Finite Group Databasebeta

← Group #11780534

Character table — Group #11780534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222444444444444444444488888888888888888888888824242424242424242424242424242424484848487272144
order122233666666344466612121212121212121212121288121212121212242424242424242424242424242424242444888824242424242424246121212442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ61111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1-1-1-11
χ71111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1
χ922222222222222-2-222222222222-2-2-2-200-2-2-2-2-2-20000000000000000000000000000000000002-20
χ1022222222222222-2-222222222222-2-2-2-200-2-2-2-2-2-2000000000000000000000000000000000000-220
χ112222222222222-22-2222-2-2-2-2-2-2-2-222-2-2002-222-2-20000000000000000020-2000000000000002-2000
χ122222222222222-22-2222-2-2-2-2-2-2-2-222-2-2002-222-2-200000000000000000-20200000000000000-22000
χ132222222222222-2-22222-2-2-2-2-2-2-2-2-2-22200-22-2-222000000000000000020-200000000000002-200000
χ142222222222222-2-22222-2-2-2-2-2-2-2-2-2-22200-22-2-2220000000000000000-2020000000000000-2200000
χ1522222-12-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-120202200-1-1-1-10000-1-100000
χ1622222-12-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-200111100001100000
χ1722222-12-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122-2-22-1-1-1-1-1-2-2-2-21111111111112020-2-20011110000-1-100000
χ1822222-12-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122-2-22-1-1-1-1-1-2-2-2-2111111111111-20-202200-1-1-1-100001100000
χ1922222-12-1-122-1-1-2-22-1-1-111-2-21111112200-2-111-1-10000333333−3−3−3−3−3−320-20000033−3−30000-1100000
χ2022222-12-1-122-1-1-2-22-1-1-111-2-21111112200-2-111-1-10000333333−3−3−3−3−3−3-20200000−3−33300001-100000
χ2122222-12-1-122-1-1-2-22-1-1-111-2-21111112200-2-111-1-10000−3−3−3−3−3−333333320-200000−3−3330000-1100000
χ2222222-12-1-122-1-1-2-22-1-1-111-2-21111112200-2-111-1-10000−3−3−3−3−3−3333333-2020000033−3−300001-100000
χ232222-12-122-1-12-1222-1-1-122-1-1-1-1-1-122-1-122-12-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1020200220000-1-1-1-100-1-1000
χ242222-12-122-1-12-1222-1-1-122-1-1-1-1-1-122-1-122-12-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10-20-200-2-2000011110011000
χ252222-12-122-1-12-1222-1-1-122-1-1-1-1-1-122-1-1-2-2-12-1-1-1-11111-2-21111-2-21111020200-2-20000111100-1-1000
χ262222-12-122-1-12-1222-1-1-122-1-1-1-1-1-122-1-1-2-2-12-1-1-1-11111-2-21111-2-211110-20-200220000-1-1-1-10011000
χ272222-12-122-1-12-1-22-2-1-1-1-2-2111111221100-1-2-1-11133−3−30033−3−30033−3−3020-20000000033−3−300-11000
χ282222-12-122-1-12-1-22-2-1-1-1-2-2111111221100-1-2-1-11133−3−30033−3−30033−3−30-20200000000−3−333001-1000
χ292222-12-122-1-12-1-22-2-1-1-1-2-2111111221100-1-2-1-111−3−33300−3−33300−3−333020-200000000−3−33300-11000
χ302222-12-122-1-12-1-22-2-1-1-1-2-2111111221100-1-2-1-111−3−33300−3−33300−3−3330-2020000000033−3−3001-1000
χ3144444-24-2-244-2-24-4-4-2-2-2-2-244-2-2-2-222-4-400-422222000000000000000000000000000000000000000
χ3244444-24-2-244-2-2-44-4-2-2-222-4-42222-2-2-4-40042-2-222000000000000000000000000000000000000000
χ334444-24-244-2-24-24-4-4-2-2-244-2-2-2-2-2-2-4-422002-42222000000000000000000000000000000000000000
χ344444-24-244-2-24-2-4-44-2-2-2-4-4222222-4-4-2-2002422-2-2000000000000000000000000000000000000000
χ354444-2-2-2-2-2-2-2-21444111-2-2-2-21111-2-2-2-244-2-21111-2-2-2-2-2-21111-2-2111100000000000000000000000
χ364444-2-2-2-2-2-2-2-21444111-2-2-2-21111-2-2-2-2-4-4-2-21111222222-1-1-1-122-1-1-1-100000000000000000000000
χ374444-2-2-2-2-2-2-2-214-4-4111-2-2-2-2111122220022-1-1-1-100000033-3-300-3-33300000000000000000000000
χ384444-2-2-2-2-2-2-2-214-4-4111-2-2-2-2111122220022-1-1-1-1000000-3-3330033-3-300000000000000000000000
χ394444-2-2-2-2-2-2-2-21-44-41112222-1-1-1-1-2-22200-2211-1-12323−23−2300−3−33300−3−33300000000000000000000000
χ404444-2-2-2-2-2-2-2-21-44-41112222-1-1-1-1-2-22200-2211-1-1−23−2323230033−3−30033−3−300000000000000000000000
χ414444-2-2-2-2-2-2-2-21-4-441112222-1-1-1-122-2-2002-2-1-11100002323−3−3−3−3−23−23333300000000000000000000000
χ424444-2-2-2-2-2-2-2-21-4-441112222-1-1-1-122-2-2002-2-1-1110000−23−2333332323−3−3−3−300000000000000000000000
χ4344-4-444-44-44-4-440004-4-40000000000002i−2i0000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000
χ4444-4-444-44-44-4-440004-4-4000000000000−2i2i000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000
χ4544-4-44-2-4-224-42-2000-2220000000023−23002i−2i0023−23002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000
χ4644-4-44-2-4-224-42-2000-2220000000023−2300−2i2i0023−2300−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000
χ4744-4-44-2-4-224-42-2000-22200000000−2323002i−2i00−2323002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000
χ4844-4-44-2-4-224-42-2000-22200000000−232300−2i2i00−232300−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000
χ4944-4-4-2424-4-22-4-2000-222000000000023−232i−2i000023−23−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000
χ5044-4-4-2424-4-22-4-2000-222000000000023−23−2i2i000023−23ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000
χ5144-4-4-2424-4-22-4-2000-2220000000000−23232i−2i0000−2323ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ112i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ112i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000
χ5244-4-4-2424-4-22-4-2000-2220000000000−2323−2i2i0000−2323−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000
χ5344-4-4-2-22-22-22210001-1-1000033-3-323−2323−232i−2i00−33−33−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−iiζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ii−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ1100000000000000000000000
χ5444-4-4-2-22-22-22210001-1-1000033-3-323−2323−23−2i2i00−33−33ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11i−i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11i−iζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ1100000000000000000000000
χ5544-4-4-2-22-22-22210001-1-1000033-3-3−2323−23232i−2i003−33−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ1100000000000000000000000
χ5644-4-4-2-22-22-22210001-1-1000033-3-3−2323−2323−2i2i003−33−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i−iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11i−i−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ1100000000000000000000000
χ5744-4-4-2-22-22-22210001-1-10000-3-33323−23−23232i−2i00−333−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii00000000000000000000000
χ5844-4-4-2-22-22-22210001-1-10000-3-33323−23−2323−2i2i00−333−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11i−i−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i−i00000000000000000000000
χ5944-4-4-2-22-22-22210001-1-10000-3-333−232323−232i−2i003−3−33−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ii−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−ii00000000000000000000000
χ6044-4-4-2-22-22-22210001-1-10000-3-333−232323−23−2i2i003−3−33ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11i−iζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11i−i00000000000000000000000
χ614-44-4444-44-4-4-44000-44-400000000000000000000000000000000000000002i−2i002i−2i2i−2i00000000000
χ624-44-4444-44-4-4-44000-44-40000000000000000000000000000000000000000−2i2i00−2i2i−2i2i00000000000
χ634-44-44-242-2-4-42-20002-2223−230023−2323−23000000000000000000000000000000002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000
χ644-44-44-242-2-4-42-20002-2223−230023−2323−2300000000000000000000000000000000−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000
χ654-44-44-242-2-4-42-20002-22−232300−2323−2323000000000000000000000000000000002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000
χ664-44-44-242-2-4-42-20002-22−232300−2323−232300000000000000000000000000000000−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000
χ674-4-4444-4-4-4-4444000-4-440000000000000000000000000000000000000000002-200002-22-20000000
χ684-4-4444-4-4-4-4444000-4-44000000000000000000000000000000000000000000-220000-22-220000000
χ694-4-44-242-4-42-24-200022-20023−2323−23−232300000000000000000000000000000000002-20000−1−31+3−1+31−30000000
χ704-4-44-242-4-42-24-200022-20023−2323−23−23230000000000000000000000000000000000-2200001+3−1−31−3−1+30000000
χ714-4-44-242-4-42-24-200022-200−2323−232323−2300000000000000000000000000000000002-20000−1+31−3−1−31+30000000
χ724-4-44-242-4-42-24-200022-200−2323−232323−230000000000000000000000000000000000-2200001−3−1+31+3−1−30000000
χ738-88-8-48-4-8844-8-40004-4400000000000000000000000000000000000000000000000000000000000
χ748-88-8-4-4-44-44442000-22-243−4300−2323−2323000000000000000000000000000000000000000000000000000
χ758-88-8-4-4-44-44442000-22-2−43430023−2323−23000000000000000000000000000000000000000000000000000
χ768-8-888-4-844-88-4-400044-400000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-44444-4-42000-2-220043−43−232323−23000000000000000000000000000000000000000000000000000
χ788-8-88-4-44444-4-42000-2-2200−434323−23−2323000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.