Finite Group Databasebeta

← Group #13156792

Character table — Group #13156792

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666663666666644444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ911-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1i−i1-1i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1
χ1011-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1i−i1-1−iiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111−i−iiiii−i−i-1-111−i−iii-11
χ1111-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1i−i-11i−iiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii-11
χ1211-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1i−i-11−iiiiii−i−i−i−i-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i1-1
χ1311-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1−ii1-1i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i-11
χ1411-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1−ii1-1−ii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii1-1
χ1511-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1−ii-11i−i−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111−i−iiiii−i−i-1-111−i−iii1-1
χ1611-1-1-11-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1−ii-11−ii−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i-11
χ172222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122002222-1-122-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ182222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-1000000001111-2-2-2-2-1-1-1-1-1-1-1-100000000111111110000-2-2-2-2000000001111000000
χ192222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-21100000000-1-1-1-122221111111100000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ202222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-211000000001111-2-2-2-21111111100000000111111110000222200000000-1-1-1-1000000
χ21222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1222200-1-122-1-12222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ22222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-122-2-200-1-122-1-122-2-211-2-21100000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-20000000011110000000000
χ23222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-2220011-2-211-2-222-1-122-1-10000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ24222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-2-2-211-2-21100000000111111111111111100000000222200000000-1-1-1-10000000000
χ2522222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-100222200000000-1-122-1-1222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ2622222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-10022-2-200000000-1-122-1-122-2-2-2-2111100000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ2722222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-100-2-2220000000011-2-211-2-22222-1-1-1-10000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ2822222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-100-2-2-2-20000000011-2-211-2-2-2-2-2-2111100000000111111111111111100000000222200000000-1-1-1-100
χ29222-22-2-2-22222-22-22-222-22-222-2-2-2-2-2-22-22222-22-2-22-2-222-2-222-222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000000000
χ30222-22-2-2-22222-22-22-222-22-222-2-2-2-2-2-22-22222-22-2-22-2-222-2-222-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000000000
χ31222-22-2-2-22-122-2-112-222-2-1122-211-2-2-2-1-2-12-1-112-2-2-111-1-11122-2-1-111-21-1-111-1-1110000003−3003−300003−3003−30000000033−3−333−3−333−3−333−3−3000000002-22-200000000-11-110000000000
χ32222-22-2-2-22-122-2-112-222-2-1122-211-2-2-2-1-2-12-1-112-2-2-111-1-11122-2-1-111-21-1-111-1-1110000003−3003−30000−3300−330000000033−3−333−3−3−3−333−3−33300000000-22-22000000001-11-10000000000
χ33222-22-2-2-22-122-2-112-222-2-1122-211-2-2-2-1-2-12-1-112-2-2-111-1-11122-2-1-111-21-1-111-1-111000000−3300−3300003−3003−300000000−3−333−3−33333−3−333−3−300000000-22-22000000001-11-10000000000
χ34222-22-2-2-22-122-2-112-222-2-1122-211-2-2-2-1-2-12-1-112-2-2-111-1-11122-2-1-111-21-1-111-1-111000000−3300−330000−3300−3300000000−3−333−3−333−3−333−3−333000000002-22-200000000-11-110000000000
χ3522-22-2-22-22222-22-22-2-2-22-22-2-2-2-2222-2-222222-22-2-22-2-2-2-222-2-22-2-22-22222-2-2-2-2220000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000
χ3622-22-2-22-22222-22-22-2-2-22-22-2-2-2-2222-2-222222-22-2-22-2-2-2-222-2-22-2-22-22222-2-2-2-222000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000
χ3722-22-2-22-22-122-2-112-2-2-221-1-2-2-21-122-212-12-1-112-2-2-11111-1-1-2-2211-112-1-1-11111-1-1000000−i3i300i3−i300003−300−3300000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000−2i2i2i−2i00000000i−i−ii0000000000
χ3822-22-2-22-22-122-2-112-2-2-221-1-2-2-21-122-212-12-1-112-2-2-11111-1-1-2-2211-112-1-1-11111-1-1000000−i3i300i3−i30000−33003−300000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000002i−2i−2i2i00000000−iii−i0000000000
χ3922-22-2-22-22-122-2-112-2-2-221-1-2-2-21-122-212-12-1-112-2-2-11111-1-1-2-2211-112-1-1-11111-1-1000000i3−i300−i3i300003−300−3300000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333000000002i−2i−2i2i00000000−iii−i0000000000
χ4022-22-2-22-22-122-2-112-2-2-221-1-2-2-21-122-212-12-1-112-2-2-11111-1-1-2-2211-112-1-1-11111-1-1000000i3−i300−i3i30000−33003−300000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000−2i2i2i−2i00000000i−i−ii0000000000
χ4122-2-2-22-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211-1-1-1-111112i−2i002i−2i2i2i−i−i−2i−2iii00000000−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−i−i−i−iiiii000022-2-200000000-1-111000000
χ4222-2-2-22-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211-1-1-1-111112i−2i00−2i2i2i2i−i−i−2i−2iii00000000ii−i−i−2i−2i2i2i−i−i−i−iiiii00000000iiii−i−i−i−i0000-2-2220000000011-1-1000000
χ4322-2-2-22-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211-1-1-1-11111−2i2i002i−2i−2i−2iii2i2i−i−i00000000−i−iii2i2i−2i−2iiiii−i−i−i−i00000000−i−i−i−iiiii0000-2-2220000000011-1-1000000
χ4422-2-2-22-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211-1-1-1-11111−2i2i00−2i2i−2i−2iii2i2i−i−i00000000ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000iiii−i−i−i−i000022-2-200000000-1-111000000
χ4522-2-2-22-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21-1-1-1-111112i−2i2-200−i−i2i2iii−2i−2i22-1-1-2-21100000000−i−i−i−iiiii-1-1-1-11111000000002i2i−2i−2i00000000−i−iii0000000000
χ4622-2-2-22-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21-1-1-1-111112i−2i-2200−i−i2i2iii−2i−2i-2-21122-1-100000000−i−i−i−iiiii1111-1-1-1-100000000−2i−2i2i2i00000000ii−i−i0000000000
χ4722-2-2-22-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21-1-1-1-11111−2i2i2-200ii−2i−2i−i−i2i2i22-1-1-2-21100000000iiii−i−i−i−i-1-1-1-1111100000000−2i−2i2i2i00000000ii−i−i0000000000
χ4822-2-2-22-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21-1-1-1-11111−2i2i-2200ii−2i−2i−i−i2i2i-2-21122-1-100000000iiii−i−i−i−i1111-1-1-1-1000000002i2i−2i−2i00000000−i−iii0000000000
χ4922-2-2-22-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-2-1-1-1-11111002-22i−2i00000000-1-12211-2-22i2i−2i−2i−i−iii00000000-1-1-1-11111−i−i−i−iiiii000000002i2i−2i−2i00000000−i−iii00
χ5022-2-2-22-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-2-1-1-1-11111002-2−2i2i00000000-1-12211-2-2−2i−2i2i2iii−i−i00000000-1-1-1-11111iiii−i−i−i−i00000000−2i−2i2i2i00000000ii−i−i00
χ5122-2-2-22-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-2-1-1-1-1111100-222i−2i0000000011-2-2-1-1222i2i−2i−2i−i−iii000000001111-1-1-1-1−i−i−i−iiiii00000000−2i−2i2i2i00000000ii−i−i00
χ5222-2-2-22-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-2-1-1-1-1111100-22−2i2i0000000011-2-2-1-122−2i−2i2i2iii−i−i000000001111-1-1-1-1iiii−i−i−i−i000000002i2i−2i−2i00000000−i−iii00
χ532-222-22-2-2222-2-2-2-2-2-22-222-22-22222-22-2-2222-2-2-22-2-22-22-22-22-222-2-22-222-22-22-22-2000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00
χ542-222-22-2-2222-2-2-2-2-2-22-222-22-22222-22-2-2222-2-2-22-2-22-22-22-22-222-2-22-222-22-22-22-200000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00
χ552-222-22-2-2-12211-2-2-2-2-11-12-22-2-1222-22-21-1-12111-11-22-2-11-11-11-12-2-2-112-11-11-11-1100000000000000−i3i300−i3i30000003−33−300000000−i3i3−i3i3−i3i3−i3i333−3−333−3−3000000002i−2i2i−2i00000000−ii−ii00
χ562-222-22-2-2-12211-2-2-2-2-11-12-22-2-1222-22-21-1-12111-11-22-2-11-11-11-12-2-2-112-11-11-11-1100000000000000−i3i300−i3i3000000−33−3300000000−i3i3−i3i3−i3i3−i3i3−3−333−3−33300000000−2i2i−2i2i00000000i−ii−i00
χ572-222-22-2-2-12211-2-2-2-2-11-12-22-2-1222-22-21-1-12111-11-22-2-11-11-11-12-2-2-112-11-11-11-1100000000000000i3−i300i3−i30000003−33−300000000i3−i3i3−i3i3−i3i3−i333−3−333−3−300000000−2i2i−2i2i00000000i−ii−i00
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χ138888-88-8-8-8-4-4-4-44-44-44-4-44-44-4-4444444-442222-22-2-22-2-222-2-222-222-2-2-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-8-88-8-4-4-4-44-44-4444-44-44444-4-4-444-42222-22-2-22-2-2-2-222-2-22-2-22-222-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-88-88-4-4-4-4-4-4-4-4-44444444-4-4444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-4444444-44-4-44-44-4-4-4-44-444222-2-2-22-2-22-22-22-22-222-2-22-22-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-8-888-4-4-44-44-44-4-444-4-4-444444-444-4222-22-2-22-2-222-2-222-2-22-22-22-2-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-44-44-44-44-4-4444-444-4-444-44222-22-2-22-2-22-222-2-222-22-2-2-22-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-44444444-444-44-4-4-444-4-4-4-4222-2-2-22-2-22-2-22-22-22-2-22222-2-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000

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