Finite Group Databasebeta

← Group #11861066

Character table — Group #11861066

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444446666121212121212121212121212121224242424363636361111222222222222224444444444444444444444444444666612121212121212121212121212122424242436363636
order1244233466661212121212123446666121212121212121212121212121212121212121212888824888824242424242424246122424248822442664666612121212121264466661212121212121212121212121212121212121212128888248888242424242424242461224242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-11111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ81111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ911-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−iii−i−i1-1i−i1-1ii−i−i11-1-11-1i−i1-1i−i11-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−iii−i−i1-1i−i1-1ii−i−i11-1-11-1i−i1-1i−i
χ1011-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−iii−i−i-11−ii1-1ii−i−i11-1-1-11−ii-11−ii11-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−iii−i−i-11−ii1-1ii−i−i11-1-1-11−ii-11−ii
χ1111-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−i−i−iii1-1i−i-11−i−iii-1-1111-1i−i-11−ii11-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−i−i−iii1-1i−i-11−i−iii-1-1111-1i−i-11−ii
χ1211-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−i−i−iii-11−ii-11−i−iii-1-111-11−ii1-1i−i11-1-1-11111-1-1111-1-1-1-11i−i-11-1-1ii−i−i111-1-1iiiiii−i−i−i−i−i−i−i−iii-11−ii-11−i−iii-1-111-11−ii1-1i−i
χ1311-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiiiii−i−i1-1−ii-11ii−i−i-1-1111-1−ii-11i−i11-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiiiii−i−i1-1−ii-11ii−i−i-1-1111-1−ii-11i−i
χ1411-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiiiii−i−i-11i−i-11ii−i−i-1-111-11i−i1-1−ii11-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiiiii−i−i-11i−i-11ii−i−i-1-111-11i−i1-1−ii
χ1511-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiii−i−iii1-1−ii1-1−i−iii11-1-11-1−ii1-1−ii11-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiii−i−iii1-1−ii1-1−i−iii11-1-11-1−ii1-1−ii
χ1611-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiii−i−iii-11i−i1-1−i−iii11-1-1-11i−i-11i−i11-1-1-11111-1-1111-1-1-1-11−ii-11-1-1−i−iii111-1-1−i−i−i−i−i−iiiiiii−i−iii-11i−i1-1−i−iii11-1-1-11i−i-11i−i
χ17222222-12222-12222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-10000222222-12222-12222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-10000
χ18222222-12222-12222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000011110000222222-12222-12222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000011110000
χ19222222-12222-12222-1-1-1-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1111111111111000022-2-20000000000-1-1110000222222-12222-12222-1-1-1-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1111111111111000022-2-20000000000-1-1110000
χ20222222-12222-12222-1-1-1-2-2-1-1-1-1-2-2-2-2-1-1-1-1-11111111111110000-2-222000000000011-1-10000222222-12222-12222-1-1-1-2-2-1-1-1-1-2-2-2-2-1-1-1-1-11111111111110000-2-222000000000011-1-10000
χ2122222-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222000022-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222000022-1-1-1-1-1-1-1-100000000
χ2222222-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2111111110000000022222-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-21111111100000000
χ2322222-122-1-1-12-1-1-1-122-1-2-22-1-1-111112-1-1-1-1-2-21111-2-2111122220000-2-2-1-1-1-111110000000022222-122-1-1-12-1-1-1-122-1-2-22-1-1-111112-1-1-1-1-2-21111-2-2111122220000-2-2-1-1-1-1111100000000
χ2422222-122-1-1-12-1-1-1-122-1-2-22-1-1-111112-1-1-1-1-2-21111-2-21111-2-2-2-20000221111-1-1-1-10000000022222-122-1-1-12-1-1-1-122-1-2-22-1-1-111112-1-1-1-1-2-21111-2-21111-2-2-2-20000221111-1-1-1-100000000
χ252222-222-22-2-22-2-22222200-22-2-20000-2-2-2220000000000002-22-20000002-22-20000000000002222-222-22-2-22-2-22222200-22-2-20000-2-2-2220000000000002-22-20000002-22-2000000000000
χ262222-222-22-2-22-2-22222200-22-2-20000-2-2-222000000000000-22-22000000-22-220000000000002222-222-22-2-22-2-22222200-22-2-20000-2-2-222000000000000-22-22000000-22-22000000000000
χ272222-2-12-2-111211-1-122-100-2-1113−33−3-211-1-10033−3−30033−3−32-22-2000000-11-113−33−3000000002222-2-12-2-111211-1-122-100-2-1113−33−3-211-1-10033−3−30033−3−32-22-2000000-11-113−33−300000000
χ282222-2-12-2-111211-1-122-100-2-1113−33−3-211-1-10033−3−30033−3−3-22-220000001-11-1−33−33000000002222-2-12-2-111211-1-122-100-2-1113−33−3-211-1-10033−3−30033−3−3-22-220000001-11-1−33−3300000000
χ292222-2-12-2-111211-1-122-100-2-111−33−33-211-1-100−3−33300−3−3332-22-2000000-11-11−33−33000000002222-2-12-2-111211-1-122-100-2-111−33−33-211-1-100−3−33300−3−3332-22-2000000-11-11−33−3300000000
χ302222-2-12-2-111211-1-122-100-2-111−33−33-211-1-100−3−33300−3−333-22-220000001-11-13−33−3000000002222-2-12-2-111211-1-122-100-2-111−33−33-211-1-100−3−33300−3−333-22-220000001-11-13−33−300000000
χ3122-2-2222-22222-2-2-2-2-2-220022220000-2-2-2-2-20000000000002i−2i−2i2i0000002i−2i−2i2i00000000000022-2-2222-22222-2-2-2-2-2-220022220000-2-2-2-2-20000000000002i−2i−2i2i0000002i−2i−2i2i000000000000
χ3222-2-2222-22222-2-2-2-2-2-220022220000-2-2-2-2-2000000000000−2i2i2i−2i000000−2i2i2i−2i00000000000022-2-2222-22222-2-2-2-2-2-220022220000-2-2-2-2-2000000000000−2i2i2i−2i000000−2i2i2i−2i000000000000
χ3322-2-22-12-2-1-1-121111-2-2-1002-1-1-1−i3i3i3−i3-2111100−i3−i3i3i300i3i3−i3−i32i−2i−2i2i000000−iii−i−333−30000000022-2-22-12-2-1-1-121111-2-2-1002-1-1-1−i3i3i3−i3-2111100−i3−i3i3i300i3i3−i3−i32i−2i−2i2i000000−iii−i−333−300000000
χ3422-2-22-12-2-1-1-121111-2-2-1002-1-1-1−i3i3i3−i3-2111100−i3−i3i3i300i3i3−i3−i3−2i2i2i−2i000000i−i−ii3−3−330000000022-2-22-12-2-1-1-121111-2-2-1002-1-1-1−i3i3i3−i3-2111100−i3−i3i3i300i3i3−i3−i3−2i2i2i−2i000000i−i−ii3−3−3300000000
χ3522-2-22-12-2-1-1-121111-2-2-1002-1-1-1i3−i3−i3i3-2111100i3i3−i3−i300−i3−i3i3i32i−2i−2i2i000000−iii−i3−3−330000000022-2-22-12-2-1-1-121111-2-2-1002-1-1-1i3−i3−i3i3-2111100i3i3−i3−i300−i3−i3i3i32i−2i−2i2i000000−iii−i3−3−3300000000
χ3622-2-22-12-2-1-1-121111-2-2-1002-1-1-1i3−i3−i3i3-2111100i3i3−i3−i300−i3−i3i3i3−2i2i2i−2i000000i−i−ii−333−30000000022-2-22-12-2-1-1-121111-2-2-1002-1-1-1i3−i3−i3i3-2111100i3i3−i3−i300−i3−i3i3i3−2i2i2i−2i000000i−i−ii−333−300000000
χ3722-2-2-22-122-2-2-122-2-211-12i−2i1-1112i2i−2i−2i-1-1-111−i−i−i−i−i−iiiiiii00002-22i−2i0000000000-11−ii000022-2-2-22-122-2-2-122-2-211-12i−2i1-1112i2i−2i−2i-1-1-111−i−i−i−i−i−iiiiiii00002-22i−2i0000000000-11−ii0000
χ3822-2-2-22-122-2-2-122-2-211-12i−2i1-1112i2i−2i−2i-1-1-111−i−i−i−i−i−iiiiiii0000-22−2i2i00000000001-1i−i000022-2-2-22-122-2-2-122-2-211-12i−2i1-1112i2i−2i−2i-1-1-111−i−i−i−i−i−iiiiiii0000-22−2i2i00000000001-1i−i0000
χ3922-2-2-22-122-2-2-122-2-211-1−2i2i1-111−2i−2i2i2i-1-1-111iiiiii−i−i−i−i−i−i00002-2−2i2i0000000000-11i−i000022-2-2-22-122-2-2-122-2-211-1−2i2i1-111−2i−2i2i2i-1-1-111iiiiii−i−i−i−i−i−i00002-2−2i2i0000000000-11i−i0000
χ4022-2-2-22-122-2-2-122-2-211-1−2i2i1-111−2i−2i2i2i-1-1-111iiiiii−i−i−i−i−i−i0000-222i−2i00000000001-1−ii000022-2-2-22-122-2-2-122-2-211-1−2i2i1-111−2i−2i2i2i-1-1-111iiiiii−i−i−i−i−i−i0000-222i−2i00000000001-1−ii0000
χ4122-2-2-2-122-1112-1-111-2-2-12i−2i-2-111−i−iii2-1-1112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i00002-2−i−iii-1-1110000000022-2-2-2-122-1112-1-111-2-2-12i−2i-2-111−i−iii2-1-1112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i00002-2−i−iii-1-11100000000
χ4222-2-2-2-122-1112-1-111-2-2-12i−2i-2-111−i−iii2-1-1112i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i0000-22ii−i−i11-1-10000000022-2-2-2-122-1112-1-111-2-2-12i−2i-2-111−i−iii2-1-1112i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i0000-22ii−i−i11-1-100000000
χ4322-2-2-2-122-1112-1-111-2-2-1−2i2i-2-111ii−i−i2-1-111−2i−2iiiii2i2i−i−i−i−i2i2i−2i−2i0000-22−i−iii11-1-10000000022-2-2-2-122-1112-1-111-2-2-1−2i2i-2-111ii−i−i2-1-111−2i−2iiiii2i2i−i−i−i−i2i2i−2i−2i0000-22−i−iii11-1-100000000
χ4422-2-2-2-122-1112-1-111-2-2-1−2i2i-2-111ii−i−i2-1-111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i00002-2ii−i−i-1-1110000000022-2-2-2-122-1112-1-111-2-2-1−2i2i-2-111ii−i−i2-1-111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i00002-2ii−i−i-1-11100000000
χ4544444-2-24-2-2-2-2-2-2-2-2-2-2144-2111-2-2-2-2-21111-2-21111-2-211110000000000000000000000000044444-2-24-2-2-2-2-2-2-2-2-2-2144-2111-2-2-2-2-21111-2-21111-2-2111100000000000000000000000000
χ4644444-2-24-2-2-2-2-2-2-2-2-2-21-4-4-21112222-2111122-1-1-1-122-1-1-1-10000000000000000000000000044444-2-24-2-2-2-2-2-2-2-2-2-21-4-4-21112222-2111122-1-1-1-122-1-1-1-100000000000000000000000000
χ474444-44-2-44-4-4-2-4-444-2-2-2002-2220000222-2-2000000000000000000000000000000000000004444-44-2-44-4-4-2-4-444-2-2-2002-2220000222-2-200000000000000000000000000000000000000
χ484444-4-2-2-4-222-222-2-2-2-210021-1-123−2323−232-1-11100−3−33300−3−333000000000000000000000000004444-4-2-2-4-222-222-2-2-2-210021-1-123−2323−232-1-11100−3−33300−3−33300000000000000000000000000
χ494444-4-2-2-4-222-222-2-2-2-210021-1-1−2323−23232-1-1110033−3−30033−3−3000000000000000000000000004444-4-2-2-4-222-222-2-2-2-210021-1-1−2323−23232-1-1110033−3−30033−3−300000000000000000000000000
χ5044-4-444-2-4444-2-4-4-4-422-200-2-2-2-20000222220000000000000000000000000000000000000044-4-444-2-4444-2-4-4-4-422-200-2-2-2-200002222200000000000000000000000000000000000000
χ5144-4-44-2-2-4-2-2-2-2222222100-2111−2i32i32i3−2i32-1-1-1-100i3i3−i3−i300−i3−i3i3i30000000000000000000000000044-4-44-2-2-4-2-2-2-2222222100-2111−2i32i32i3−2i32-1-1-1-100i3i3−i3−i300−i3−i3i3i300000000000000000000000000
χ5244-4-44-2-2-4-2-2-2-2222222100-21112i3−2i3−2i32i32-1-1-1-100−i3−i3i3i300i3i3−i3−i30000000000000000000000000044-4-44-2-2-4-2-2-2-2222222100-21112i3−2i3−2i32i32-1-1-1-100−i3−i3i3i300i3i3−i3−i300000000000000000000000000
χ5344-4-4-4-2-24-222-2-2-2222214i−4i21-1-1−2i−2i2i2i-211-1-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000044-4-4-4-2-24-222-2-2-2222214i−4i21-1-1−2i−2i2i2i-211-1-1−2i−2iiiii2i2i−i−i−i−i00000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.