Finite Group Databasebeta

← Group #13180901

Character table — Group #13180901

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222444444444466666688888888889912121212121212121616161616161616161616161818181818242424242424242424243636363636363636484848484848484854547272
order123346633366612121212222444333366661212446666121212123366121212121212121222244666661212121212661212121212126666121212122466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111111111-1-111111-1-11111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111111111111-1-11-1-11111111111111111111-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-11-1-11111111111111-1-111-1-11111111111111-1-11-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111−1−i32−1+i321−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111−1−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+i321−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32
χ611111111−1−i32−1+i321−1−i32−1+i3211111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1111−1−i32−1−i32−1+i32−1+i3211+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321−i32
χ711111111−1−i32−1+i321−1−i32−1+i3211111-1-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-111+i321+i321−i321−i321−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32
χ811111111−1−i32−1+i321−1−i32−1+i3211111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-111+i321+i321−i321−i3211+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1+i32
χ911111111−1+i32−1−i321−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111−1+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−i321−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32
χ1011111111−1+i32−1−i321−1+i32−1−i3211111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1111−1+i32−1+i32−1−i32−1−i3211−i321−i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321+i32
χ1111111111−1+i32−1−i321−1+i32−1−i3211111-1-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-111−i321−i321+i321+i321−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32
χ1211111111−1+i32−1−i321−1+i32−1−i3211111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-111−i321−i321+i321+i3211−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1−i32
χ131111-111111111-1-1-1-1-11-111-111111111-1-111-11-1-111-111111-1-1-1-1-1-1-1-11-1-11-1-11-11-111-11-11-11-111111-11-11-11-11-1-1-1
χ141111-111111111-1-1-1-1-11-11-1111111111-1-1-1-1-11-1-11-1111111-1-1-1-1-1-1-1-1-1111-1-11-11-11-11-11-111-1-1-1-1-11-11-1-11-11-1111
χ151111-111111111-1-1-1-1-1-1111-111111111-1-1-1-1-1-11-111-111111-1-1-1-1-1-1-1-11-11-11-1-11-1111-11-11-1-11-1-1-1-1-11-111-11-1-1111
χ161111-111111111-1-1-1-1-1-111-1111111111-1-111-1-11-11-1111111-1-1-1-1-1-1-1-1-11-1-11-1-11-111-11-11-11-111111-11-11-11-111-1-1-1
χ171111-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i3211-11-1-111-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321-1-11-1-1−1−i321+i32−1+i321−i321−1−i321+i32−1+i321−i321-11-1−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-11+i321−i32
χ181111-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11-11-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-1-11-1-11-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i32-1111-1-1−1−i321+i32−1+i321−i3211+i32−1−i321−i32−1+i32-111-11+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32-11−1−i32−1+i32
χ191111-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-1-1-11-111-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321-11-11-11+i32−1−i321−i32−1+i321−1−i321+i32−1+i321−i321-1-111+i321+i321−i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32-11−1−i32−1+i32
χ201111-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-111-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i3211-1-11-11-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i32-11-1-11-11+i32−1−i321−i32−1+i3211+i32−1−i321−i32−1+i32-11-11−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321-11+i321−i32
χ211111-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i3211-11-1-111-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321-1-11-1-1−1+i321−i32−1−i321+i321−1+i321−i32−1−i321+i321-11-1−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-11−i321+i32
χ221111-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11-11-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-1-11-1-11-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i32-1111-1-1−1+i321−i32−1−i321+i3211−i32−1+i321+i32−1−i32-111-11−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32-11−1+i32−1−i32
χ231111-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-1-1-11-111-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321-11-11-11−i32−1+i321+i32−1−i321−1+i321−i32−1−i321+i321-1-111−i321−i321+i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32-11−1+i32−1−i32
χ241111-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-111-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i3211-1-11-11-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i32-11-1-11-11−i32−1+i321+i32−1−i3211−i32−1+i321+i32−1−i32-11-11−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321-11−i321+i32
χ25222-12-12-122-122-12-1-1200222-1-12222-1-12200200-1-1-1-12-1-1-1-122-1-1-1-1-1-122000-10000-12222-1-10000000000-1-1-1-10000
χ26222-12-12-122-122-12-1-12002-2-2-1-12222-1-12200200-1-1112-1-1-1-122-1-1-1-1-1-1-2-2000-10000-1-2-2-2-211000000000011110000
χ27222-12-12-1−1−i3−1+i3-1−1−i3−1+i3-12-1-12002221+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i300200-1-1-1-121+i321−i321+i321−i32−1−i3−1+i31+i321−i321+i321+i321−i321−i3222000-10000-1−1−i3−1−i3−1+i3−1+i3-1-100000000001+i321+i321−i321−i320000
χ28222-12-12-1−1−i3−1+i3-1−1−i3−1+i3-12-1-12002-2-21+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i300200-1-11121+i321−i321+i321−i32−1−i3−1+i31+i321−i321+i321+i321−i321−i32-2-2000-10000-11+i31+i31−i31−i3110000000000−1−i32−1−i32−1+i32−1+i320000
χ29222-12-12-1−1+i3−1−i3-1−1+i3−1−i3-12-1-12002221−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i300200-1-1-1-121−i321+i321−i321+i32−1+i3−1−i31−i321+i321−i321−i321+i321+i3222000-10000-1−1+i3−1+i3−1−i3−1−i3-1-100000000001−i321−i321+i321+i320000
χ30222-12-12-1−1+i3−1−i3-1−1+i3−1−i3-12-1-12002-2-21−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i300200-1-11121−i321+i321−i321+i32−1+i3−1−i31−i321+i321−i321−i321+i321+i32-2-2000-10000-11−i31−i31+i31+i3110000000000−1+i32−1+i32−1−i32−1−i320000
χ31222-1-2-12-122-1221-211-20022-2-1-12222-1-1-2-200-2001-1-112-1-1-1-1-2-21111112-200010000-12-22-2-110000000000-11-110000
χ32222-1-2-12-122-1221-211-2002-22-1-12222-1-1-2-200-2001-11-12-1-1-1-1-2-2111111-2200010000-1-22-221-100000000001-11-10000
χ33222-1-2-12-1−1−i3−1+i3-1−1−i3−1+i31-211-20022-21+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i300-2001-1-1121+i321−i321+i321−i321+i31−i3−1−i32−1+i32−1−i32−1−i32−1+i32−1+i322-200010000-1−1−i31+i3−1+i31−i3-1100000000001+i32−1−i321−i32−1+i320000
χ34222-1-2-12-1−1−i3−1+i3-1−1−i3−1+i31-211-2002-221+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i300-2001-11-121+i321−i321+i321−i321+i31−i3−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-2200010000-11+i3−1−i31−i3−1+i31-10000000000−1−i321+i32−1+i321−i320000
χ35222-1-2-12-1−1+i3−1−i3-1−1+i3−1−i31-211-20022-21−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i300-2001-1-1121−i321+i321−i321+i321−i31+i3−1+i32−1−i32−1+i32−1+i32−1−i32−1−i322-200010000-1−1+i31−i3−1−i31+i3-1100000000001−i32−1+i321+i32−1−i320000
χ36222-1-2-12-1−1+i3−1−i3-1−1+i3−1−i31-211-2002-221−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i300-2001-11-121−i321+i321−i321+i321−i31+i3−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-2200010000-11−i3−1+i31+i3−1−i31-10000000000−1+i321−i32−1−i321+i320000
χ3722-1222-1-122-1222-1-1-122220022-1-1-1-1222200-1-1-12200-1-1-1-1-1-1-122-1-1-1-100022-12222-1000000-1-10000-1-1-1-100000000
χ3822-1222-1-122-1222-1-1-12-2-220022-1-1-1-1222200-1112200-1-1-1-1-1-1-122-1-1-1-1000-2-2-1-2-2-2-2-1000000110000111100000000
χ3922-1222-1-1−1−i3−1+i3-1−1−i3−1+i32-1-1-1222200−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i300-1-1-12200-11+i321−i321+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i3200022-1−1−i3−1−i3−1+i3−1+i3-1000000-1-100001+i321+i321−i321−i3200000000
χ4022-1222-1-1−1−i3−1+i3-1−1−i3−1+i32-1-1-12-2-2200−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i300-1112200-11+i321−i321+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000-2-2-11+i31+i31−i31−i3-1000000110000−1−i32−1−i32−1+i32−1+i3200000000
χ4122-1222-1-1−1+i3−1−i3-1−1+i3−1−i32-1-1-1222200−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i300-1-1-12200-11−i321+i321−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i3200022-1−1+i3−1+i3−1−i3−1−i3-1000000-1-100001−i321−i321+i321+i3200000000
χ4222-1222-1-1−1+i3−1−i3-1−1+i3−1−i32-1-1-12-2-2200−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i300-1112200-11−i321+i321−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000-2-2-11−i31−i31+i31+i3-1000000110000−1+i32−1+i32−1−i32−1−i3200000000
χ4322-12-22-1-122-122-2111-22-220022-1-1-1-122-2-2001-11-2200-1-1-1-1-111-2-211110002-212-22-2-1000000-110000-11-1100000000
χ4422-12-22-1-122-122-2111-2-2220022-1-1-1-122-2-20011-1-2200-1-1-1-1-111-2-21111000-221-22-22-10000001-100001-11-100000000
χ4522-12-22-1-1−1−i3−1+i3-1−1−i3−1+i3-2111-22-2200−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i3001-11-2200-11+i321−i321+i321−i32−1−i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i320002-21−1−i31+i3−1+i31−i3-1000000-1100001+i32−1−i321−i32−1+i3200000000
χ4622-12-22-1-1−1−i3−1+i3-1−1−i3−1+i3-2111-2-22200−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i30011-1-2200-11+i321−i321+i321−i32−1−i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i32000-2211+i3−1−i31−i3−1+i3-10000001-10000−1−i321+i32−1+i321−i3200000000
χ4722-12-22-1-1−1+i3−1−i3-1−1+i3−1−i3-2111-22-2200−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i3001-11-2200-11−i321+i321−i321+i32−1+i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i320002-21−1+i31−i3−1−i31+i3-1000000-1100001−i32−1+i321+i32−1−i3200000000
χ4822-12-22-1-1−1+i3−1−i3-1−1+i3−1−i3-2111-2-22200−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i30011-1-2200-11−i321+i321−i321+i32−1+i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i32000-2211−i3−1+i31+i3−1−i3-10000001-10000−1+i321−i32−1−i321+i3200000000
χ4933333333003003333-133-133000000000033-133-1-133-1000000000000-1-13-1-1-10000-10000-1-1-1-1000000000000-1-100
χ5033333333003003333-133-1-3-30000000000-3-3-133-1-1-3-3-100000000000011-3-1-1-10000-1000011-1-10000000000001100
χ5133333333003003333-1-3-3-1330000000000-3-3-1-3-3-1-133-1000000000000-1-1-311-10000-10000-1-1110000000000001100
χ5233333333003003333-1-3-3-1-3-3000000000033-1-3-3-1-1-3-3-100000000000011311-10000-100001111000000000000-1-100
χ533333-333300300-3-3-3-313-3-13-300000000003313-31-13-3-1000000000000-11-3-1110000-10000-11-11000000000000-1100
χ543333-333300300-3-3-3-313-3-1-330000000000-3-313-31-1-33-10000000000001-13-1110000-100001-1-110000000000001-100
χ553333-333300300-3-3-3-31-33-13-30000000000-3-31-331-13-3-1000000000000-1131-110000-10000-111-10000000000001-100
χ563333-333300300-3-3-3-31-33-1-330000000000331-331-1-33-10000000000001-1-31-110000-100001-11-1000000000000-1100
χ5744-2-24-2-2144144-2-211400400-2-2-2-2-2-2-2-24400-200-2-200-21111-2-2-2-2111100000100001000000000000000000000000
χ5844-2-24-2-21−2−2i3−2+2i31−2−2i3−2+2i3-2-2114004001+i31−i31+i31−i31+i31−i31+i31−i3−2−2i3−2+2i300-200-2-200-2−1−i32−1+i32−1−i32−1+i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i3200000100001000000000000000000000000
χ5944-2-24-2-21−2+2i3−2−2i31−2+2i3−2−2i3-2-2114004001−i31+i31−i31+i31−i31+i31−i31+i3−2+2i3−2−2i300-200-2-200-2−1+i32−1−i32−1+i32−1−i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i3200000100001000000000000000000000000
χ6044-2-2-4-2-214414422-1-1-400400-2-2-2-2-2-2-2-2-4-4002002-200-211112222-1-1-1-100000-100001000000000000000000000000
χ6144-2-2-4-2-21−2−2i3−2+2i31−2−2i3−2+2i322-1-1-4004001+i31−i31+i31−i31+i31−i31+i31−i32+2i32−2i3002002-200-2−1−i32−1+i32−1−i32−1+i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i3200000-100001000000000000000000000000
χ6244-2-2-4-2-21−2+2i3−2−2i31−2+2i3−2−2i322-1-1-4004001−i31+i31−i31+i31−i31+i31−i31+i32−2i32+2i3002002-200-2−1+i32−1−i32−1+i32−1−i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i3200000-100001000000000000000000000000
χ634-4440-4-44-2-2-4220000000000-2-2-2-22222004i−4i00000000-2-2220000000000000000000000000002i−2i2i−2i000000000000
χ644-4440-4-44-2-2-4220000000000-2-2-2-2222200−4i4i00000000-2-222000000000000000000000000000−2i2i−2i2i000000000000
χ654-4440-4-441+i31−i3-4−1−i3−1+i300000000001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3004i−4i000000001+i31−i3−1−i3−1+i30000000000000000000000000002ζ11−2ζ112ζ7−2ζ7000000000000
χ664-4440-4-441+i31−i3-4−1−i3−1+i300000000001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i300−4i4i000000001+i31−i3−1−i3−1+i3000000000000000000000000000−2ζ112ζ11−2ζ72ζ7000000000000
χ674-4440-4-441−i31+i3-4−1+i3−1−i300000000001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3004i−4i000000001−i31+i3−1+i3−1−i30000000000000000000000000002ζ7−2ζ72ζ11−2ζ11000000000000
χ684-4440-4-441−i31+i3-4−1+i3−1−i300000000001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i300−4i4i000000001−i31+i3−1+i3−1−i3000000000000000000000000000−2ζ72ζ7−2ζ112ζ11000000000000
χ69666-36-36-300-300-36-3-3-200-266000000000000-20011-3-3-2000000000000-2-2000100001000011000000000000000000
χ70666-36-36-300-300-36-3-3-200-2-6-6000000000000-2001133-2000000000000220001000010000-1-1000000000000000000
χ71666-3-6-36-300-3003-633200-26-6000000000000200-11-33-2000000000000-22000-10000100001-1000000000000000000
χ72666-3-6-36-300-3003-633200-2-66000000000000200-113-3-20000000000002-2000-1000010000-11000000000000000000
χ7366-3666-3-300-3006-3-3-3-266-2000000000000001-3-3-2-2001000000000000000-2-2100001000000110000000000000000
χ7466-3666-3-300-3006-3-3-3-2-6-6-200000000000000133-2-200100000000000000022100001000000-1-10000000000000000
χ7566-36-66-3-300-300-633326-6-200000000000000-1-332-2001000000000000000-22-1000010000001-10000000000000000
χ7666-36-66-3-300-300-63332-66-200000000000000-13-32-20010000000000000002-2-100001000000-110000000000000000
χ778-88-404-8-4-4-4444000000000022-4-444-2-200000000000022-2-20000000000000000000000000000000000000000000
χ788-88-404-8-42+2i32−2i34−2−2i3−2+2i30000000000−1−i3−1+i32+2i32−2i3−2−2i3−2+2i31+i31−i3000000000000−1−i3−1+i31+i31−i30000000000000000000000000000000000000000000
χ798-88-404-8-42−2i32+2i34−2+2i3−2−2i30000000000−1+i3−1−i32−2i32+2i3−2+2i3−2−2i31−i31+i3000000000000−1+i3−1−i31−i31+i30000000000000000000000000000000000000000000
χ808-8-480-84-4-4-44440000000000-4-422-2-24400000000000022-2-20000000000000000000000000000000000000000000
χ818-8-480-84-42+2i32−2i34−2−2i3−2+2i300000000002+2i32−2i3−1−i3−1+i31+i31−i3−2−2i3−2+2i3000000000000−1−i3−1+i31+i31−i30000000000000000000000000000000000000000000
χ828-8-480-84-42−2i32+2i34−2+2i3−2−2i300000000002−2i32+2i3−1+i3−1−i31−i31+i3−2+2i3−2−2i3000000000000−1+i3−1−i31−i31+i30000000000000000000000000000000000000000000
χ838-8-4-40442-4-4-244006i−6i0000002222-2-2-2-2000000000000-1-11100003i−3i3i−3i00000000000000000000000000000000000
χ848-8-4-40442-4-4-24400−6i6i0000002222-2-2-2-2000000000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000
χ858-8-4-404422+2i32−2i3-2−2−2i3−2+2i3006i−6i000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000000000001+i321−i32−1−i32−1+i3200003ζ11−3ζ113ζ7−3ζ700000000000000000000000000000000000
χ868-8-4-404422+2i32−2i3-2−2−2i3−2+2i300−6i6i000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000000000001+i321−i32−1−i32−1+i320000−3ζ113ζ11−3ζ73ζ700000000000000000000000000000000000
χ878-8-4-404422−2i32+2i3-2−2+2i3−2−2i3006i−6i000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000000000001−i321+i32−1+i32−1−i3200003ζ7−3ζ73ζ11−3ζ1100000000000000000000000000000000000
χ888-8-4-404422−2i32+2i3-2−2+2i3−2−2i300−6i6i000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000000000001−i321+i32−1+i32−1−i320000−3ζ73ζ7−3ζ113ζ1100000000000000000000000000000000000
χ891212-6-612-6-6300300-6-633-400-4000000000000002002200200000000000000000-10000-1000000000000000000000000
χ901212-6-6-12-6-630030066-3-3400-400000000000000-200-220020000000000000000010000-1000000000000000000000000

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