Finite Group Databasebeta

← Group #13162052

Character table — Group #13162052

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order122222223336666666666666666666662233333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666444444444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1ii−i−iii−i−i-11−ii−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1−i−iii−i−iii-11i−ii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111ii−i−i−i−iii1-1i−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111−i−iiiii−i−i1-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222-1222222-12222-1-1-1-1-1-12222222-1-1-1-12222-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000220000-1-1-1-1-1-1-1-10000000000000000
χ182222222222-1222222-12222-1-1-1-1-1-12222222-1-1-1-12222-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111111110000000000000000
χ192222222222-1222222-12222-1-1-1-1-1-12222-2-22-1-1-1-1-2-2-2-211-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111222200000000-2-20000-1-1-1-111110000000000000000
χ202222222222-1222222-12222-1-1-1-1-1-12222-2-22-1-1-1-1-2-2-2-211-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111-2-2-2-2000000002200001111-1-1-1-10000000000000000
χ21222222222-12222-1-1-1222-1-122222222-1-122-12-1-1-122-1-12222-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022220022000000000000000000-1-1-1-1-1-1-1-1
χ22222222222-12222-1-1-1222-1-122222222-1-122-12-1-1-122-1-12222-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200-2-200000000000000000011111111
χ23222222222-12222-1-1-1222-1-122222222-1-1-2-2-12-1-1-1-2-211-2-2-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000222200-2-2000000000000000000-1-1-1-11111
χ24222222222-12222-1-1-1222-1-122222222-1-1-2-2-12-1-1-1-2-211-2-2-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000-2-2-2-200220000000000000000001111-1-1-1-1
χ2522222222-122-1-1-12222-1-122222222-1-12222-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222000000002200000000-1-1-1-1-1-1-1-100000000
χ2622222222-122-1-1-12222-1-122222222-1-12222-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000000001111111100000000
χ2722222222-122-1-1-12222-1-122222222-1-122-2-2-1-12-1-111-2-2-2-211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000222200000000-2-200000000-1-1-1-1111100000000
χ2822222222-122-1-1-12222-1-122222222-1-122-2-2-1-12-1-111-2-2-2-211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000-2-2-2-20000000022000000001111-1-1-1-100000000
χ29222-2-2-2-222222-2-22-2-222-22-222-2-2-2-22-22-200222220000000000002-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000000000000000
χ30222-2-2-2-222222-2-22-2-222-22-222-2-2-2-22-22-200222220000000000002-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000000000
χ31222-2-2-2-2222-12-2-22-2-2-12-22-2-1-111112-22-2002-1-1-1-10000−i3i30000−i3i32-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32i−2i2i−2i00000000000000−ii−ii3−33−30000000000000000
χ32222-2-2-2-2222-12-2-22-2-2-12-22-2-1-111112-22-2002-1-1-1-10000−i3i30000−i3i32-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−2i2i−2i2i00000000000000i−ii−i−33−330000000000000000
χ33222-2-2-2-2222-12-2-22-2-2-12-22-2-1-111112-22-2002-1-1-1-10000i3−i30000i3−i32-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32i−2i2i−2i00000000000000−ii−ii−33−330000000000000000
χ34222-2-2-2-2222-12-2-22-2-2-12-22-2-1-111112-22-2002-1-1-1-10000i3−i30000i3−i32-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i2i−2i2i00000000000000i−ii−i3−33−30000000000000000
χ3522-222-2-2-222-1222222-1-2-2-2-21111-1-1-2-2-2-22-22-1-1-1-12222-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-2000000002-20000-1-111-1-1110000000000000000
χ3622-222-2-2-222-1222222-1-2-2-2-21111-1-1-2-2-2-22-22-1-1-1-12222-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-22200000000-22000011-1-111-1-10000000000000000
χ3722-222-2-2-222-1222222-1-2-2-2-21111-1-1-2-2-2-2-222-1-1-1-1-2-2-2-2112222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-220000-1-11111-1-10000000000000000
χ3822-222-2-2-222-1222222-1-2-2-2-21111-1-1-2-2-2-2-222-1-1-1-1-2-2-2-2112222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-2000011-1-1-1-1110000000000000000
χ3922-222-2-2-22-12222-1-1-12-2-211-2-2-2-222-2-2112-2-12-1-1-122-1-122-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000002i2i−2i−2i002i−2i000000000000000000−i−iii−i−iii
χ4022-222-2-2-22-12222-1-1-12-2-211-2-2-2-222-2-2112-2-12-1-1-122-1-122-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000−2i−2i2i2i00−2i2i000000000000000000ii−i−iii−i−i
χ4122-222-2-2-22-12222-1-1-12-2-211-2-2-2-222-2-211-22-12-1-1-1-2-211-2-222-1-122-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002i2i−2i−2i00−2i2i000000000000000000−i−iiiii−i−i
χ4222-222-2-2-22-12222-1-1-12-2-211-2-2-2-222-2-211-22-12-1-1-1-2-211-2-222-1-122-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−2i−2i2i2i002i−2i000000000000000000ii−i−i−i−iii
χ4322-222-2-2-2-122-1-1-1222211-2-2-2-2-2-22211-2-22-2-1-12-1-1-1-1222211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100002i2i−2i−2i000000002i−2i00000000−i−iii−i−iii00000000
χ4422-222-2-2-2-122-1-1-1222211-2-2-2-2-2-22211-2-22-2-1-12-1-1-1-1222211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000−2i−2i2i2i00000000−2i2i00000000ii−i−iii−i−i00000000
χ4522-222-2-2-2-122-1-1-1222211-2-2-2-2-2-22211-2-2-22-1-12-1-111-2-2-2-2-1-12222-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002i2i−2i−2i00000000−2i2i00000000−i−iiiii−i−i00000000
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χ1334-44-44-44-444-2-4-44-4-4424-444-222-22-2-44-4-4004-2-2-2-2000000000000-4-4422-222-22222-2-24-4-44-222-2-222-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-44-44-44-2-2-4-4422-224-4-2-2-222-22-2-442200-2-211100−2i32i30000−2i32i30022-222-2-1-11-1-1-1-111-222-2-222-21-1-1111-1-1-1-111−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1354-44-44-44-44-2-2-4-4422-224-4-2-2-222-22-2-442200-2-2111002i3−2i300002i3−2i30022-222-2-1-11-1-1-1-111-222-2-222-21-1-1111-1-1-1-1112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1364-44-44-44-4-24422-2-4-44-4-22444-4-44-442-2-4-400-2-24-2-200000000000022-222-2-4-442222-2-2-222-2-222-24-4-44-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-44-44-44-4-24-222-2-4-442-2244-222-22-22-2-4-400-21-21100000000000022-2-1-1122-2-1-1-1-111-222-21-1-11-222-211-1-1-1-11100003-3-33000033-3-3-3-33300003-3-33000033-3-3-3-333000000000000000000000000000000000000000000
χ1384-44-44-44-4-24-222-2-4-442-2244-222-22-22-2-4-400-21-21100000000000022-2-1-1122-2-1-1-1-111-222-21-1-11-222-211-1-1-1-1110000-333-30000-3-33333-3-30000-333-30000-3-33333-3-3000000000000000000000000000000000000000000
χ1394-44-44-44-4-2-2422-222-2-4-22-2-24-4-44-442-222001-2-21100−2i32i30000−2i32i300-1-1122-222-2-1-1-1-1111-1-11-222-2-222-211-1-1-1-111i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1404-44-44-44-4-2-2422-222-2-4-22-2-24-4-44-442-222001-2-211002i3−2i300002i3−2i300-1-1122-222-2-1-1-1-1111-1-11-222-2-222-211-1-1-1-111−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1414-44-44-44-4-2-2-222-222-22-22-2-2-222-22-22-22200111−1−3i32−1+3i3200−2i32i30000−2i32i300-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i321-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3-33i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32i3−i3i3−i33-3-33i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1424-44-44-44-4-2-2-222-222-22-22-2-2-222-22-22-22200111−1−3i32−1+3i32002i3−2i300002i3−2i300-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i321-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333-3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32−i3i3−i3i3-333-3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1434-44-44-44-4-2-2-222-222-22-22-2-2-222-22-22-22200111−1+3i32−1−3i3200−2i32i30000−2i32i300-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i321-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333-3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32i3−i3i3−i3-333-3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000
χ1444-44-44-44-4-2-2-222-222-22-22-2-2-222-22-22-22200111−1+3i32−1−3i32002i3−2i300002i3−2i300-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i321-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3-33−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32−i3i3−i3i33-3-33−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1454-4-44-4-44444-2-44-4-44-42-4-4-442-22-2-22444-4004-2-2-2-2000000000000-44-42-222-2222-2-222-44-442-22-22-22-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-4-4444-24-44-42-22-4-4-42-2-44-444-444-2200-24-2-2-20000000000002-22-44-42-2222-2-2222-22-2-44-442-22-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1474-4-44-4-4444-2-2-44-42-222-4-42-22-22-2-2244-2200-2-21110000000000002-222-22-11-1-1-111-1-12-22-22-22-2-11-11-1-111-1-111000000003-3-333-33-3-33-3300000000-333-3-33-333-33-3000000000000000000000000000000000000000000
χ1484-4-44-4-4444-2-2-44-42-222-4-42-22-22-2-2244-2200-2-21110000000000002-222-22-11-1-1-111-1-12-22-22-22-2-11-11-1-111-1-11100000000-333-3-33-333-33-3000000003-3-333-33-3-33-33000000000000000000000000000000000000000000
χ1494-4-44-4-444-24-22-22-44-4222-442-22-2-22-2-24-400-21-211−2i32i300002i3−2i300002-22-11-12-22-1-111-1-12-22-2-11-112-22-2-1-111-1-111−2i3−2i32i32i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32i32i3−2i3−2i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1504-4-44-4-444-24-22-22-44-4222-442-22-2-22-2-24-400-21-2112i3−2i30000−2i32i300002-22-11-12-22-1-111-1-12-22-2-11-112-22-2-1-111-1-1112i32i3−2i3−2i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1514-4-44-4-444-2-242-222-22-4222-2-44-444-4-2-2-22001-2-211−2i32i300002i3−2i30000-11-12-222-22-1-111-1-1-11-112-22-22-22-2-1-111-1-111i3i3−i3−i3−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i32i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1524-4-44-4-444-2-242-222-22-4222-2-44-444-4-2-2-22001-2-2112i3−2i30000−2i32i30000-11-12-222-22-1-111-1-1-11-112-22-22-22-2-1-111-1-111−i3−i3i3i32i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1534-4-44-4-444-2-2-22-222-222222-22-22-2-22-2-2-2200111−1−3i32−1+3i32−2i32i300002i3−2i30000-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32-11-11-11-11-11-111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32i3i3−i3−i3i3−i3i3−i33-3-33−3−i323−i32−3+i323+i323−i32−3−i323+i32−3+i32−i3−i3i3i3−i3i3−i3i3-333-33+i32−3+i323−i32−3−i32−3+i323+i32−3−i323−i32000000000000000000000000000000000000000000
χ1544-4-44-4-444-2-2-22-222-222222-22-22-2-22-2-2-2200111−1−3i32−1+3i322i3−2i30000−2i32i30000-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32-11-11-11-11-11-111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32−i3−i3i3i3−i3i3−i3i3-333-33+i32−3+i323−i32−3−i32−3+i323+i32−3−i323−i32i3i3−i3−i3i3−i3i3−i33-3-33−3−i323−i32−3+i323+i323−i32−3−i323+i32−3+i32000000000000000000000000000000000000000000
χ1554-4-44-4-444-2-2-22-222-222222-22-22-2-22-2-2-2200111−1+3i32−1−3i32−2i32i300002i3−2i30000-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32-11-11-11-11-11-111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32i3i3−i3−i3i3−i3i3−i3-333-33−i32−3−i323+i32−3+i32−3−i323−i32−3+i323+i32−i3−i3i3i3−i3i3−i3i33-3-33−3+i323+i32−3−i323−i323+i32−3+i323−i32−3−i32000000000000000000000000000000000000000000
χ1564-4-44-4-444-2-2-22-222-222222-22-22-2-22-2-2-2200111−1+3i32−1−3i322i3−2i30000−2i32i30000-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32-11-11-11-11-11-111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32−i3−i3i3i3−i3i3−i3i33-3-33−3+i323+i32−3−i323−i323+i32−3+i323−i32−3−i32i3i3−i3−i3i3−i3i3−i3-333-33−i32−3−i323+i32−3+i32−3−i323−i32−3+i323+i32000000000000000000000000000000000000000000
χ1574-4-4-444-4444-2-4-44-4-442-44-4-42-2-222-24-444004-2-2-2-2000000000000-4-4422-222-22222-2-2-444-42-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-4-444-444-2-2-4-4422-22-44222-2-222-24-4-2-200-2-211100−2i32i300002i3−2i30022-222-2-1-11-1-1-1-1112-2-222-2-22-111-1-1-11111-1-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1594-4-4-444-444-2-2-4-4422-22-44222-2-222-24-4-2-200-2-2111002i3−2i30000−2i32i30022-222-2-1-11-1-1-1-1112-2-222-2-22-111-1-1-11111-1-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1604-4-4-444-44-24422-2-4-44-42-2-4-4-444-4-44-224400-2-24-2-200000000000022-222-2-4-442222-2-22-2-222-2-22-444-422-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-4-4-444-44-24-222-2-4-4422-2-4-42-2-222-2-224400-21-21100000000000022-2-1-1122-2-1-1-1-1112-2-22-111-12-2-22-1-11111-1-100003-3-33000033-3-3-3-3330000-333-30000-3-33333-3-3000000000000000000000000000000000000000000
χ1624-4-4-444-44-24-222-2-4-4422-2-4-42-2-222-2-224400-21-21100000000000022-2-1-1122-2-1-1-1-1112-2-22-111-12-2-22-1-11111-1-10000-333-30000-3-33333-3-300003-3-33000033-3-3-3-333000000000000000000000000000000000000000000
χ1634-4-4-444-44-2-2422-222-2-42-222-444-4-44-22-2-2001-2-21100−2i32i300002i3−2i300-1-1122-222-2-1-1-1-111-111-12-2-222-2-22-1-11111-1-1i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1644-4-4-444-44-2-2422-222-2-42-222-444-4-44-22-2-2001-2-211002i3−2i30000−2i32i300-1-1122-222-2-1-1-1-111-111-12-2-222-2-22-1-11111-1-1−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1654-4-4-444-44-2-2-222-222-222-2222-2-222-2-22-2-200111−1−3i32−1+3i3200−2i32i300002i3−2i300-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3-33i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32−i3i3−i3i3-333-3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1664-4-4-444-44-2-2-222-222-222-2222-2-222-2-22-2-200111−1−3i32−1+3i32002i3−2i30000−2i32i300-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333-3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32i3−i3i3−i33-3-33i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1674-4-4-444-44-2-2-222-222-222-2222-2-222-2-22-2-200111−1+3i32−1−3i3200−2i32i300002i3−2i300-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333-3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32−i3i3−i3i33-3-33−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1684-4-4-444-44-2-2-222-222-222-2222-2-222-2-22-2-200111−1+3i32−1−3i32002i3−2i30000−2i32i300-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3-33−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32i3−i3i3−i3-333-3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000

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