Finite Group Databasebeta

← Group #13156823

Character table — Group #13156823

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
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
χ911-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−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
χ1011-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−i−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1-1-11111-1-1-1-111−i−iii
χ1111-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−iii−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1111-1-1-1-111-1-111−i−iii
χ1211-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−ii−iiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-11-1-111-1-11111-1-1ii−i−i
χ1311-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−ii−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−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
χ1411-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−i−ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1111-1-1-1-111-1-111ii−i−i
χ1511-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−iii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1-1-11111-1-1-1-111ii−i−i
χ1611-1-1-111-11111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-111-1-111-1-111-1-1−i−iii
χ172222222222-122222222-1-1-1-1-12222-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1002222-1-122-1-10000000022-1-122-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100002200-1-1-1-1000000000000
χ182222222222-122222222-1-1-1-1-12222-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-222-1-122-1-100000000-2-211-2-211-1-1-1-1-1-1-1-100000000111111110000-2-2001111000000000000
χ192222222222-122222222-1-1-1-1-12222-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-211-2-2110000000022-1-122-1-11111111100000000-1-1-1-1-1-1-1-10000-2-2001111000000000000
χ202222222222-122222222-1-1-1-1-12222-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-211-2-21100000000-2-211-2-21111111111000000001111111100002200-1-1-1-1000000000000
χ21222222222-1222-1-122-1-12222222-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122220000000022-1-122-1-1-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ22222222222-1222-1-122-1-12222222-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122-2-20000000022-1-122-1-111-2-211-2-200000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ23222222222-1222-1-122-1-12222222-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-22200000000-2-211-2-211-1-122-1-1220000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ24222222222-1222-1-122-1-12222222-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211-2-21111-2-211-2-20000000011111111111111112222000000000000-1-1-1-10000
χ2522222222-122-1-122-1-12222222-1-12222-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-12200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100000000
χ2622222222-122-1-122-1-12222222-1-12222-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-1-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100000000
χ2722222222-122-1-122-1-12222222-1-12222-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-100000000000000-2-20000111100000000
χ2822222222-122-1-122-1-12222222-1-12222-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-20011-2-211-2-211-2-211-2-200000000111111111111111100000000000000220000-1-1-1-100000000
χ29222-2-2-2-222222-22-2222-22-2-22-2-2-22-22-2-2-22222-2-22-2-22-2-222-222-22-2-2-2-22000022-2-222-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ30222-2-2-2-222222-22-2222-22-2-22-2-2-22-22-2-2-22222-2-22-2-22-2-222-222-22-2-2-2-22000022-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ31222-2-2-2-222-122-2-1122-112-2-22-2-2-2-112-2-21-12-1-1112-2-2-111-1-1122-2-1111-2-10000-1-111-1-111000000000000003−3003−3−i3i300−i3i3000000000033−3−333−3−3−i3−i3i3i3−i3−i3i3i32i−2i2i−2i000000000000−ii−ii0000
χ32222-2-2-2-222-122-2-1122-112-2-22-2-2-2-112-2-21-12-1-1112-2-2-111-1-1122-2-1111-2-10000-1-111-1-111000000000000003−3003−3i3−i300i3−i3000000000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i000000000000i−ii−i0000
χ33222-2-2-2-222-122-2-1122-112-2-22-2-2-2-112-2-21-12-1-1112-2-2-111-1-1122-2-1111-2-10000-1-111-1-11100000000000000−3300−33−i3i300−i3i30000000000−3−333−3−333−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i000000000000i−ii−i0000
χ34222-2-2-2-222-122-2-1122-112-2-22-2-2-2-112-2-21-12-1-1112-2-2-111-1-1122-2-1111-2-10000-1-111-1-11100000000000000−3300−33i3−i300i3−i30000000000−3−333−3−333i3i3−i3−i3i3i3−i3−i32i−2i2i−2i000000000000−ii−ii0000
χ3522-222-2-2-22222-22-2-2-2-222-2-2-2222-22-22-2-22222-2-22-2-22-2-2-2-22-2-22-22222-2000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000
χ3622-222-2-2-22222-22-2-2-2-222-2-2-2222-22-22-2-22222-2-22-2-22-2-2-2-22-2-22-22222-2000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000
χ3722-222-2-2-22-122-2-11-2-21-12-2-2-22221-1-22-21-12-1-1112-2-2-11111-1-2-221-1-1-1210000-1-11111-1-100000000000000−i3i300i3−i33−300−330000000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333−2i2i2i−2i000000000000i−i−ii0000
χ3822-222-2-2-22-122-2-11-2-21-12-2-2-22221-1-22-21-12-1-1112-2-2-11111-1-2-221-1-1-1210000-1-11111-1-100000000000000−i3i300i3−i3−33003−30000000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−32i−2i−2i2i000000000000−iii−i0000
χ3922-222-2-2-22-122-2-11-2-21-12-2-2-22221-1-22-21-12-1-1112-2-2-11111-1-2-221-1-1-1210000-1-11111-1-100000000000000i3−i300−i3i33−300−330000000000i3i3−i3−i3−i3−i3i3i333−3−3−3−3332i−2i−2i2i000000000000−iii−i0000
χ4022-222-2-2-22-122-2-11-2-21-12-2-2-22221-1-22-21-12-1-1112-2-2-11111-1-2-221-1-1-1210000-1-11111-1-100000000000000i3−i300−i3i3−33003−30000000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3−2i2i2i−2i000000000000i−i−ii0000
χ4122-2-2-222-222-12222-2-2-2-2-1-1-111-2-2-2-211222-1-1222-1-1-1-1-1-1-2-2-2111111-2112i2i−2i−2i-1-1-1-11111002i−2i2i2i−i−i−2i−2iii000000002i2i−i−i−2i−2iii−i−i−i−iiiii00000000−i−i−i−iiiii00002-200-1-111000000000000
χ4222-2-2-222-222-12222-2-2-2-2-1-1-111-2-2-2-211222-1-1222-1-1-1-1-1-1-2-2-2111111-2112i2i−2i−2i-1-1-1-1111100−2i2i2i2i−i−i−2i−2iii00000000−2i−2iii2i2i−i−i−i−i−i−iiiii00000000iiii−i−i−i−i0000-220011-1-1000000000000
χ4322-2-2-222-222-12222-2-2-2-2-1-1-111-2-2-2-211222-1-1222-1-1-1-1-1-1-2-2-2111111-211−2i−2i2i2i-1-1-1-11111002i−2i−2i−2iii2i2i−i−i000000002i2i−i−i−2i−2iiiiiii−i−i−i−i00000000−i−i−i−iiiii0000-220011-1-1000000000000
χ4422-2-2-222-222-12222-2-2-2-2-1-1-111-2-2-2-211222-1-1222-1-1-1-1-1-1-2-2-2111111-211−2i−2i2i2i-1-1-1-1111100−2i2i−2i−2iii2i2i−i−i00000000−2i−2iii2i2i−i−iiiii−i−i−i−i00000000iiii−i−i−i−i00002-200-1-111000000000000
χ4522-2-2-222-22-1222-1-1-2-211222-2-2-2-211-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-111112i−2i2i−2i000000002i2i−i−i−2i−2iii−i−i2i2iii−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii22-2-2000000000000-1-1110000
χ4622-2-2-222-22-1222-1-1-2-211222-2-2-2-211-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-111112i−2i−2i2i000000002i2i−i−i−2i−2iiiii−2i−2i−i−i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i-2-22200000000000011-1-10000
χ4722-2-2-222-22-1222-1-1-2-211222-2-2-2-211-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-11111−2i2i2i−2i00000000−2i−2iii2i2i−i−i−i−i2i2iii−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii-2-22200000000000011-1-10000
χ4822-2-2-222-22-1222-1-1-2-211222-2-2-2-211-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-210000-1-1-1-11111−2i2i−2i2i00000000−2i−2iii2i2i−i−iii−2i−2i−i−i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i22-2-2000000000000-1-1110000
χ4922-2-2-222-2-122-1-12211-2-2222-2-211-2-2-2-2-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-111112i−2i00−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii000000000000002-20000-1-11100000000
χ5022-2-2-222-2-122-1-12211-2-2222-2-211-2-2-2-2-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-11111−2i2i00−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000000000-22000011-1-100000000
χ5122-2-2-222-2-122-1-12211-2-2222-2-211-2-2-2-2-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-111112i−2i00ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000000000-22000011-1-100000000
χ5222-2-2-222-2-122-1-12211-2-2222-2-211-2-2-2-2-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-11111−2i2i00ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i000000000000002-20000-1-11100000000
χ532-222-22-2-2222-22-2-22-22-2-22-2222-2-22-2-2-22222-22-2-22-2-22-22-2-22-2222-22-2-22i−2i2i−2i2-22-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ542-222-22-2-2222-22-2-22-22-2-22-2222-2-22-2-2-22222-22-2-22-2-22-22-2-22-2222-22-2-2−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ552-222-22-2-222-1-22-2-22-22-21-11-1-12-2-2211-222-1-1-22-21-111-112-2-2-11-1-1-112112i−2i2i−2i-11-11-11-1100002i−2i−ii2i−2i−ii00000000003−3003−3−i−iii−i−iii000000003−33−33−33−300000000−i3i3−i3i3000000000000
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χ1364-4-4-444-44-2-242-2222-22-2-44-4-4-42-2-22442-21-2-2-11-12-222-22-1112-2222-2-1-2-200001-11-1-11-11000000000000−23230023−230000000000000000003−33−3−33−3300000000000000000000000000000000
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
χ138888-8-8-8-88-4-4-4-44-44-4-4-44-444-4444-44-44442222-2-22-2-22-2-222-222-22-2-2-2-220000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-888-8-8-8-4-4-4-44-44444-4-4444-4-4-44-44-4442222-2-22-2-22-2-2-2-22-2-22-22222-20000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-888-8-4-4-4-4-4-4-44444-4-4-444444444-4-4222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-44-444-44-444-44-4-4-444-4444-4222-22-2-22-2-22-22-2-22-2222-22-2-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-88-8-4-4-4444-4-44-4-444-4-444-4444-4-44222-2-22-2-22-2-222-222-2-22-22-22-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-888-4-4-4444-44-44444-44-4-44-4-4-44-44222-2-22-2-22-2-22-22-2-222-22-22-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-888-88-4-4-44-4444-44-44-44444-4-44-4-44-4222-22-2-22-2-22-2-222-22-2-2-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

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