Finite Group Databasebeta

← Group #11801447

Character table — Group #11801447

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order12222222336666666666666634466666661212121212121212121212121212121244444444224466661212121212121212121212124444442222222266666666666666666446666666121212121212121212121212121212124444444422446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i11-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i
χ1011-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii11-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii
χ1111-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii−ii11-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii−ii
χ1211-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i11-111-1-1-11111-1-1-11-1-1-1-1111-111-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i
χ1311-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i-11−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−ii11-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i-11−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−ii
χ1411-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii-11i−i-1-11111-1-1−i−iiiii−i−i−i−iiii−i11-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii-11i−i-1-11111-1-1−i−iiiii−i−i−i−iiii−i
χ1511-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111ii−i−i1-1−ii11-1-1-1-111ii−i−i−i−iii−i−iiii−i11-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111ii−i−i1-1−ii11-1-1-1-111ii−i−i−i−iii−i−iiii−i
χ1611-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−iii1-1i−i11-1-1-1-111−i−iiiii−i−iii−i−i−ii11-111-1-1-11111-1-1-11-1-1-1-1111-11-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−iii1-1i−i11-1-1-1-111−i−iiiii−i−iii−i−i−ii
χ17222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ18222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ19222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-211-2-2111111111122220000-2-2001111-1-1-1-100000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-211-2-2111111111122220000-2-2001111-1-1-1-100000000000000
χ20222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-211-2-21111111111-2-2-2-200002200-1-1-1-1111100000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-211-2-21111111111-2-2-2-200002200-1-1-1-1111100000000000000
χ2122222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-100000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ2222222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000001111111100000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ2322222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111110000222200-2-200000000-1-1-1-1111100000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111110000222200-2-200000000-1-1-1-11111000000
χ2422222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-20022000000001111-1-1-1-100000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ25222-2-22-2-2222-22-2-2222-2-2-2-2-222002-222-2-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000222-2-22-2-2222-22-2-2222-2-2-2-2-222002-222-2-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ26222-2-22-2-2222-22-2-2222-2-2-2-2-222002-222-2-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000222-2-22-2-2222-22-2-2222-2-2-2-2-222002-222-2-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ27222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-1111003−3003−333−3−333−3−32i−2i2i−2i00000000−i3i3−i3i3−ii−ii00000000000000222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-1111003−3003−333−3−333−3−32i−2i2i−2i00000000−i3i3−i3i3−ii−ii00000000000000
χ28222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-1111003−3003−333−3−333−3−3−2i2i−2i2i00000000i3−i3i3−i3i−ii−i00000000000000222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-1111003−3003−333−3−333−3−3−2i2i−2i2i00000000i3−i3i3−i3i−ii−i00000000000000
χ29222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-111100−3300−33−3−333−3−3332i−2i2i−2i00000000i3−i3i3−i3−ii−ii00000000000000222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-111100−3300−33−3−333−3−3332i−2i2i−2i00000000i3−i3i3−i3−ii−ii00000000000000
χ30222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-111100−3300−33−3−333−3−333−2i2i−2i2i00000000−i3i3−i3i3i−ii−i00000000000000222-2-22-2-22-12-22-2-2-1-1-111-2112-100-11-1-111100−3300−33−3−333−3−333−2i2i−2i2i00000000−i3i3−i3i3i−ii−i00000000000000
χ3122-222-2-2-22-122-2-2-2-111112-1-1-2-12-2-1-11111-122-1-1-2-211-1-1-1-1111122-2-200002-200-1-111-1-1110000000000000022-222-2-2-22-122-2-2-2-111112-1-1-2-12-2-1-11111-122-1-1-2-211-1-1-1-1111122-2-200002-200-1-111-1-11100000000000000
χ3222-222-2-2-22-122-2-2-2-111112-1-1-2-12-2-1-11111-122-1-1-2-211-1-1-1-11111-2-2220000-220011-1-111-1-10000000000000022-222-2-2-22-122-2-2-2-111112-1-1-2-12-2-1-11111-122-1-1-2-211-1-1-1-11111-2-2220000-220011-1-111-1-100000000000000
χ3322-222-2-2-22-122-2-2-2-111112-1-1-2-1-22-1-11111-1-2-21122-1-11111-1-1-1-122-2-20000-220011-1-1-1-1110000000000000022-222-2-2-22-122-2-2-2-111112-1-1-2-1-22-1-11111-1-2-21122-1-11111-1-1-1-122-2-20000-220011-1-1-1-11100000000000000
χ3422-222-2-2-22-122-2-2-2-111112-1-1-2-1-22-1-11111-1-2-21122-1-11111-1-1-1-1-2-22200002-200-1-11111-1-10000000000000022-222-2-2-22-122-2-2-2-111112-1-1-2-1-22-1-11111-1-2-21122-1-11111-1-1-1-1-2-22200002-200-1-11111-1-100000000000000
χ3522-222-2-2-2-12-1-11112-2-2-2-2-1221-12-2-1-11111-1-1-12211-2-2-1-1-1-1111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii00000022-222-2-2-2-12-1-11112-2-2-2-2-1221-12-2-1-11111-1-1-12211-2-2-1-1-1-1111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ3622-222-2-2-2-12-1-11112-2-2-2-2-1221-12-2-1-11111-1-1-12211-2-2-1-1-1-111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i00000022-222-2-2-2-12-1-11112-2-2-2-2-1221-12-2-1-11111-1-1-12211-2-2-1-1-1-111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ3722-222-2-2-2-12-1-11112-2-2-2-2-1221-1-22-1-11111-111-2-2-1-1221111-1-1-1-100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i00000022-222-2-2-2-12-1-11112-2-2-2-2-1221-1-22-1-11111-111-2-2-1-1221111-1-1-1-100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i000000
χ3822-222-2-2-2-12-1-11112-2-2-2-2-1221-1-22-1-11111-111-2-2-1-1221111-1-1-1-10000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii00000022-222-2-2-2-12-1-11112-2-2-2-2-1221-1-22-1-11111-111-2-2-1-1221111-1-1-1-10000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii000000
χ3922-2-2-2-222222-2-2222-2-222-2-2-2-22002-2-2-222-200000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000022-2-2-2-222222-2-2222-2-222-2-2-2-22002-2-2-222-200000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000
χ4022-2-2-2-222222-2-2222-2-222-2-2-2-22002-2-2-222-20000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000022-2-2-2-222222-2-2222-2-222-2-2-2-22002-2-2-222-20000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000
χ4122-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-11003−300−3333−3−3−3−3332i−2i−2i2i00000000−i3i3i3−i3−iii−i0000000000000022-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-11003−300−3333−3−3−3−3332i−2i−2i2i00000000−i3i3i3−i3−iii−i00000000000000
χ4222-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-11003−300−3333−3−3−3−333−2i2i2i−2i00000000i3−i3−i3i3i−i−ii0000000000000022-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-11003−300−3333−3−3−3−333−2i2i2i−2i00000000i3−i3−i3i3i−i−ii00000000000000
χ4322-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-1100−33003−3−3−33333−3−32i−2i−2i2i00000000i3−i3−i3i3−iii−i0000000000000022-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-1100−33003−3−3−33333−3−32i−2i−2i2i00000000i3−i3−i3i3−iii−i00000000000000
χ4422-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-1100−33003−3−3−33333−3−3−2i2i2i−2i00000000−i3i3i3−i3i−i−ii0000000000000022-2-2-2-2222-12-2-222-111-1-1-211-2-100-1111-1-1100−33003−3−3−33333−3−3−2i2i2i−2i00000000−i3i3i3−i3i−i−ii00000000000000
χ452-222-2-22-222-2-222-2-22-22-222-2-2200-2-22-22-22000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000002-222-2-22-222-2-222-2-22-22-222-2-2200-2-22-22-22000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ462-222-2-22-222-2-222-2-22-22-222-2-2200-2-22-22-2200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000002-222-2-22-222-2-222-2-22-22-222-2-2200-2-22-22-2200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ472-222-2-22-2-1211-1-11-22-22-2-12-21-10011-11-11-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii3−33−30000002-222-2-22-2-1211-1-11-22-22-2-12-21-10011-11-11-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
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χ1654-4-4-4444-44-2-44-44-422-2-22-42-24-2002-22-2-22200000000000000000000000000000000000000000000000000-4444-4-4-44-424-44-44-2-222-24-22-4200-22-222-2-200000000000000000000000000000000000000000000000000
χ1664-4-4-4444-4-242-22-22-4-444-42-44-2-2002-22-2-22200000000000000000000000000000000000000000000000000-4444-4-4-442-4-22-22-244-4-44-24-42200-22-222-2-200000000000000000000000000000000000000000000000000
χ1674-4-4-4444-4-2-22-22-2222-2-2222-2-2100-11-111-1-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000-4444-4-4-4422-22-22-2-2-222-2-2-222-1001-11-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ1684-4-4-4444-4-2-22-22-2222-2-2222-2-2100-11-111-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000-4444-4-4-4422-22-22-2-2-222-2-2-222-1001-11-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000

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