Finite Group Databasebeta

← Group #13180904

Character table — Group #13180904

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222233444444444666666666888888888888881212121212121212121216161616161616161616181818181818242424242424242424242424242424243636363648484848545472727272
order12334661212443336661212122244466121233336666121212121212661212121212121212336612121212121222222466666661212121212121212126661212121212446666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111111111111111111-1-11111111111111111-1-1-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111−1−i32−1+i321−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ4111111111111−1−i32−1+i321−1−i32−1+i32111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-111+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ5111111111111−1+i32−1−i321−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ6111111111111−1+i32−1−i321−1+i32−1−i32111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-111−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ7111111111-1-11111111111-1111-1-1-1-111111111111111111111-1-1-1-11111111111-111-1-1-11-1-1-1-1-1-111111-1-1-1-1-111-11111-1-1-1-1-1-1
χ8111111111-1-11111111111-11-1-1-1-1-1-111111111111111111-1-11-1-1-1-11111111111-1-1-111-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111-1-11−1−i32−1+i321−1−i32−1+i321111-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-111+i321−i321+i321+i321−i321−i321−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-1−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ10111111111-1-11−1−i32−1+i321−1−i32−1+i321111-11-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-111-111+i321−i321+i321+i321−i321−i3211+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ11111111111-1-11−1+i32−1−i321−1+i32−1−i321111-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-111−i321+i321−i321−i321+i321+i321−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111-1−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ12111111111-1-11−1+i32−1−i321−1+i32−1−i321111-11-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-111-111−i321+i321−i321−i321+i321+i3211−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ131111-111-1-111111111-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-111-11-1111111-1-11-11-11-11-11-1
χ141111-111-1-111111111-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-11-11-1111111-11-1-11-11-11-11-11
χ151111-111-1-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-111-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-111-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i3211-11-1-1-11+i321−i321+i321+i321−i321−i321−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ161111-111-1-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11-11-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-11-111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-11-11-1-11+i321−i321+i321+i321−i321−i3211+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ171111-111-1-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-111-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-111-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i3211-11-1-1-11−i321+i321−i321−i321+i321+i321−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ181111-111-1-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11-11-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-11-111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-11-11-1-11−i321+i321−i321−i321+i321+i3211−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ191111-111-1-1-1-1111111-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-11-1-111-111111111-11-1-1-1-1-1-11-111-11-1-11-11-11
χ201111-111-1-1-1-1111111-1-1-1-111-1111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11111111-11-11-1-1-1-1-1-111-11-111-11-11-1
χ211111-111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-1-1-1111-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-111-111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-11-1-111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i321+i32−1+i321−i321+i321+i321−i321−i32-11-11−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32
χ221111-111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-1-1-111-1111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-111-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i32−1−i321−i32−1+i321+i321+i321−i321−i32-1-1111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32
χ231111-111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-1-1-1111-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-111-111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-11-1-111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i321−i32−1−i321+i321−i321−i321+i321+i32-11-11−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32
χ241111-111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-1-1-111-1111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-111-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i32−1+i321+i32−1−i321−i321−i321+i321+i32-1-1111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32
χ25222-12-122200-122-122-1-1-1202220000-1-12222-1-12222222-1-1-1-120000-1-1-1-1-1-1-1-1-1-1022000-1000000-1222200000-1-10-1-1-1-1000000
χ26222-12-122200-122-122-1-1-1202-2-20000-1-12222-1-12222222-1-11120000-1-1-1-1-1-1-1-1-1-10-2-2000-1000000-1-2-2-2-2000001101111000000
χ27222-12-122200-1−1−i3−1+i3-1−1−i3−1+i3-1-1-12022200001+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-1-1-1-1200001+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32022000-1000000-1−1−i3−1−i3−1+i3−1+i300000-1-101+i321+i321−i321−i32000000
χ28222-12-122200-1−1−i3−1+i3-1−1−i3−1+i3-1-1-1202-2-200001+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-1-111200001+i321−i321+i321−i321+i321−i321+i321+i321−i321−i320-2-2000-1000000-11+i31+i31−i31−i300000110−1−i32−1−i32−1+i32−1+i32000000
χ29222-12-122200-1−1+i3−1−i3-1−1+i3−1−i3-1-1-12022200001−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-1-1-1-1200001−i321+i321−i321+i321−i321+i321−i321−i321+i321+i32022000-1000000-1−1+i3−1+i3−1−i3−1−i300000-1-101−i321−i321+i321+i32000000
χ30222-12-122200-1−1+i3−1−i3-1−1+i3−1−i3-1-1-1202-2-200001−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-1-111200001−i321+i321−i321+i321−i321+i321−i321−i321+i321+i320-2-2000-1000000-11−i31−i31+i31+i300000110−1+i32−1+i32−1−i32−1−i32000000
χ31222-1-2-12-2-200-122-122111-2022-20000-1-12222-1-1-2-2-2-2-2-2-21-1-1120000-1-1-1-111111102-20001000000-12-22-200000-110-11-11000000
χ32222-1-2-12-2-200-122-122111-202-220000-1-12222-1-1-2-2-2-2-2-2-21-11-120000-1-1-1-11111110-220001000000-1-22-22000001-101-11-1000000
χ33222-1-2-12-2-200-1−1−i3−1+i3-1−1−i3−1+i3111-2022-200001+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i31+i31+i31−i31−i3-21-1-11200001+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3202-20001000000-1−1−i31+i3−1+i31−i300000-1101+i32−1−i321−i32−1+i32000000
χ34222-1-2-12-2-200-1−1−i3−1+i3-1−1−i3−1+i3111-202-2200001+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i31+i31+i31−i31−i3-21-11-1200001+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i320-220001000000-11+i3−1−i31−i3−1+i3000001-10−1−i321+i32−1+i321−i32000000
χ35222-1-2-12-2-200-1−1+i3−1−i3-1−1+i3−1−i3111-2022-200001−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i31−i31−i31+i31+i3-21-1-11200001−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3202-20001000000-1−1+i31−i3−1−i31+i300000-1101−i32−1+i321+i32−1−i32000000
χ36222-1-2-12-2-200-1−1+i3−1−i3-1−1+i3−1−i3111-202-2200001−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i31−i31−i31+i31+i3-21-11-1200001−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i320-220001000000-11−i3−1+i31+i3−1−i3000001-10−1+i321−i32−1−i321+i32000000
χ3722-1222-1-1-122-122-1222-1-122200-1-1-1-122-1-1-1-12222-1-1-1-1-12200-12222-1-1-1-122-1-1-1-1200002-122-1-1-1-1-10000-1-1-1-1-100-10000000000
χ3822-1222-1-1-122-1−1−i3−1+i3-1−1−i3−1+i32-1-122200-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i32-12200-1−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32200002-1−1−i3−1+i31+i321+i321−i321−i32-100001+i321+i321−i321−i32-100-10000000000
χ3922-1222-1-1-122-1−1+i3−1−i3-1−1+i3−1−i32-1-122200-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i32-12200-1−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32200002-1−1+i3−1−i31−i321−i321+i321+i32-100001−i321−i321+i321+i32-100-10000000000
χ4022-1222-1-1-1-2-2-122-1222-1-12-2200111122-1-1-1-12222-1-1-1-1-12200-1-2-2-2-2-1-1-1-122-1-1-1-1-20000-2-1-2-21111-10000111110010000000000
χ4122-1222-1-1-1-2-2-1−1−i3−1+i3-1−1−i3−1+i32-1-12-22001111−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i32-12200-11+i31+i31−i31−i31+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32-20000-2-11+i31−i3−1−i32−1−i32−1+i32−1+i32-10000−1−i32−1−i32−1+i32−1+i3210010000000000
χ4222-1222-1-1-1-2-2-1−1+i3−1−i3-1−1+i3−1−i32-1-12-22001111−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i32-12200-11−i31−i31+i31+i31−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32-20000-2-11−i31+i3−1+i32−1+i32−1−i32−1−i32-10000−1+i32−1+i32−1−i32−1−i3210010000000000
χ4322-12-22-11122-122-122-211-2-220011-1-122-1-1-1-122-2-211111-2200-12222-1-1-1-1-2-2111120000-21-2-21111-10000-1-1-1-1-10010000000000
χ4422-12-22-11122-1−1−i3−1+i3-1−1−i3−1+i3-211-2-220011-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i321-2200-1−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3220000-211+i31−i3−1−i32−1−i32−1+i32−1+i32-100001+i321+i321−i321−i32-10010000000000
χ4522-12-22-11122-1−1+i3−1−i3-1−1+i3−1−i3-211-2-220011-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i321-2200-1−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3220000-211−i31+i3−1+i32−1+i32−1−i32−1−i32-100001−i321−i321+i321+i32-10010000000000
χ4622-12-22-111-2-2-122-122-211-22200-1-11122-1-1-1-122-2-211111-2200-1-2-2-2-2-1-1-1-1-2-21111-200002122-1-1-1-1-100001111100-10000000000
χ4722-12-22-111-2-2-1−1−i3−1+i3-1−1−i3−1+i3-211-22200-1-111−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i321-2200-11+i31+i31−i31−i31+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32-2000021−1−i3−1+i31+i321+i321−i321−i32-10000−1−i32−1−i32−1+i32−1+i32100-10000000000
χ4822-12-22-111-2-2-1−1+i3−1−i3-1−1+i3−1−i3-211-22200-1-111−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i321-2200-11−i31−i31+i31+i31−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32-2000021−1+i3−1−i31−i321−i321+i321+i32-10000−1+i32−1+i32−1−i32−1−i32100-10000000000
χ4933333333333300300333-13-133333300000000000000-1-1-133-100000000000000-1-1-133-1-1000000-100000000-1-1-1-10000-1-10000
χ5033333333333300300333-13-1-3-3333300000000000000-1-1-1-3-3-100000000000000-111-3-3-1-1000000-100000000-111-10000110000
χ51333333333-3-3300300333-1-3-133-3-3-3-300000000000000-1-1-133-1000000000000001-1-1-3-31-1000000-1000000001-1-110000110000
χ52333333333-3-3300300333-1-3-1-3-3-3-3-3-300000000000000-1-1-1-3-3-100000000000000111331-1000000-10000000011110000-1-10000
χ533333-333-3-333300300-3-3-31-3-13-3-3-3330000000000000011-13-3-100000000000000-1-113-311000000-100000000-1-1110000-110000
χ543333-333-3-333300300-3-3-31-3-1-33-3-3330000000000000011-1-33-100000000000000-11-1-3311000000-100000000-11-1100001-10000
χ553333-333-3-3-3-3300300-3-3-313-13-333-3-30000000000000011-13-3-1000000000000001-11-33-11000000-1000000001-11-100001-10000
χ563333-333-3-3-3-3300300-3-3-313-1-3333-3-30000000000000011-1-33-10000000000000011-13-3-11000000-10000000011-1-10000-110000
χ5744-2-24-2-2-2-200144144-211404000000-2-2-2-2-2-2-2-244-2-2-2-2-2-2-200-200001111-2-21111000000100000010000000000000000000000
χ5844-2-24-2-2-2-2001−2−2i3−2+2i31−2−2i3−2+2i3-2114040000001+i31−i31+i31−i31+i31−i31+i31−i3−2−2i3−2+2i31+i31+i31−i31−i3-2-2-200-20000−1−i32−1+i32−1−i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000100000010000000000000000000000
χ5944-2-24-2-2-2-2001−2+2i3−2−2i31−2+2i3−2−2i3-2114040000001−i31+i31−i31+i31−i31+i31−i31+i3−2+2i3−2−2i31−i31−i31+i31+i3-2-2-200-20000−1+i32−1−i32−1+i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000100000010000000000000000000000
χ6044-2-2-4-2-222001441442-1-1-404000000-2-2-2-2-2-2-2-2-4-4222222-200-20000111122-1-1-1-1000000-100000010000000000000000000000
χ6144-2-2-4-2-222001−2−2i3−2+2i31−2−2i3−2+2i32-1-1-4040000001+i31−i31+i31−i31+i31−i31+i31−i32+2i32−2i3−1−i3−1−i3−1+i3−1+i322-200-20000−1−i32−1+i32−1−i32−1+i32−1−i3−1+i31+i321+i321−i321−i32000000-100000010000000000000000000000
χ6244-2-2-4-2-222001−2+2i3−2−2i31−2+2i3−2−2i32-1-1-4040000001−i31+i31−i31+i31−i31+i31−i31+i32−2i32+2i3−1+i3−1+i3−1−i3−1−i322-200-20000−1+i32−1−i32−1+i32−1−i32−1+i3−1−i31−i321−i321+i321+i32000000-100000010000000000000000000000
χ634-4440-4-4004i−4i4-2-2-42200000000004i−4i-2-2-2-222220000000000002i−2i2i−2i-2-2220000000000000000000000002i−2i2i−2i00000000000000
χ644-4440-4-4004i−4i41+i31−i3-4−1−i3−1+i300000000004i−4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i30000000000002ζ11−2ζ112ζ7−2ζ71+i31−i3−1−i3−1+i30000000000000000000000002ζ11−2ζ112ζ7−2ζ700000000000000
χ654-4440-4-4004i−4i41−i31+i3-4−1+i3−1−i300000000004i−4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i30000000000002ζ7−2ζ72ζ11−2ζ111−i31+i3−1+i3−1−i30000000000000000000000002ζ7−2ζ72ζ11−2ζ1100000000000000
χ664-4440-4-400−4i4i4-2-2-4220000000000−4i4i-2-2-2-22222000000000000−2i2i−2i2i-2-222000000000000000000000000−2i2i−2i2i00000000000000
χ674-4440-4-400−4i4i41+i31−i3-4−1−i3−1+i30000000000−4i4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000−2ζ112ζ11−2ζ72ζ71+i31−i3−1−i3−1+i3000000000000000000000000−2ζ112ζ11−2ζ72ζ700000000000000
χ684-4440-4-400−4i4i41−i31+i3-4−1+i3−1−i30000000000−4i4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000−2ζ72ζ7−2ζ112ζ111−i31+i3−1+i3−1−i3000000000000000000000000−2ζ72ζ7−2ζ112ζ1100000000000000
χ694-4-240-4223−234i−4i-2-2-2222023−2300000−2i32i3−2i2i-2-211-1-122003−33−30000002i−2i2i−2i11-1-1003−33−3000000000−i3i3−i3i300000−ii−ii00000000000000
χ704-4-240-4223−234i−4i-21+i31−i32−1−i3−1+i3023−2300000−2i32i3−2i2i1+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i3002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000−3+i323−i323+i32−3−i3200000−ζ11ζ11−ζ7ζ700000000000000
χ714-4-240-4223−234i−4i-21−i31+i32−1+i3−1−i3023−2300000−2i32i3−2i2i1−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000003+i32−3−i32−3+i323−i3200000−ζ7ζ7−ζ11ζ1100000000000000
χ724-4-240-4223−23−4i4i-2-2-2222023−23000002i3−2i32i−2i-2-211-1-122003−33−3000000−2i2i−2i2i11-1-1003−33−3000000000i3−i3i3−i300000i−ii−i00000000000000
χ734-4-240-4223−23−4i4i-21+i31−i32−1−i3−1+i3023−23000002i3−2i32i−2i1+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i3002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000003−i32−3+i32−3−i323+i3200000ζ11−ζ11ζ7−ζ700000000000000
χ744-4-240-4223−23−4i4i-21−i31+i32−1+i3−1−i3023−23000002i3−2i32i−2i1−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000−3−i323+i323−i32−3+i3200000ζ7−ζ7ζ11−ζ1100000000000000
χ754-4-240-42−23234i−4i-2-2-22220−2323000002i3−2i3−2i2i-2-211-1-12200−33−330000002i−2i2i−2i11-1-100−33−33000000000i3−i3i3−i300000−ii−ii00000000000000
χ764-4-240-42−23234i−4i-21+i31−i32−1−i3−1+i30−2323000002i3−2i3−2i2i1+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000003−i32−3+i32−3−i323+i3200000−ζ11ζ11−ζ7ζ700000000000000
χ774-4-240-42−23234i−4i-21−i31+i32−1+i3−1−i30−2323000002i3−2i3−2i2i1−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000−3−i323+i323−i32−3+i3200000−ζ7ζ7−ζ11ζ1100000000000000
χ784-4-240-42−2323−4i4i-2-2-22220−232300000−2i32i32i−2i-2-211-1-12200−33−33000000−2i2i−2i2i11-1-100−33−33000000000−i3i3−i3i300000i−ii−i00000000000000
χ794-4-240-42−2323−4i4i-21+i31−i32−1−i3−1+i30−232300000−2i32i32i−2i1+i31−i3−1−i32−1+i321+i321−i32−1−i3−1+i300−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000−3+i323−i323+i32−3−i3200000ζ11−ζ11ζ7−ζ700000000000000
χ804-4-240-42−2323−4i4i-21−i31+i32−1+i3−1−i30−232300000−2i32i32i−2i1−i31+i3−1+i32−1−i321−i321+i32−1+i3−1−i300ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000003+i32−3−i32−3+i323−i3200000ζ7−ζ7ζ11−ζ1100000000000000
χ81666-36-366600-300-300-3-3-3-20-266000000000000000000-211-3-3-2000000000000000-2-2000100000010000000001100000000000
χ82666-36-366600-300-300-3-3-3-20-2-6-6000000000000000000-21133-20000000000000002200010000001000000000-1-100000000000
χ83666-3-6-36-6-600-300-30033320-26-60000000000000000002-11-33-2000000000000000-22000-100000010000000001-100000000000
χ84666-3-6-36-6-600-300-30033320-2-660000000000000000002-113-3-20000000000000002-2000-10000001000000000-1100000000000
χ8566-3666-3-3-366-300-3006-3-3-26-200-3-3-3-3000000000000001-2-200100000000000000-20000-2100000010000000010010000000000
χ8666-3666-3-3-3-6-6-300-3006-3-3-2-6-2003333000000000000001-2-2001000000000000002000021000000100000000-100-10000000000
χ8766-36-66-33366-300-300-6332-6-20033-3-300000000000000-12-200100000000000000-200002-1000000100000000100-10000000000
χ8866-36-66-333-6-6-300-300-63326-200-3-33300000000000000-12-20010000000000000020000-2-1000000100000000-10010000000000
χ898-88-404-80000-4-4-444400000000000022-4-444-2-2000000000000000022-2-2000000000000000000000000000000000000000000
χ908-88-404-80000-42+2i32−2i34−2−2i3−2+2i3000000000000−1−i3−1+i32+2i32−2i3−2−2i3−2+2i31+i31−i30000000000000000−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000
χ918-88-404-80000-42−2i32+2i34−2+2i3−2−2i3000000000000−1+i3−1−i32−2i32+2i3−2+2i3−2−2i31−i31+i30000000000000000−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000
χ928-8-4-404443−43002-4-4-2440−23230000000002222-2-2-2-20023−2323−230000000000-1-11100−33−33000000000000000000000000000000000000
χ938-8-4-404443−430022+2i32−2i3-2−2−2i3−2+2i30−2323000000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3004ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ1100000000001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000000
χ948-8-4-404443−430022−2i32+2i3-2−2+2i3−2−2i30−2323000000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ1100000000001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000000
χ958-8-4-4044−4343002-4-4-244023−230000000002222-2-2-2-200−2323−23230000000000-1-111003−33−3000000000000000000000000000000000000
χ968-8-4-4044−43430022+2i32−2i3-2−2−2i3−2+2i3023−23000000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ1100000000001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000000
χ978-8-4-4044−43430022−2i32+2i3-2−2+2i3−2−2i3023−23000000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3002ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ1100000000001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000000
χ981212-6-612-6-6-6-600300300-633-40-40000000000000000000022200200000000000000000000-1000000-10000000000000000000000
χ991212-6-6-12-6-666003003006-3-340-400000000000000000000-2-22002000000000000000000001000000-10000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.