Finite Group Databasebeta

← Group #13156838

Character table — Group #13156838

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666663666666644444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ911-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-11-1i−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−ii−i
χ1011-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-11-1−ii11-1-111-1-1−i−iii11-1-111-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−ii
χ1111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-11i−i11-1-1-1-111ii−i−i11-1-1-1-111ii−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii−ii
χ1211-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-11−ii11-1-1-1-111−i−iii11-1-1-1-111−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−i-1-111−i−iiiii−i−ii−i
χ1311-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1i−i-1-11111-1-1ii−i−i-1-11111-1-1ii−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i−ii
χ1411-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1−ii-1-11111-1-1−i−iii-1-11111-1-1−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iiii−i
χ1511-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11-11i−i-1-111-1-111ii−i−i-1-111-1-111ii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iii11-1-1−i−iii−i−iiii−i
χ1611-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11-11−ii-1-111-1-111−i−iii-1-111-1-111−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i−ii
χ172222222222-12222-122222-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1222200222222220000-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ182222222222-12222-122222-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-2-2002222-2-2-2-20000-1-1-1-111110000-1-1-1-1-1-1-1-11111111100000000-2-2-2-20000000011110000000000
χ192222222222-12222-122222-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-22200-2-2-2-2222200001111-1-1-1-1000011111111-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ202222222222-12222-122222-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-20000111111110000111111111111111100000000222200000000-1-1-1-10000000000
χ21222222222-1222-1-12222-1-122222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1220022-1-1-1-10000-1-1-1-1222200002222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ22222222222-1222-1-12222-1-122222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-12200-2-2-1-1-1-10000111122220000-2-2-2-2-1-1-1-1-1-1-1-100000000111111110000-2-2-2-2000000001111000000
χ23222222222-1222-1-12222-1-122222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2002211110000-1-1-1-1-2-2-2-2000022221111111100000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ24222222222-1222-1-12222-1-122222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-200-2-2111100001111-2-2-2-20000-2-2-2-21111111100000000111111110000222200000000-1-1-1-1000000
χ2522222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-10022220000-1-1-1-1222200002222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ2622222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-10022-2-20000-1-1-1-1-2-2-2-200002222111100000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ2722222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-100-2-2220000111122220000-2-2-2-2-1-1-1-10000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ2822222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-1-1-100-2-2-2-200001111-2-2-2-20000-2-2-2-2111100000000111111111111111100000000222200000000-1-1-1-100
χ29222-2-2-22-22222-22-2222-22-222-2-2-2-2-2-2-22-22222-2-22-22-222-222-2-222-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000002-22-2000000002-22-2000000
χ30222-2-2-22-22222-22-2222-22-222-2-2-2-2-2-2-22-22222-2-22-22-222-222-2-222-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000-22-2200000000-22-22000000
χ31222-2-2-22-22-122-2-11222-2-1122-2-2-211-2-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-1110000003−33−300003−33−300000000000033−3−333−3−30000000033−3−333−3−300002-22-200000000-11-11000000
χ32222-2-2-22-22-122-2-11222-2-1122-2-2-211-2-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-1110000003−33−30000−33−3300000000000033−3−333−3−300000000−3−333−3−3330000-22-22000000001-11-1000000
χ33222-2-2-22-22-122-2-11222-2-1122-2-2-211-2-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-111000000−33−3300003−33−3000000000000−3−333−3−3330000000033−3−333−3−30000-22-22000000001-11-1000000
χ34222-2-2-22-22-122-2-11222-2-1122-2-2-211-2-2-1-2-12-1-1112-2-11-1-1122-2-2-1-111-211-1-111-1-111000000−33−330000−33−33000000000000−3−333−3−33300000000−3−333−3−33300002-22-200000000-11-11000000
χ3522-22-2-2-222222-22-22-2-22-22-2-222-2-22-2-2-222222-2-22-22-2-2-22-2-222-2-222-2-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000
χ3622-22-2-2-222222-22-22-2-22-22-2-222-2-22-2-2-222222-2-22-22-2-2-22-2-222-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000
χ3722-22-2-2-222-122-2-112-2-221-1-2-222-21-1-2-212-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-10000003−3−330000−i3i3i3−i300000000000033−3−3−3−33300000000−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i00000000i−i−ii000000
χ3822-22-2-2-222-122-2-112-2-221-1-2-222-21-1-2-212-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-10000003−3−330000i3−i3−i3i300000000000033−3−3−3−33300000000i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i00000000−iii−i000000
χ3922-22-2-2-222-122-2-112-2-221-1-2-222-21-1-2-212-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-1000000−333−30000−i3i3i3−i3000000000000−3−33333−3−300000000−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i00000000−iii−i000000
χ4022-22-2-2-222-122-2-112-2-221-1-2-222-21-1-2-212-12-1-1112-2-1111-1-2-22211-1-1-21-1-1-11111-1-1000000−333−30000i3−i3−i3i3000000000000−3−33333−3−300000000i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i00000000i−i−ii000000
χ4122-2-222-2-222-12222-1-2-2-2-2-2111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-111112-22-20022-2-222-2-20000-1-111-1-1110000-1-1-1-11111-1-1-1-111110000000022-2-200000000-1-1110000000000
χ4222-2-222-2-222-12222-1-2-2-2-2-2111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-111112-2-220022-2-2-2-2220000-1-11111-1-10000-1-1-1-111111111-1-1-1-100000000-2-2220000000011-1-10000000000
χ4322-2-222-2-222-12222-1-2-2-2-2-2111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-11111-222-200-2-22222-2-2000011-1-1-1-11100001111-1-1-1-1-1-1-1-1111100000000-2-2220000000011-1-10000000000
χ4422-2-222-2-222-12222-1-2-2-2-2-2111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-1-1-1-11111-22-2200-2-222-2-222000011-1-111-1-100001111-1-1-1-11111-1-1-1-10000000022-2-200000000-1-1110000000000
χ4522-2-222-2-22-1222-1-12-2-2-211-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-111112-2002i−2i-1-1110000−i−iii22-2-200002i2i−2i−2i-1-1-1-1111100000000−i−i−i−iiiii00002i2i−2i−2i00000000−i−iii000000
χ4622-2-222-2-22-1222-1-12-2-2-211-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-111112-200−2i2i-1-1110000ii−i−i22-2-20000−2i−2i2i2i-1-1-1-1111100000000iiii−i−i−i−i0000−2i−2i2i2i00000000ii−i−i000000
χ4722-2-222-2-22-1222-1-12-2-2-211-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-11111-22002i−2i11-1-10000−i−iii-2-22200002i2i−2i−2i1111-1-1-1-100000000−i−i−i−iiiii0000−2i−2i2i2i00000000ii−i−i000000
χ4822-2-222-2-22-1222-1-12-2-2-211-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-1-1-1-11111-2200−2i2i11-1-10000ii−i−i-2-2220000−2i−2i2i2i1111-1-1-1-100000000iiii−i−i−i−i00002i2i−2i−2i00000000−i−iii000000
χ4922-2-222-2-2-122-1-1222111-2-2-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-11111002-22i−2i0000-1-1112i2i−2i−2i000022-2-2−i−iii00000000-1-1-1-11111−i−i−i−iiiii000000002i2i−2i−2i00000000−i−iii00
χ5022-2-222-2-2-122-1-1222111-2-2-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-11111002-2−2i2i0000-1-111−2i−2i2i2i000022-2-2ii−i−i00000000-1-1-1-11111iiii−i−i−i−i00000000−2i−2i2i2i00000000ii−i−i00
χ5122-2-222-2-2-122-1-1222111-2-2-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-1111100-222i−2i000011-1-12i2i−2i−2i0000-2-222−i−iii000000001111-1-1-1-1−i−i−i−iiiii00000000−2i−2i2i2i00000000ii−i−i00
χ5222-2-222-2-2-122-1-1222111-2-2-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121-1-1-1-1111100-22−2i2i000011-1-1−2i−2i2i2i0000-2-222ii−i−i000000001111-1-1-1-1iiii−i−i−i−i000000002i2i−2i−2i00000000−i−iii00
χ532-222-22-2-2222-22-22-22-22222-22-2-2-2-2-22-2-2222-22-2-22-222-222-22-22-22-2-2-2-22-22-22-22-20000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000000000
χ542-222-22-2-2222-22-22-22-22222-22-2-2-2-2-22-2-2222-22-2-22-222-222-22-22-22-2-2-2-22-22-22-22-2000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000000000
χ552-222-22-2-222-1-22-2212-2222-11-11-2-2-21-1-2-22-1-1-22-21-11-12-22-11-11-11-1111-2-11-11-11-110000000000000000003−33−33−33−300003−33−33−33−333−3−333−3−3000000002-22-200000000-11-110000000000
χ562-222-22-2-222-1-22-2212-2222-11-11-2-2-21-1-2-22-1-1-22-21-11-12-22-11-11-11-1111-2-11-11-11-110000000000000000003−33−3−33−3300003−33−33−33−3−3−333−3−33300000000-22-22000000001-11-10000000000
χ572-222-22-2-222-1-22-2212-2222-11-11-2-2-21-1-2-22-1-1-22-21-11-12-22-11-11-11-1111-2-11-11-11-11000000000000000000−33−333−33−30000−33−33−33−3333−3−333−3−300000000-22-22000000001-11-10000000000
χ582-222-22-2-222-1-22-2212-2222-11-11-2-2-21-1-2-22-1-1-22-21-11-12-22-11-11-11-1111-2-11-11-11-11000000000000000000−33−33−33−330000−33−33−33−33−3−333−3−333000000002-22-200000000-11-110000000000
χ592-22-22-2-22222-2-2-2-2-22-2-22-22-2-222222-2-22222-2-22-2-2-2-22-2-22-2-222-2-222222-2-222-2-22000000000000000000000000000000000000000000000000000000000000002-22-2000000002-22-200
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χ1448-8-8-8-8888-4-4-44-44-444-44444-44-444-44-4-4-4222-22-2-22-22-22-2-22-22-22-22-2-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000

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