Finite Group Databasebeta

← Group #13156781

Character table — Group #13156781

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666663666666644444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
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
χ911-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1i−i1-11-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1i−i
χ1011-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1i−i1-1-11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii-1-111ii−i−iii−i−i−i−iii-1-111−ii
χ1111-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1i−i-111-1iiii−i−i−i−i-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i-1-111−i−iii−i−iiiii−i−i-1-111−ii
χ1211-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1i−i-11-11iiii−i−i−i−i-1-1-1-11111-1-111-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii11-1-1−i−iii−i−iii−i−iii11-1-1i−i
χ1311-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1−ii1-11-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii11-1-1−i−iii−i−iii−i−iii11-1-1−ii
χ1411-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1−ii1-1-11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i-1-111−i−iii−i−iiiii−i−i-1-111i−i
χ1511-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1−ii-111-1−i−i−i−iiiii-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iii-1-111ii−i−iii−i−i−i−iii-1-111i−i
χ1611-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1−ii-11-11−i−i−i−iiiii-1-1-1-11111-1-111-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1−ii
χ172222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10022220000000022-1-122-1-12222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-100
χ182222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10022-2-20000000022-1-122-1-1-2-2-2-2111100000000-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000111100
χ192222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-22200000000-2-211-2-2112222-1-1-1-10000000011111111-1-1-1-1-1-1-1-10000-2-2-2-2000000000000111100
χ202222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-2-2-200000000-2-211-2-211-2-2-2-2111100000000111111111111111100002222000000000000-1-1-1-100
χ21222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-122002222-1-122-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
χ22222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-1000000001111-2-2-2-2-1-1-1-1-1-1-1-10000000011111111-2-2-2-20000000000001111000000
χ23222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-21100000000-1-1-1-122221111111100000000-1-1-1-1-1-1-1-1-2-2-2-20000000000001111000000
χ24222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-211000000001111-2-2-2-21111111100000000111111112222000000000000-1-1-1-1000000
χ2522222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-1222200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-10000000000
χ2622222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-122-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-1111111110000000000000000-2-2-2-211110000000000
χ2722222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-1-2-2220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-10000000000000000-2-2-2-211110000000000
χ2822222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-211-2-211-2-200000000111111111111111100000000000000002222-1-1-1-10000000000
χ29222-2-22-2-22222-22-22222-222-2-2-2-2-2-2-2-22-22222-2-22-22-222-222-2-222-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000002-22-20000000000002-22-2000000
χ30222-2-22-2-22222-22-22222-222-2-2-2-2-2-2-2-22-22222-2-22-22-222-222-2-222-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000-22-22000000000000-22-22000000
χ31222-2-22-2-22-122-2-11222-1122-2-2-21-2-21-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-111000000003−3003−3000000003−33−3000033−3−333−3−30000000033−3−333−3−32-22-2000000000000-11-11000000
χ32222-2-22-2-22-122-2-11222-1122-2-2-21-2-21-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-111000000003−3003−300000000−33−33000033−3−333−3−300000000−3−333−3−333-22-220000000000001-11-1000000
χ33222-2-22-2-22-122-2-11222-1122-2-2-21-2-21-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-11100000000−3300−33000000003−33−30000−3−333−3−3330000000033−3−333−3−3-22-220000000000001-11-1000000
χ34222-2-22-2-22-122-2-11222-1122-2-2-21-2-21-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-11100000000−3300−3300000000−33−330000−3−333−3−33300000000−3−333−3−3332-22-2000000000000-11-11000000
χ3522-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-11111002-22-20000000022-1-1-2-21122-2-2-1-11100000000-1-1-1-11111-1-1-1-11111000022-2-2000000000000-1-11100
χ3622-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-11111002-2-220000000022-1-1-2-211-2-22211-1-100000000-1-1-1-111111111-1-1-1-10000-2-22200000000000011-1-100
χ3722-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-1111100-222-200000000-2-21122-1-122-2-2-1-111000000001111-1-1-1-1-1-1-1-111110000-2-22200000000000011-1-100
χ3822-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-1111100-22-2200000000-2-21122-1-1-2-22211-1-1000000001111-1-1-1-11111-1-1-1-1000022-2-2000000000000-1-11100
χ3922-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-111112i−2i002-22i2i−i−i−2i−2iii00000000-1-11122-2-2−i−i−i−iiiii00000000-1-1-1-111112i2i−2i−2i000000000000−i−iii000000
χ4022-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-111112i−2i00-222i2i−i−i−2i−2iii0000000011-1-1-2-222−i−i−i−iiiii000000001111-1-1-1-1−2i−2i2i2i000000000000ii−i−i000000
χ4122-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-11111−2i2i002-2−2i−2iii2i2i−i−i00000000-1-11122-2-2iiii−i−i−i−i00000000-1-1-1-11111−2i−2i2i2i000000000000ii−i−i000000
χ4222-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-11111−2i2i00-22−2i−2iii2i2i−i−i0000000011-1-1-2-222iiii−i−i−i−i000000001111-1-1-1-12i2i−2i−2i000000000000−i−iii000000
χ4322-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-111112i−2i2-200−i−i2i2iii−2i−2i-1-12211-2-200000000−i−i−i−iiiii-1-1-1-1111100000000000000002i2i−2i−2i−i−iii0000000000
χ4422-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-111112i−2i-2200−i−i2i2iii−2i−2i11-2-2-1-12200000000−i−i−i−iiiii1111-1-1-1-10000000000000000−2i−2i2i2iii−i−i0000000000
χ4522-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-11111−2i2i2-200ii−2i−2i−i−i2i2i-1-12211-2-200000000iiii−i−i−i−i-1-1-1-111110000000000000000−2i−2i2i2iii−i−i0000000000
χ4622-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-11111−2i2i-2200ii−2i−2i−i−i2i2i11-2-2-1-12200000000iiii−i−i−i−i1111-1-1-1-100000000000000002i2i−2i−2i−i−iii0000000000
χ4722-2-22-2-222222-22-22-2-2-22-2-222-2-2-2222-2-22222-2-22-22-2-2-22-2-222-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000
χ4822-2-22-2-222222-22-22-2-2-22-2-222-2-2-2222-2-22222-2-22-22-2-2-22-2-222-2-222-2-2222-2-2-2-222000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000
χ4922-2-22-2-222-122-2-112-2-21-1-2-222-21-22-121-2-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-100000000−i3i300i3−i3000000003−3−330000−i3−i3i3i3i3i3−i3−i30000000033−3−3−3−333−2i2i2i−2i000000000000i−i−ii000000
χ5022-2-22-2-222-122-2-112-2-21-1-2-222-21-22-121-2-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-100000000−i3i300i3−i300000000−333−30000−i3−i3i3i3i3i3−i3−i300000000−3−33333−3−32i−2i−2i2i000000000000−iii−i000000
χ5122-2-22-2-222-122-2-112-2-21-1-2-222-21-22-121-2-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-100000000i3−i300−i3i3000000003−3−330000i3i3−i3−i3−i3−i3i3i30000000033−3−3−3−3332i−2i−2i2i000000000000−iii−i000000
χ5222-2-22-2-222-122-2-112-2-21-1-2-222-21-22-121-2-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-100000000i3−i300−i3i300000000−333−30000i3i3−i3−i3−i3−i3i3i300000000−3−33333−3−3−2i2i2i−2i000000000000i−i−ii000000
χ532-222-2-2-22222-2-2-22-22-2222-22-22-22-2-22-2-2222-22-2-2-2-222-222-22-22-22-22-2-22-22-22-22-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00
χ542-222-2-2-22222-2-2-22-22-2222-22-22-22-2-22-2-2222-22-2-2-2-222-222-22-22-22-22-2-22-22-22-22-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00
χ552-222-2-2-2222-1-2-2-2212-222-11-112-2-1-2-22-212-1-1-22-2111-12-22-11-11-11-11-11-2-11-11-11-110000000000000000−i3i300−i3i300003−33−300000000−i3−i3i3i3−i3−i3i3i33−33−33−33−300002i−2i2i−2i000000000000−ii−ii00
χ562-222-2-2-2222-1-2-2-2212-222-11-112-2-1-2-22-212-1-1-22-2111-12-22-11-11-11-11-11-2-11-11-11-110000000000000000−i3i300−i3i30000−33−3300000000−i3−i3i3i3−i3−i3i3i3−33−33−33−330000−2i2i−2i2i000000000000i−ii−i00
χ572-222-2-2-2222-1-2-2-2212-222-11-112-2-1-2-22-212-1-1-22-2111-12-22-11-11-11-11-11-2-11-11-11-110000000000000000i3−i300i3−i300003−33−300000000i3i3−i3−i3i3i3−i3−i33−33−33−33−30000−2i2i−2i2i000000000000i−ii−i00
χ582-222-2-2-2222-1-2-2-2212-222-11-112-2-1-2-22-212-1-1-22-2111-12-22-11-11-11-11-11-2-11-11-11-110000000000000000i3−i300i3−i30000−33−3300000000i3i3−i3−i3i3i3−i3−i3−33−33−33−3300002i−2i2i−2i000000000000−ii−ii00
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χ1438-8-8888-8-8-4-4-4444-444-4444-44-4-44-4-4-44-44222-22-2-2-2-22-22-2-22-22-22-222-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-44-44444-44-44-4-444-4444-4-4-4222-2-22-22-2-2-222-222-2-222-2-22-2-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000

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