This story was updated at 10 a.m. Wednesday with comments from the Anti-Defamation League.

Relatives of the Dallas police officer who killed Botham Jean said Tuesday that they aren't racists despite social-media chatter about photos of them.

Specifically, internet sleuths have pointed to three photos of Officer Amber Guyger and her family as possible indications that they have white-supremacist inclinations. Guyger, who is white, is now at the center of the national outrage over white officers shooting unarmed black men.

Guyger shot Jean, who is black, in his apartment last week after she mistook his apartment for her own exactly one floor below, authorities say.

After the shooting, social media users noted photos of Guyger's brother-law, Noe Garza, making hand gestures that some believed might symbolize white power.

But in a telephone interview Tuesday, Garza denied he or any member of Guyger's family has connections to white supremacists or supports their causes. He said the gestures were meant to be silly and fun.

Dallas police Officer Amber Guyger with her family at Joe's Crab Shack in 2016. Guyger's brother-in-law, Noe Garza, has been accused of making white supremacist hand signals in this photo. He said he is making a "6" and a "9" because they were celebrating Guyger's father's birthday. (Facebook)

"My last name is Garza. I'm a Mexican," he said. "I don't care about your nationality. I don't care about the color of your skin. We all bleed red."

Family members declined to discuss the shooting or Guyger, who has been charged with manslaughter. But they said they wanted to address accusations Guyger and her family are racists.

The Anti-Defamation League, which is known for identifying hate groups, examined the pictures at the request of The Dallas Morning News. A spokesman for the ADL, Jake Hyman, said experts with the organization "don't think there is any white supremacist intention here."

The ADL maintains an online library of more than 170 hate symbols. Garza's gestures appear to have a partial resemblance to the so-called "peckerwood" and "white power" hand signs associated with white supremacists, but don't exactly match any in the ADL's database.

"None of these are racist photos," said Garza, 43, a former chef. "I am not racist."

The first photo shows Garza in a gray T-shirt and black shorts gesturing with both hands. Garza said he's not flashing gang signs. The family was celebrating his father-in-law's birthday, he said.

Noe Garza in a photo taken more than 15 years ago. Social media rumors say he is making white supremacist hand signals. But Garza told The Dallas Morning News he is making a "L" and a "W" -- the initials of one of his favorite bands. Garza is the brother-in-law of Amber Guyger, the Dallas police officer charged in the shooting death of Bosham Jean. (Facebook)

"It's was his 69th birthday, so it was a 69," said Garza. "That's all it was."

The hand gesture could resemble a six and a nine from Garza's perspective, but appear backward to a viewer of the photo.

Garza's wife, Alana Guyger, who is Amber Guyger's sister, said the photo was taken in July 2016 at a Joe's Crab Shack in Grapevine.

The second picture depicts Garza among five men. Some are making hand gestures and holding beers. In that photo, Garza said, he is making an "L" and "W" with his hands.

He said the photo was taken when he and friends went to see the punk band Lagwagon perform years ago at what is now Dos Equis Pavilion in Fair Park. He is also wearing a black hat with the letter "W" and "L" overlapping.

"It's one of my favorite bands," Garza said.

The third photo making the rounds shows Guyger's mother in a white T-shirt that says "All Lives Matter."

Alana Guyger said the shirt was a gift to her mother from her father after the July 7, 2016, downtown ambush in which a gunman killed five Dallas officers.

The slogan "All Lives Matter" is a riff on the Black Lives Matter movement. Black Lives Matter campaigns against racism -- and what its members see as the disregard for black lives -- especially in shootings by police. "All Lives Matter" is often a retort from supporters of police and opponents of the Black Lives Matter movement.

Garza said he hates "the fact that I have to prove I'm not racist."

Research editor Erin Sood contributed to this report.