Finite Group Databasebeta

← Group #13156818

Character table — Group #13156818

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−ii−iii−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-111-1-111-1-111-1-1ii−i−i
χ1011-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−i−iiii−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1111-1-1-1-111-1-111−i−iii
χ1111-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−iii−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1-1-11111-1-1-1-111−i−iii
χ1211-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−ii−iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-11-1-111-1-11111-1-1ii−i−i
χ1311-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−ii−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-11-1-111-1-11111-1-1−i−iii
χ1411-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−i−ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1-1-11111-1-1-1-111ii−i−i
χ1511-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−iii−i−i−iii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1111-1-1-1-111-1-111ii−i−i
χ1611-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−ii−ii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-111-1-111-1-111-1-1−i−iii
χ172222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-122-1-122-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-1-2-211-2-211000022220000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-12200111122-1-122-1-10000-2-2-2-2000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2001111-2-211-2-2110000-2-2-2-2000011111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122220000-1-122-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ22222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122-2-20000-1-122-1-12211110000-2-2-2-200000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ23222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-222000011-2-211-2-2-1-1-1-1000022220000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ24222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-2-2-2000011-2-211-2-211110000-2-2-2-20000000011111111111111112222000000000000-1-1-1-10000
χ2522222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ2622222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100-2-2222200000000-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ2722222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-20000000022221111-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ2822222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-200000000-2-2-2-211111111111111110000000011111111000000220000-1-1-1-100000000
χ29222-22-2-2-22222-22-22-2-22-22-2-22-22-22-22-2-22222-2-22-2-22-2-22-2-22-2-222-222-2000022-2-222-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ30222-22-2-2-22222-22-22-2-22-22-2-22-22-22-22-2-22222-2-22-2-22-2-22-2-22-2-222-222-2000022-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ31222-22-2-2-22-122-2-112-2-2-112-2-22-2-112-22-21-12-1-1112-2-2-111-1112-2-2-1-11-1210000-1-111-1-111000000003−3003−300−i3i3−i3i3000000000000000033−3−333−3−3−i3−i3i3i3−i3−i3i3i32i−2i2i−2i000000000000−ii−ii0000
χ32222-22-2-2-22-122-2-112-2-2-112-2-22-2-112-22-21-12-1-1112-2-2-111-1112-2-2-1-11-1210000-1-111-1-111000000003−3003−300i3−i3i3−i3000000000000000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i000000000000i−ii−i0000
χ33222-22-2-2-22-122-2-112-2-2-112-2-22-2-112-22-21-12-1-1112-2-2-111-1112-2-2-1-11-1210000-1-111-1-11100000000−3300−3300−i3i3−i3i30000000000000000−3−333−3−333−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i000000000000i−ii−i0000
χ34222-22-2-2-22-122-2-112-2-2-112-2-22-2-112-22-21-12-1-1112-2-2-111-1112-2-2-1-11-1210000-1-111-1-11100000000−3300−3300i3−i3i3−i30000000000000000−3−333−3−333i3i3−i3−i3i3i3−i3−i32i−2i2i−2i000000000000−ii−ii0000
χ3522-22-2-2-222222-22-2-222-222-2-2-22-22-22-2-2-22222-2-22-2-22-2-2-222-222-2-22-2-22000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000
χ3622-22-2-2-222222-22-2-222-222-2-2-22-22-22-2-2-22222-2-22-2-22-2-2-222-222-2-22-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000
χ3722-22-2-2-222-122-2-11-2221-12-2-2-221-1-22-2-21-12-1-1112-2-2-1111-1-1-22211-11-2-10000-1-11111-1-100000000−i3i300i3−i3003−3−330000000000000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333−2i2i2i−2i000000000000i−i−ii0000
χ3822-22-2-2-222-122-2-11-2221-12-2-2-221-1-22-2-21-12-1-1112-2-2-1111-1-1-22211-11-2-10000-1-11111-1-100000000−i3i300i3−i300−333−30000000000000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−32i−2i−2i2i000000000000−iii−i0000
χ3922-22-2-2-222-122-2-11-2221-12-2-2-221-1-22-2-21-12-1-1112-2-2-1111-1-1-22211-11-2-10000-1-11111-1-100000000i3−i300−i3i3003−3−330000000000000000i3i3−i3−i3−i3−i3i3i333−3−3−3−3332i−2i−2i2i000000000000−iii−i0000
χ4022-22-2-2-222-122-2-11-2221-12-2-2-221-1-22-2-21-12-1-1112-2-2-1111-1-1-22211-11-2-10000-1-11111-1-100000000i3−i300−i3i300−333−30000000000000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3−2i2i2i−2i000000000000i−i−ii0000
χ4122-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2112i2i−2i−2i-1-1-1-111112i−2i00−i−iii2i2i−i−i−2i−2iii00002i2i−2i−2i0000−i−i−i−iiiii−i−i−i−iiiii0000000000002-200-1-111000000000000
χ4222-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2112i2i−2i−2i-1-1-1-11111−2i2i00−i−iii−2i−2iii2i2i−i−i00002i2i−2i−2i0000−i−i−i−iiiiiiiii−i−i−i−i000000000000-220011-1-1000000000000
χ4322-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-211−2i−2i2i2i-1-1-1-111112i−2i00ii−i−i2i2i−i−i−2i−2iii0000−2i−2i2i2i0000iiii−i−i−i−i−i−i−i−iiiii000000000000-220011-1-1000000000000
χ4422-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-211−2i−2i2i2i-1-1-1-11111−2i2i00ii−i−i−2i−2iii2i2i−i−i0000−2i−2i2i2i0000iiii−i−i−i−iiiii−i−i−i−i0000000000002-200-1-111000000000000
χ4522-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-111112i−2i2i−2i0000−i−i2i2iii−2i−2i−i−iii00002i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii22-2-2000000000000-1-1110000
χ4622-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-111112i−2i−2i2i0000−i−i2i2iii−2i−2iii−i−i0000−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i-2-22200000000000011-1-10000
χ4722-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-11111−2i2i2i−2i0000ii−2i−2i−i−i2i2i−i−iii00002i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii-2-22200000000000011-1-10000
χ4822-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-11111−2i2i−2i2i0000ii−2i−2i−i−i2i2iii−i−i0000−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i22-2-2000000000000-1-1110000
χ4922-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-11111002i−2i2i2i−2i−2i000000002i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii00000000−i−i−i−iiiii0000002-20000-1-11100000000
χ5022-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-1111100−2i2i2i2i−2i−2i00000000−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiii00000000iiii−i−i−i−i000000-22000011-1-100000000
χ5122-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-11111002i−2i−2i−2i2i2i000000002i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i00000000−i−i−i−iiiii000000-22000011-1-100000000
χ5222-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-1111100−2i2i−2i−2i2i2i00000000−2i−2i2i2iii−i−iii−i−iiiii−i−i−i−i00000000iiii−i−i−i−i0000002-20000-1-11100000000
χ532-222-22-2-2222-22-2-222-22-2-22-22-2-22-22-2-22222-22-2-22-2-22-222-222-22-2-2-2-2200002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ542-222-22-2-2222-22-2-222-22-2-22-22-2-22-22-2-22222-22-2-22-2-22-222-222-22-2-2-2-2200002-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ552-22-2-2-222222-2-2-222-2222-2-2222-2-2-2-2-22-2222-2-22-2-22-2-222-222-222-22-2-2-22i−2i2i−2i2-2-222-2-2200002i−2i2i−2i0000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ562-22-2-2-222222-2-2-222-2222-2-2222-2-2-2-2-22-2222-2-22-2-22-2-222-222-222-22-2-2-2−2i2i−2i2i2-2-222-2-220000−2i2i−2i2i000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
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χ1364-4-4-444-44-2-242-22222-22-2-44-4-44-224-4-22-21-2-2-11-12-222-22-1-1122-22-2-21-2200001-11-1-11-1100000000000000000000000000000000000000000000-333-33-3-33000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ138888-88-8-8-8-4-4-4-44-44-444-44-444-44-44-44-4442222-2-22-2-22-2-22-2-22-2-222-222-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-8-8-88-4-4-4-44-444-4-44-4-4444-44-44-44442222-2-22-2-22-2-2-222-222-2-22-2-220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-888-8-4-4-4-4-4-4-444444-4-4-44444444-4-4222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-44-444-4-44-444-44-444-44-444-4222-22-2-22-2-22-222-222-22-2-2-2-220000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-8-888-4-4-4444-4-44-4-4-444-4-4-444444-44222-2-22-2-22-2-222-222-222-22-2-2-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-8-4-4-4444-44-444444-444-4-4-4-4-4-44222-2-22-2-22-2-22-22-2-22-2-22-22220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-888-88-4-4-44-44444-44-44-444-4-44-44-44-4222-22-2-22-2-22-2-2-22-2-22-22222-20000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

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