Finite Group Databasebeta

← Group #11801441

Character table — Group #11801441

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order12222222336666666666666634466666661212121212121212121212121212121244444444224466661212121212121212121212124444442222222266666666666666666446666666121212121212121212121212121212124444444422446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ911-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i1-111-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i1-1
χ1011-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii-11i−i-1-11111-1-1ii−i−i−i−iii−i−iii-1111-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii-11i−i-1-11111-1-1ii−i−i−i−iii−i−iii-11
χ1111-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i1-1−ii11-1-1-1-111−i−iiiii−i−i−i−iii-1111-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i1-1−ii11-1-1-1-111−i−iiiii−i−i−i−iii-11
χ1211-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−i1-111-1-11-11-11111-1-1111-1-1-1-11-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−i1-1
χ1311-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i-11−ii-1-11111-1-1−i−iiiii−i−iii−i−i-1111-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i-11−ii-1-11111-1-1−i−iiiii−i−iii−i−i-11
χ1411-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii1-111-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii1-1
χ1511-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii1-111-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii1-1
χ1611-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii1-1i−i11-1-1-1-111ii−i−i−i−iiiii−i−i-1111-1-11-11-11111-1-1111-1-1-1-11-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii1-1i−i11-1-1-1-111ii−i−i−i−iiiii−i−i-11
χ17222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022222200-1-1-1-100000000-1-1-1-1000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022222200-1-1-1-100000000-1-1-1-1000000
χ18222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2001111000000001111000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2001111000000001111000000
χ19222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-211-2-2111111111100002222-2-200111100000000-1-1-1-1000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-211-2-2111111111100002222-2-200111100000000-1-1-1-1000000
χ20222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-22200-1-1-1-1000000001111000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-22200-1-1-1-1000000001111000000
χ2122222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000220000-1-1-1-1-1-1-1-1000000000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000220000-1-1-1-1-1-1-1-10000000000
χ2222222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2000011111111000000000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000-2-20000111111110000000000
χ2322222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111112222000000-2-20000-1-1-1-11111000000000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111112222000000-2-20000-1-1-1-111110000000000
χ2422222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-20000002200001111-1-1-1-1000000000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-20000002200001111-1-1-1-10000000000
χ25222-2-22-2-2222-22-22-2-22-2-2-2-2222002-2-222-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000222-2-22-2-2222-22-22-2-22-2-2-2-2222002-2-222-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ26222-2-22-2-2222-22-22-2-22-2-2-2-2222002-2-222-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000222-2-22-2-2222-22-22-2-22-2-2-2-2222002-2-222-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ27222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-1113−3003−30033−3−333−3−32i−2i2i−2i000000000000−ii−ii−i3i3−i3i30000000000222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-1113−3003−30033−3−333−3−32i−2i2i−2i000000000000−ii−ii−i3i3−i3i30000000000
χ28222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-1113−3003−30033−3−333−3−3−2i2i−2i2i000000000000i−ii−ii3−i3i3−i30000000000222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-1113−3003−30033−3−333−3−3−2i2i−2i2i000000000000i−ii−ii3−i3i3−i30000000000
χ29222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-111−3300−3300−3−333−3−3332i−2i2i−2i000000000000−ii−iii3−i3i3−i30000000000222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-111−3300−3300−3−333−3−3332i−2i2i−2i000000000000−ii−iii3−i3i3−i30000000000
χ30222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-111−3300−3300−3−333−3−333−2i2i−2i2i000000000000i−ii−i−i3i3−i3i30000000000222-2-22-2-2-12-11-112-2-22-21-21-12-100-111-1-111−3300−3300−3−333−3−333−2i2i−2i2i000000000000i−ii−i−i3i3−i3i30000000000
χ3122-22-2-2-22222-2-222-2-2-2222-2-2-22002-2-2-2-22200000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000022-22-2-2-22222-2-222-2-2-2222-2-2-22002-2-2-2-22200000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000
χ3222-22-2-2-22222-2-222-2-2-2222-2-2-22002-2-2-2-2220000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000022-22-2-2-22222-2-222-2-2-2222-2-2-22002-2-2-2-2220000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000
χ3322-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i32i−2i−2i2i000000000000−iii−i−333−3000000000022-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i32i−2i−2i2i000000000000−iii−i−333−30000000000
χ3422-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i000000000000i−i−ii3−3−33000000000022-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i000000000000i−i−ii3−3−330000000000
χ3522-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1i3−i300−i3i300i3i3−i3−i3−i3−i3i3i32i−2i−2i2i000000000000−iii−i3−3−33000000000022-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1i3−i300−i3i300i3i3−i3−i3−i3−i3i3i32i−2i−2i2i000000000000−iii−i3−3−330000000000
χ3622-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i000000000000i−i−ii−333−3000000000022-22-2-2-22-12-111-12-2-2-22-1211-2-100-11111-1-1i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i000000000000i−i−ii−333−30000000000
χ3722-2-22-22-22-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i2-200-1-11100000000−i−iii00000022-2-22-22-22-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i2-200-1-11100000000−i−iii000000
χ3822-2-22-22-22-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i-220011-1-100000000ii−i−i00000022-2-22-22-22-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i-220011-1-100000000ii−i−i000000
χ3922-2-22-22-22-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i-220011-1-100000000−i−iii00000022-2-22-22-22-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i-220011-1-100000000−i−iii000000
χ4022-2-22-22-22-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i2-200-1-11100000000ii−i−i00000022-2-22-22-22-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i2-200-1-11100000000ii−i−i000000
χ4122-2-22-22-2-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii22-2-20000002i−2i0000-1-111−i−iii000000000022-2-22-22-2-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii22-2-20000002i−2i0000-1-111−i−iii0000000000
χ4222-2-22-22-2-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii-2-222000000−2i2i000011-1-1ii−i−i000000000022-2-22-22-2-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii-2-222000000−2i2i000011-1-1ii−i−i0000000000
χ4322-2-22-22-2-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i22-2-2000000−2i2i0000-1-111ii−i−i000000000022-2-22-22-2-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i22-2-2000000−2i2i0000-1-111ii−i−i0000000000
χ4422-2-22-22-2-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-2220000002i−2i000011-1-1−i−iii000000000022-2-22-22-2-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-2220000002i−2i000011-1-1−i−iii0000000000
χ452-2222-2-2-222-2-22-2-22-22-2222-2-2200-22-22-2-22000000000000000000000000000000000000000000002i−2i2i−2i002-2222-2-2-222-2-22-2-22-22-2222-2-2200-22-22-2-22000000000000000000000000000000000000000000002i−2i2i−2i00
χ462-2222-2-2-222-2-22-2-22-22-2222-2-2200-22-22-2-2200000000000000000000000000000000000000000000−2i2i−2i2i002-2222-2-2-222-2-22-2-22-22-2222-2-2200-22-22-2-2200000000000000000000000000000000000000000000−2i2i−2i2i00
χ472-22-2-2-22222-2222-2-2222-2-2-2-2-2200-2-222-22-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000002-22-2-2-22222-2222-2-2222-2-2-2-2-2200-2-222-22-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
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χ1644-4-44-444-4-2-22-22222-222-2-22-2-2100-1-11-11-11002i3−2i300−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000-444-44-4-4422-22-2-2-2-22-2-222-222-10011-11-11-100−2i32i3002i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ1654-4-4-444-444-2-4-4-442-222-2-4244-2-2002-222-2-2200000000000000000000000000000000000000000000000000-4444-4-44-4-42444-4-22-2-224-2-4-42200-22-2-222-200000000000000000000000000000000000000000000000000
χ1664-4-4-444-44-24222-2-44-4-442-4-2-24-2002-222-2-2200000000000000000000000000000000000000000000000000-4444-4-44-42-4-2-2-224-444-4-2422-4200-22-2-222-200000000000000000000000000000000000000000000000000
χ1674-4-4-444-44-2-2222-22-222-222-2-2-2100-11-1-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000-4444-4-44-422-2-2-22-22-2-22-2-2222-1001-111-1-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ1684-4-4-444-44-2-2222-22-222-222-2-2-2100-11-1-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000-4444-4-44-422-2-2-22-22-2-22-2-2222-1001-111-1-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).