Finite Group Databasebeta

← Group #13156744

Character table — Group #13156744

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
χ172222222222-12222-1-1222222-1-1-122-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022220000000022-1-122-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ182222222222-12222-1-1222222-1-1-122-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022-2-20000000022-1-122-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ192222222222-12222-1-1222222-1-1-122-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-22200000000-2-211-2-21122-1-122-1-10000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ202222222222-12222-1-1222222-1-1-122-122-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-211-2-211-2-211-2-21100000000111111111111111100000000222200000000-1-1-1-100
χ21222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-122002222-1-122-1-100000000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ22222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-10000000011-2-211-2-2-1-1-1-1-1-1-1-100000000111111110000-2-2-2-2000000001111000000
χ23222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-21100000000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ24222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-2110000000011-2-211-2-21111111100000000111111110000222200000000-1-1-1-1000000
χ2522222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1222200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ2622222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-122-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-20000000011110000000000
χ2722222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ2822222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-211-2-211-2-200000000111111111111111100000000222200000000-1-1-1-10000000000
χ29222-22-2-2-22222-22-2-2-222-222-222-2-2-2-2-2-222222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000002-22-2000000002-22-200
χ30222-22-2-2-22222-22-2-2-222-222-222-2-2-2-2-2-222222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000-22-2200000000-22-2200
χ31222-22-2-2-222-12-22-21122-222-2-1-11-2-21-2-2-12-1-12-2-2-111-11122-2-1-11-1-11-211-1-111-1-11100000000000000003−3003−3003−3003−30000000033−3−333−3−333−3−333−3−3000000002-22-200000000-11-1100
χ32222-22-2-2-222-12-22-21122-222-2-1-11-2-21-2-2-12-1-12-2-2-111-11122-2-1-11-1-11-211-1-111-1-11100000000000000003−3003−300−3300−330000000033−3−333−3−3−3−333−3−33300000000-22-22000000001-11-100
χ33222-22-2-2-222-12-22-21122-222-2-1-11-2-21-2-2-12-1-12-2-2-111-11122-2-1-11-1-11-211-1-111-1-1110000000000000000−3300−33003−3003−300000000−3−333−3−33333−3−333−3−300000000-22-22000000001-11-100
χ34222-22-2-2-222-12-22-21122-222-2-1-11-2-21-2-2-12-1-12-2-2-111-11122-2-1-11-1-11-211-1-111-1-1110000000000000000−3300−3300−3300−3300000000−3−333−3−333−3−333−3−333000000002-22-200000000-11-1100
χ3522-22-22-2-2222-22-2-22-22-222-222-22-2-2-2-22-2222-22-2-22-2-22-22-222-222-22-2-2-22-22-22-22-200000000000000000000000000000000000000000000000000000000002-22-2000000002-22-2000000
χ3622-22-22-2-2222-22-2-22-22-222-222-22-2-2-2-22-2222-22-2-22-2-22-22-222-222-22-2-2-22-22-22-22-20000000000000000000000000000000000000000000000000000000000-22-2200000000-22-22000000
χ3722-22-22-2-22-12-22112-22-22-11-12-22-21-2-2-1-2-12-11-11-22-21-11-11-12-22-11-11-21-11-11-11-11000000003−3003−3000000003−3003−30033−3−333−3−3000000003−33−33−33−300002-22-200000000-11-11000000
χ3822-22-22-2-22-12-22112-22-22-11-12-22-21-2-2-1-2-12-11-11-22-21-11-11-12-22-11-11-21-11-11-11-11000000003−3003−300000000−3300−330033−3−333−3−300000000−33−33−33−330000-22-22000000001-11-1000000
χ3922-22-22-2-22-12-22112-22-22-11-12-22-21-2-2-1-2-12-11-11-22-21-11-11-12-22-11-11-21-11-11-11-1100000000−3300−33000000003−3003−300−3−333−3−333000000003−33−33−33−30000-22-22000000001-11-1000000
χ4022-22-22-2-22-12-22112-22-22-11-12-22-21-2-2-1-2-12-11-11-22-21-11-11-12-22-11-11-21-11-11-11-1100000000−3300−3300000000−3300−3300−3−333−3−33300000000−33−33−33−3300002-22-200000000-11-11000000
χ4122-2-2-2-222222-2-2-22-222-2-22-2-22-2-22222-2-2222-2-22-2-22-2-222-2-22-2-22-2-22222-2-222-2-220000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000000000
χ4222-2-2-2-222222-2-2-22-222-2-22-2-22-2-22222-2-2222-2-22-2-22-2-222-2-22-2-22-2-22222-2-222-2-22000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000000000
χ4322-2-2-2-222-12211-22-22-1112-2-22-2-2-122-1-2-2-1-1211-111-1-2-22-111-1112-2-2-1-12-111-1-111-1000000−i3i300−i3i300−i3i300−i3i30000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000002-22-200000000-11-110000000000
χ4422-2-2-2-222-12211-22-22-1112-2-22-2-2-122-1-2-2-1-1211-111-1-2-22-111-1112-2-2-1-12-111-1-111-1000000−i3i300−i3i300i3−i300i3−i30000000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000-22-22000000001-11-10000000000
χ4522-2-2-2-222-12211-22-22-1112-2-22-2-2-122-1-2-2-1-1211-111-1-2-22-111-1112-2-2-1-12-111-1-111-1000000i3−i300i3−i300−i3i300−i3i30000000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000-22-22000000001-11-10000000000
χ4622-2-2-2-222-12211-22-22-1112-2-22-2-2-122-1-2-2-1-1211-111-1-2-22-111-1112-2-2-1-12-111-1-111-1000000i3−i300i3−i300i3−i300i3−i30000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000002-22-200000000-11-110000000000
χ472-222-2-22-2222-2-2-22-22-222-222-222-2-2-22-2-2222-2-22-2-22-2-22-222-222-222-2-2-22-2-22-222-20000000000000000000000000000000000000000000000000000002-2-22000000002-2-220000000000
χ482-222-2-22-2222-2-2-22-22-222-222-222-2-2-22-2-2222-2-22-2-22-2-22-222-222-222-2-2-22-2-22-222-2000000000000000000000000000000000000000000000000000000-222-200000000-222-20000000000
χ492-222-2-22-2-12211-22-221-1-1-222-2221-2-2-1-2-2-1-1211-111-1-2-221-1-11-1-1-22211-2-111-11-1-110000003−300−33003−300−3300000000003−33−3−33−333−33−3−33−33000000002-2-2200000000-111-10000000000
χ502-222-2-22-2-12211-22-221-1-1-222-2221-2-2-1-2-2-1-1211-111-1-2-221-1-11-1-1-22211-2-111-11-1-110000003−300−3300−33003−300000000003−33−3−33−33−33−333−33−300000000-222-2000000001-1-110000000000
χ512-222-2-22-2-12211-22-221-1-1-222-2221-2-2-1-2-2-1-1211-111-1-2-221-1-11-1-1-22211-2-111-11-1-11000000−33003−3003−300−330000000000−33−333−33−33−33−3−33−3300000000-222-2000000001-1-110000000000
χ522-222-2-22-2-12211-22-221-1-1-222-2221-2-2-1-2-2-1-1211-111-1-2-221-1-11-1-1-22211-2-111-11-1-11000000−33003−300−33003−30000000000−33−333−33−3−33−333−33−3000000002-2-2200000000-111-10000000000
χ532-22-2-22-22222-22-2-22-2-22-2-22-2-22-2222-22-2222-22-2-22-2-22-2-22-2-22-2-22-22222-22-2-22-2200000000000000000000000000000000000000000000000000000000002-2-22000000002-2-22000000
χ542-22-2-22-22222-22-2-22-2-22-2-22-2-22-2222-22-2222-22-2-22-2-22-2-22-2-22-2-22-22222-22-2-22-220000000000000000000000000000000000000000000000000000000000-222-200000000-222-2000000
χ552-22-2-22-222-12-22112-2-22-21-11-22-22-12-2-1-2-12-11-11-22-21-111-11-22-21-11-12-1-11-111-11-100000000−i3i300i3−i300000000−i3i300i3−i300−i3−i3i3i3i3i3−i3−i300000000−i3i3−i3i3i3−i3i3−i300002-2-2200000000-111-1000000
χ562-22-2-22-222-12-22112-2-22-21-11-22-22-12-2-1-2-12-11-11-22-21-111-11-22-21-11-12-1-11-111-11-100000000−i3i300i3−i300000000i3−i300−i3i300−i3−i3i3i3i3i3−i3−i300000000i3−i3i3−i3−i3i3−i3i30000-222-2000000001-1-11000000
χ572-22-2-22-222-12-22112-2-22-21-11-22-22-12-2-1-2-12-11-11-22-21-111-11-22-21-11-12-1-11-111-11-100000000i3−i300−i3i300000000−i3i300i3−i300i3i3−i3−i3−i3−i3i3i300000000−i3i3−i3i3i3−i3i3−i30000-222-2000000001-1-11000000
χ582-22-2-22-222-12-22112-2-22-21-11-22-22-12-2-1-2-12-11-11-22-21-111-11-22-21-11-12-1-11-111-11-100000000i3−i300−i3i300000000i3−i300−i3i300i3i3−i3−i3−i3−i3i3i300000000i3−i3i3−i3−i3i3−i3i300002-2-2200000000-111-1000000
χ592-2-222-2-222222-22-2-2-2-2-22-2-22-2-22222-2-222222-2-22-2-22-2-2-2-22-2-22-2-2222222-2-2-2-222000000000000000000000000000000000000000000000000000000000000002-2-22000000002-2-2200
χ602-2-222-2-222222-22-2-2-2-2-22-2-22-2-22222-2-222222-2-22-2-22-2-2-2-22-2-22-2-2222222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000-222-200000000-222-200
χ612-2-222-2-2222-12-22-211-2-22-2-2211-122-1-2-2-12-1-12-2-2-111-111-2-2211-111-12-1-1-1-11111-1-10000000000000000−i3i300i3−i300−i3i300i3−i300000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000002-2-2200000000-111-100
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χ14088-8-8-8-888-4-4-4444-44-4-444-444-444-4-4-4-444222-2-22-2-22-2-222-2-22-2-22-2-2222-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-88-8-4-4-4444-44-44-4-44-4-44-4-4444-444222-2-22-2-22-2-22-222-222-222-2-2-2-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-444-444-444-444-44-4-4-44-44222-22-2-22-2-22-2-22-2-22-2-22-2222-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-4-44-444444-444-444-4-4-4-444-42222-2-22-2-22-2-2-2-22-2-22-2-22222-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
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).