Finite Group Databasebeta

← Group #13156740

Character table — Group #13156740

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
χ91-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−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−i11-1-111-1-111-1-111-1-111-1-111-1-1i−i
χ101-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−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−iiiii11-1-1-1-111-1-11111-1-1-1-111-1-111−ii
χ111-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−i−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-1-11111-1-1-1-111-1-11111-1-1-1-111−ii
χ121-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−i−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−iiiii-1-111-1-11111-1-1-1-111-1-11111-1-1i−i
χ131-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−iii−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−i-1-111-1-11111-1-1-1-111-1-11111-1-1−ii
χ141-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−iii−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-1-11111-1-1-1-111-1-11111-1-1-1-111i−i
χ151-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−ii−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−i11-1-1-1-111-1-11111-1-1-1-111-1-111i−i
χ161-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−ii−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−iiiii11-1-111-1-111-1-111-1-111-1-111-1-1−ii
χ172222222222-12222-1-12222-1-12222-1-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022220000000022-1-122-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ182222222222-12222-1-12222-1-12222-1-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022-2-20000000022-1-122-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ192222222222-12222-1-12222-1-12222-1-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-22200000000-2-211-2-21122-1-122-1-10000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ202222222222-12222-1-12222-1-12222-1-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-211-2-211-2-211-2-21100000000111111111111111100000000222200000000-1-1-1-100
χ21222222222-1222-1-12222-1-12222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-122002222-1-122-1-100000000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ22222222222-1222-1-12222-1-12222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-10000000011-2-211-2-2-1-1-1-1-1-1-1-100000000111111110000-2-2-2-2000000001111000000
χ23222222222-1222-1-12222-1-12222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-21100000000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ24222222222-1222-1-12222-1-12222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-2110000000011-2-211-2-21111111100000000111111110000222200000000-1-1-1-1000000
χ2522222222-122-1-12222-1-12222-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1222200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ2622222222-122-1-12222-1-12222-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-122-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-20000000011110000000000
χ2722222222-122-1-12222-1-12222-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ2822222222-122-1-12222-1-12222-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-211-2-211-2-200000000111111111111111100000000222200000000-1-1-1-10000000000
χ29222-22-2-2-22222-22-2-2-22-2-2-22-22-2222-2-2-222222-2-22-2-22-2-22-2-222-22-2-22-2222-2-222-2-20000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i0000000000
χ30222-22-2-2-22222-22-2-2-22-2-2-22-22-2222-2-2-222222-2-22-2-22-2-22-2-222-22-2-22-2222-2-222-2-2000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i0000000000
χ31222-22-2-2-2-122-112-2-2-2-11-2-22-2-11222-21-22-1-12-111-1112-2-2-111-1-112-2-2-112-1-111-1-111000000−i3i300−i3i3003−3003−30000000000−i3−i3i3i3−i3−i3i3i333−3−333−3−3000000002i−2i2i−2i00000000−ii−ii0000000000
χ32222-22-2-2-2-122-112-2-2-2-11-2-22-2-11222-21-22-1-12-111-1112-2-2-111-1-112-2-2-112-1-111-1-111000000−i3i300−i3i300−3300−330000000000−i3−i3i3i3−i3−i3i3i3−3−333−3−33300000000−2i2i−2i2i00000000i−ii−i0000000000
χ33222-22-2-2-2-122-112-2-2-2-11-2-22-2-11222-21-22-1-12-111-1112-2-2-111-1-112-2-2-112-1-111-1-111000000i3−i300i3−i3003−3003−30000000000i3i3−i3−i3i3i3−i3−i333−3−333−3−300000000−2i2i−2i2i00000000i−ii−i0000000000
χ34222-22-2-2-2-122-112-2-2-2-11-2-22-2-11222-21-22-1-12-111-1112-2-2-111-1-112-2-2-112-1-111-1-111000000i3−i300i3−i300−3300−330000000000i3i3−i3−i3i3i3−i3−i3−3−333−3−333000000002i−2i2i−2i00000000−ii−ii0000000000
χ3522-22-22-2-2222-22-2-22-2-2-22-22-2222-2-22-22-2222-22-2-22-2-22-2-22-22-2-222-222-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00
χ3622-22-22-2-2222-22-2-22-2-2-22-22-2222-2-22-22-2222-22-2-22-2-22-2-22-22-2-222-222-22-22-22-22-200000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00
χ3722-22-22-2-222-1-22-2-2-11-2-22-2-11222-21-1-2212-1-1-22-21-111-11-22-2-111-1-112-11-11-11-11-110000000000000000−i3i300−i3i3003−3003−300000000−i3i3−i3i3−i3i3−i3i333−3−333−3−3000000002i−2i2i−2i00000000−ii−ii00
χ3822-22-22-2-222-1-22-2-2-11-2-22-2-11222-21-1-2212-1-1-22-21-111-11-22-2-111-1-112-11-11-11-11-110000000000000000−i3i300−i3i300−3300−3300000000−i3i3−i3i3−i3i3−i3i3−3−333−3−33300000000−2i2i−2i2i00000000i−ii−i00
χ3922-22-22-2-222-1-22-2-2-11-2-22-2-11222-21-1-2212-1-1-22-21-111-11-22-2-111-1-112-11-11-11-11-110000000000000000i3−i300i3−i3003−3003−300000000i3−i3i3−i3i3−i3i3−i333−3−333−3−300000000−2i2i−2i2i00000000i−ii−i00
χ4022-22-22-2-222-1-22-2-2-11-2-22-2-11222-21-1-2212-1-1-22-21-111-11-22-2-111-1-112-11-11-11-11-110000000000000000i3−i300i3−i300−3300−3300000000i3−i3i3−i3i3−i3i3−i3−3−333−3−333000000002i−2i2i−2i00000000−ii−ii00
χ4122-2-2-2-222222-2-2-22-22-22-22222-22-2-2-22-2-2222-2-22-2-22-2-22-2-222-222-222-2-22-2-222-2-2200000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000
χ4222-2-2-2-222222-2-2-22-22-22-22222-22-2-2-22-2-2222-2-22-2-22-2-22-2-222-222-222-2-22-2-222-2-220000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000
χ4322-2-2-2-2222-12-2-21-1-22-221-1222-2-11-2-221-2-12-111-1-2-2211-111-12-22-11-1-1-21-111-1-111-100000000−i3i300−i3i3000000003−3003−300−i3i3−i3i3−i3i3−i3i3000000003−33−33−33−300002i−2i2i−2i00000000−ii−ii000000
χ4422-2-2-2-2222-12-2-21-1-22-221-1222-2-11-2-221-2-12-111-1-2-2211-111-12-22-11-1-1-21-111-1-111-100000000−i3i300−i3i300000000−3300−3300−i3i3−i3i3−i3i3−i3i300000000−33−33−33−330000−2i2i−2i2i00000000i−ii−i000000
χ4522-2-2-2-2222-12-2-21-1-22-221-1222-2-11-2-221-2-12-111-1-2-2211-111-12-22-11-1-1-21-111-1-111-100000000i3−i300i3−i3000000003−3003−300i3−i3i3−i3i3−i3i3−i3000000003−33−33−33−30000−2i2i−2i2i00000000i−ii−i000000
χ4622-2-2-2-2222-12-2-21-1-22-221-1222-2-11-2-221-2-12-111-1-2-2211-111-12-22-11-1-1-21-111-1-111-100000000i3−i300i3−i300000000−3300−3300i3−i3i3−i3i3−i3i3−i300000000−33−33−33−3300002i−2i2i−2i00000000−ii−ii000000
χ472-222-2-22-2222-2-2-22-222-22-2-2-2-22-22222-2-2222-2-22-2-22-2-2222-2-22-2-22-2-2222-2-22-222-200000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000
χ482-222-2-22-2222-2-2-22-222-22-2-2-2-22-22222-2-2222-2-22-2-22-2-2222-2-22-2-22-2-2222-2-22-222-20000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000
χ492-222-2-22-22-12-2-21-1-222-2-11-2-2-221-12221-2-12-111-1-2-2211-1-1-11-22-21-1112-1-111-11-1-11000000003−300−3300000000−i3i300i3−i3003−33−3−33−3300000000−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i00000000i−i−ii000000
χ502-222-2-22-22-12-2-21-1-222-2-11-2-2-221-12221-2-12-111-1-2-2211-1-1-11-22-21-1112-1-111-11-1-11000000003−300−3300000000i3−i300−i3i3003−33−3−33−3300000000i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i00000000−iii−i000000
χ512-222-2-22-22-12-2-21-1-222-2-11-2-2-221-12221-2-12-111-1-2-2211-1-1-11-22-21-1112-1-111-11-1-1100000000−33003−300000000−i3i300i3−i300−33−333−33−300000000−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i00000000−iii−i000000
χ522-222-2-22-22-12-2-21-1-222-2-11-2-2-221-12221-2-12-111-1-2-2211-1-1-11-22-21-1112-1-111-11-1-1100000000−33003−300000000i3−i300−i3i300−33−333−33−300000000i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i00000000i−i−ii000000
χ532-22-2-22-22222-22-2-22-222-22-22-2-2-222-2-22-2222-22-2-22-2-22-22-22-222-2-22-2-222-22-2-22-22000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00
χ542-22-2-22-22222-22-2-22-222-22-22-2-2-222-2-22-2222-22-2-22-2-22-22-22-222-2-22-2-222-22-2-22-2200000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00
χ552-22-2-22-2222-1-22-2-2-1122-221-1-2-2-22-11-2212-1-1-22-21-111-112-221-1-111-1-21-1-11-111-11-100000000000000003−300−3300−i3i300i3−i3000000003−33−3−33−33−i3−i3i3i3i3i3−i3−i300000000−2i2i2i−2i00000000i−i−ii00
χ562-22-2-22-2222-1-22-2-2-1122-221-1-2-2-22-11-2212-1-1-22-21-111-112-221-1-111-1-21-1-11-111-11-100000000000000003−300−3300i3−i300−i3i3000000003−33−3−33−33i3i3−i3−i3−i3−i3i3i3000000002i−2i−2i2i00000000−iii−i00
χ572-22-2-22-2222-1-22-2-2-1122-221-1-2-2-22-11-2212-1-1-22-21-111-112-221-1-111-1-21-1-11-111-11-10000000000000000−33003−300−i3i300i3−i300000000−33−333−33−3−i3−i3i3i3i3i3−i3−i3000000002i−2i−2i2i00000000−iii−i00
χ582-22-2-22-2222-1-22-2-2-1122-221-1-2-2-22-11-2212-1-1-22-21-111-112-221-1-111-1-21-1-11-111-11-10000000000000000−33003−300i3−i300−i3i300000000−33−333−33−3i3i3−i3−i3−i3−i3i3i300000000−2i2i2i−2i00000000i−i−ii00
χ592-2-222-2-222222-22-2-2-2-2222-22-22-2-2-22-2-222222-2-22-2-22-2-2-222-2-22-222-22-222-2-2-2-2220000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000
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χ138888-88-8-8-8-4-4-4-44-4444-4444-44-44-4-4-4444-42222-2-22-2-22-2-22-2-222-22-2-22-22-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-88-8-8-4-4-44-444-4444-44-44-4-4-444-44-44222-22-2-22-2-22-2-22-22-2-222-222-2-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-4444-44-44-44-4-4-4-44-4444-444222-2-22-2-22-2-22-2-222-222-222-2-2-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-88-8-4-4-4444-44-4-44-44444-44-4-4-4-444222-2-22-2-22-2-2222-2-22-2-22-2-222-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-444-44-4-44-44-4444-4-444-44222-22-2-22-2-22-22-22-222-2-22-2-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-4-44-44444-4-4-44-44-4444-444-42222-2-22-2-22-2-2-222-2-22-222-22-2-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-4-4-4-4-4-4-4444444444444-4-4-4222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000000000000000

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