Finite Group Databasebeta

← Group #13156824

Character table — Group #13156824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order12222222333666666666666666666666333666666666666666666666366666662244446666666666666666121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
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
χ911-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1i−ii−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-11-1
χ1011-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1i−i−ii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111ii−i−iii−i−i−i−iii-1-111-11
χ1111-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1−iii−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111−i−iii−i−iiiii−i−i-1-111-11
χ1211-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1−ii−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−i−iii−i−iii−i−iii11-1-11-1
χ1311-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11i−ii−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii11-1-1−i−iii−i−iii−i−iii11-1-1-11
χ1411-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11i−i−ii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-111−i−iii−i−iiiii−i−i-1-1111-1
χ1511-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11−iii−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-111ii−i−iii−i−i−i−iii-1-1111-1
χ1611-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11−ii−ii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1-11
χ172222222222-12222222-1-1-122-1-1222-122-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-122002222-1-122-1-1-1-1-1-1-1-1-1-10000000022-1-122-1-100000000-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
χ182222222222-12222222-1-1-122-1-1222-122-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-1-1-1-1-1-1-1-1-100000000-2-211-2-2110000000011111111-2-2-2-20000000000001111000000
χ192222222222-12222222-1-1-122-1-1222-122-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-211111111110000000022-1-122-1-100000000-1-1-1-1-1-1-1-1-2-2-2-20000000000001111000000
χ202222222222-12222222-1-1-122-1-1222-122-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-2111111111100000000-2-211-2-21100000000111111112222000000000000-1-1-1-1000000
χ21222222222-122222-1-1-1222-1-12222-122-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1222200-1-122-1-122-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-1-1-1-1-100000000000000002222-1-1-1-10000000000
χ22222222222-122222-1-1-1222-1-12222-122-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-2-200-1-122-1-122-1-1-1-1-1-1-1-1-2-211-2-21100000000111111110000000000000000-2-2-2-211110000000000
χ23222222222-122222-1-1-1222-1-12222-122-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2220011-2-211-2-21111111122-1-122-1-100000000-1-1-1-1-1-1-1-10000000000000000-2-2-2-211110000000000
χ24222222222-122222-1-1-1222-1-12222-122-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-211111111-2-211-2-211000000001111111100000000000000002222-1-1-1-10000000000
χ2522222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10022220000000000000000-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-100
χ2622222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10022-2-20000000000000000-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000111100
χ2722222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100-2-222000000000000000011-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2-2000000000000111100
χ2822222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000000000011-2-211-2-211-2-211-2-2111111111111111100002222000000000000-1-1-1-100
χ29222-2-2-22-22222-22-22-2-22-2-22-22-22-2-22-22-22222-2-22-2-222-22-2-22-2-222-2-2-2222-2-222-2-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00
χ30222-2-2-22-22222-22-22-2-22-2-22-22-22-2-22-22-22222-2-22-2-222-22-2-22-2-222-2-2-2222-2-222-2-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00
χ31222-2-2-22-2-122-11-112-2-22-2-22-22-2-11-2212-2-1-12-111-111-1-11-1112-2-222-2-21-1-1-111-1-11100000000000000000000003−3003−300−i3i300−i3i30033−3−333−3−3−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii00
χ32222-2-2-22-2-122-11-112-2-22-2-22-22-2-11-2212-2-1-12-111-111-1-11-1112-2-222-2-21-1-1-111-1-11100000000000000000000003−3003−300i3−i300i3−i30033−3−333−3−3i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i00
χ33222-2-2-22-2-122-11-112-2-22-2-22-22-2-11-2212-2-1-12-111-111-1-11-1112-2-222-2-21-1-1-111-1-1110000000000000000000000−3300−3300−i3i300−i3i300−3−333−3−333−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i00
χ34222-2-2-22-2-122-11-112-2-22-2-22-22-2-11-2212-2-1-12-111-111-1-11-1112-2-222-2-21-1-1-111-1-1110000000000000000000000−3300−3300i3−i300i3−i300−3−333−3−333i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii00
χ3522-22-22-2-22222-2-222-2-22-2-2-22-22-222-2-2-222222-2-22-2-2-2-22-2222-2-2-2-2222-222-2-2-2-22200000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00
χ3622-22-22-2-22222-2-222-2-22-2-2-22-22-222-2-2-222222-2-22-2-2-2-22-2222-2-2-2-2222-222-2-2-2-2220000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00
χ3722-22-22-2-2-122-111-12-2-22-2-2-22-221-12-21-22-1-12-111-11111-11-1-12-2-2-2-222-11-1-11111-1-10000000000000000000000−i3i300i3−i3003−300−3300−i3−i3i3i3i3i3−i3−i333−3−3−3−3330000−2i2i2i−2i000000000000i−i−ii00
χ3822-22-22-2-2-122-111-12-2-22-2-2-22-221-12-21-22-1-12-111-11111-11-1-12-2-2-2-222-11-1-11111-1-10000000000000000000000−i3i300i3−i300−33003−300−i3−i3i3i3i3i3−i3−i3−3−33333−3−300002i−2i−2i2i000000000000−iii−i00
χ3922-22-22-2-2-122-111-12-2-22-2-2-22-221-12-21-22-1-12-111-11111-11-1-12-2-2-2-222-11-1-11111-1-10000000000000000000000i3−i300−i3i3003−300−3300i3i3−i3−i3−i3−i3i3i333−3−3−3−33300002i−2i−2i2i000000000000−iii−i00
χ4022-22-22-2-2-122-111-12-2-22-2-2-22-221-12-21-22-1-12-111-11111-11-1-12-2-2-2-222-11-1-11111-1-10000000000000000000000i3−i300−i3i300−33003−300i3i3−i3−i3−i3−i3i3i3−3−33333−3−30000−2i2i2i−2i000000000000i−i−ii00
χ4122-2-22-2-2222-122-2-2222-1-1-1-2-211-2-2-212-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-111112-2002i−2i22-1-1-2-211-1-1-1-11111000000002i2i−i−i−2i−2iii00000000−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii000000
χ4222-2-22-2-2222-122-2-2222-1-1-1-2-211-2-2-212-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-111112-200−2i2i22-1-1-2-211-1-1-1-1111100000000−2i−2iii2i2i−i−i00000000iiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i000000
χ4322-2-22-2-2222-122-2-2222-1-1-1-2-211-2-2-212-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-11111-22002i−2i-2-21122-1-11111-1-1-1-1000000002i2i−i−i−2i−2iii00000000−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i000000
χ4422-2-22-2-2222-122-2-2222-1-1-1-2-211-2-2-212-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-11111-2200−2i2i-2-21122-1-11111-1-1-1-100000000−2i−2iii2i2i−i−i00000000iiii−i−i−i−i2i2i−2i−2i000000000000−i−iii000000
χ4522-2-22-2-222-1222-2-2-1-1-122211-2-2-2-21-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-111112-22i−2i00-1-12211-2-2-1-1-1-111112i2i−i−i−2i−2iii00000000−i−i−i−iiiii00000000000000002i2i−2i−2i−i−iii0000000000
χ4622-2-22-2-222-1222-2-2-1-1-122211-2-2-2-21-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-111112-2−2i2i00-1-12211-2-2-1-1-1-11111−2i−2iii2i2i−i−i00000000iiii−i−i−i−i0000000000000000−2i−2i2i2iii−i−i0000000000
χ4722-2-22-2-222-1222-2-2-1-1-122211-2-2-2-21-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-11111-222i−2i0011-2-2-1-1221111-1-1-1-12i2i−i−i−2i−2iii00000000−i−i−i−iiiii0000000000000000−2i−2i2i2iii−i−i0000000000
χ4822-2-22-2-222-1222-2-2-1-1-122211-2-2-2-21-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-11111-22−2i2i0011-2-2-1-1221111-1-1-1-1−2i−2iii2i2i−i−i00000000iiii−i−i−i−i00000000000000002i2i−2i−2i−i−iii0000000000
χ4922-2-22-2-22-122-1-111222222-2-2-2-211-2-2-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-11111002i−2i2i−2i0000000000000000−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i−i−i−i−iiiii−i−i−i−iiiii000022-2-2000000000000-1-11100
χ5022-2-22-2-22-122-1-111222222-2-2-2-211-2-2-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-11111002i−2i−2i2i0000000000000000−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000-2-22200000000000011-1-100
χ5122-2-22-2-22-122-1-111222222-2-2-2-211-2-2-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-1111100−2i2i2i−2i0000000000000000ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000-2-22200000000000011-1-100
χ5222-2-22-2-22-122-1-111222222-2-2-2-211-2-2-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-1111100−2i2i−2i2i0000000000000000ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2iiiii−i−i−i−iiiii−i−i−i−i000022-2-2000000000000-1-11100
χ532-2222-2-2-2222-2-22-2-22-2-22-22-222-222-22-2-2222-22-2-22-22-2-222-2-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i000000
χ542-2222-2-2-2222-2-22-2-22-2-22-22-222-222-22-2-2222-22-2-22-22-2-222-2-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000
χ552-2222-2-2-222-1-2-22-2-22-21-112-2-1-1-22212-212-1-1-22-21-112-2-2-1-111-11-11-1121-11-11-11-1100000000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i300000000003−3003−3000000003−33−33−33−32i−2i2i−2i000000000000−ii−ii000000
χ562-2222-2-2-222-1-2-22-2-22-21-112-2-1-1-22212-212-1-1-22-21-112-2-2-1-111-11-11-1121-11-11-11-1100000000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i30000000000−3300−3300000000−33−33−33−33−2i2i−2i2i000000000000i−ii−i000000
χ572-2222-2-2-222-1-2-22-2-22-21-112-2-1-1-22212-212-1-1-22-21-112-2-2-1-111-11-11-1121-11-11-11-1100000000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i300000000003−3003−3000000003−33−33−33−3−2i2i−2i2i000000000000i−ii−i000000
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χ138888-8-8-88-8-4-4-4-44-44-444-444-44-44-444-44-442222-2-22-2-222-22-2-22-2-222-2-2-22-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-88-8-8-4-4-4-444-4-444-4444-44-44-4-4444-42222-2-22-2-2-2-22-2222-2-2-2-2222-2-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-8-88-4-4-4-4-444-4-4-4-4-4-444444444-444222222222-2-2-2-2-2-2222-2-2-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8888-8-8-8-4-4-444-444-444-44-44-4-44-4-44-444222-22-2-22-22-2-222-2-22-22-22-22-2-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-4-4-444-444-4-4-4-44444444-4222-2-22-2-222-222-22-2-222-2-22-2-2-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-888-4-4-44-44444-444-4444-4-4-4-4-44-44222-2-22-2-22-22-2-22-2-2-22-222-222-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-4444-44-444-444-444-444-4-4-4-4222-22-2-22-2-222-2-22-22-2-22-22-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000

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