Finite Group Databasebeta

← Group #13180900

Character table — Group #13180900

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222233444444444666666666888888888888881212121212121212121216161616161616161616181818181818242424242424242424242424242424243636363648484848545472727272
order1233466121244333666121212222246612123333666612121212121266661212121212123366121212121212244444666666666661212121212612121266662212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111111111111111111111-1-11111111111111111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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+i32−1−i32−1−i32−1+i32−1+i321−1−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+i3211111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1111−1−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+i3211-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1+i3211-1-11+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−i32−1+i32−1+i32−1−i32−1−i321−1+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−i3211111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1111−1+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−i3211-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ7111111111-1-11111111111-1111-1-1-1-111111111111111111111-1-1-1-11111111111-1-111-1-11-1-11111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1
χ8111111111-1-11111111111-1-1-11-1-1-1-1111111111111111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
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+i32-1-111-1-111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ10111111111-1-11−1−i32−1+i321−1−i32−1+i321111-1-1-11-1-1-1-1−1−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+i321-1-11111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111+i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211+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−i32-1-111-1-111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ12111111111-1-11−1+i32−1−i321−1+i32−1−i321111-1-1-11-1-1-1-1−1+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−i321-1-11111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ131111-111-1-111111111-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-11-11-11-1-1-1-11-11-1-1-1-1-1111111-11-11-11-11-11-11-1
χ141111-111-1-111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-11-1-11-11-1-1-1-11-11-1-1-1-1111111-1-11-11-11-11-11-11
χ151111-111-1-1111−1−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−i32-11-1-111−1−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−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i321−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ161111-111-1-1111−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-111-1-111−1−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−i321-1-11-11-11+i321−i321+i32−1−i321−i32−1+i321+i321+i321−i321−i321−1−i32−1−i32−1+i32−1+i321-1-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ171111-111-1-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11-11-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-11-1-111−1+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+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i321−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ181111-111-1-1111−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-111-1-111−1+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+i321-1-11-11-11−i321+i321−i32−1+i321+i32−1−i321−i321−i321+i321+i321−1+i32−1+i32−1−i32−1−i321-1-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ191111-111-1-1-1-1111111-1-1-1-111-1111-1-111111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1111-11-111111-1-1-1-1-111-11-11-1-11-11-11
χ201111-111-1-1-1-1111111-1-1-1-11-11111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-11-111-1-111-11-1111111-1-1-1-1-11-11-11-111-11-11-1
χ211111-111-1-1-1-11−1−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−i32-11-1-1111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111-1-11-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i3211+i321+i321−i321−i32-111-1−1−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+i32-1-1-1-11-11111-1-1−1−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−i32-11-111-1-1−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321+i321−i321−i32-11-111+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−i32-1-1-1-111-1111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-11-1-1111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111-1-11-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i3211−i321−i321+i321+i32-111-1−1+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−i32-1-1-1-11-11111-1-1−1+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+i32-11-111-1-1−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32
χ25222-12-12-1-122-122-1222-1-122002-1-1-1-1-1-12222-1-122-1-1-1-1200-1-122222-1-1-1-122-1-1-1-1220000-1220000-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222-12-12-1-122-1−1−i3−1+i3-1−1−i3−1+i32-1-122002-1-1-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32200-1-12−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32220000-1−1−i3−1+i300001+i321+i321−i321−i32-11+i321+i321−i321−i32-1-1000000000000
χ27222-12-12-1-122-1−1+i3−1−i3-1−1+i3−1−i32-1-122002-1-1-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32200-1-12−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32220000-1−1+i3−1−i300001−i321−i321+i321+i32-11−i321−i321+i321+i32-1-1000000000000
χ28222-12-12-1-1-2-2-122-1222-1-12-20021111-1-12222-1-122-1-1-1-1200-1-12-2-2-2-2-1-1-1-122-1-1-1-1-2-20000-1-2-200001111-1111111000000000000
χ29222-12-12-1-1-2-2-1−1−i3−1+i3-1−1−i3−1+i32-1-12-200211111+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32200-1-121+i31+i31−i31−i31+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32-2-20000-11+i31−i30000−1−i32−1−i32−1+i32−1+i32-1−1−i32−1−i32−1+i32−1+i3211000000000000
χ30222-12-12-1-1-2-2-1−1+i3−1−i3-1−1+i3−1−i32-1-12-200211111−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32200-1-121−i31−i31+i31+i31−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32-2-20000-11−i31+i30000−1+i32−1+i32−1−i32−1−i32-1−1+i32−1+i32−1−i32−1−i3211000000000000
χ31222-1-2-121122-122-122-211-2-200211-1-1-1-12222-1-1-2-21111-2001-122222-1-1-1-1-2-211112-200001-2-200001111-1-1-1-1-1-11000000000000
χ32222-1-2-121122-1−1−i3−1+i3-1−1−i3−1+i3-211-2-200211-1-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32-2001-12−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i322-2000011+i31−i30000−1−i32−1−i32−1+i32−1+i32-11+i321+i321−i321−i32-11000000000000
χ33222-1-2-121122-1−1+i3−1−i3-1−1+i3−1−i3-211-2-200211-1-11−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32-2001-12−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i322-2000011−i31+i30000−1+i32−1+i32−1−i32−1−i32-11−i321−i321+i321+i32-11000000000000
χ34222-1-2-1211-2-2-122-122-211-22002-1-111-1-12222-1-1-2-21111-2001-12-2-2-2-2-1-1-1-1-2-21111-2200001220000-1-1-1-1-111111-1000000000000
χ35222-1-2-1211-2-2-1−1−i3−1+i3-1−1−i3−1+i3-211-22002-1-1111+i321−i32−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32-2001-121+i31+i31−i31−i31+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32-2200001−1−i3−1+i300001+i321+i321−i321−i32-1−1−i32−1−i32−1+i32−1+i321-1000000000000
χ36222-1-2-1211-2-2-1−1+i3−1−i3-1−1+i3−1−i3-211-22002-1-1111−i321+i32−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32-2001-121−i31−i31+i31+i31−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32-2200001−1+i3−1−i300001−i321−i321+i321+i32-1−1+i32−1+i32−1−i32−1−i321-1000000000000
χ3722-1222-12200-122-122-1-1-120222000022-1-1-1-122222222-1-1-122-10000-1-1-1-1-1-1-1-1-1-1002200-10022220000-1000000-1-1-1-1-1-1000000
χ3822-1222-12200-122-122-1-1-120-2-22000022-1-1-1-122222222-11122-10000-1-1-1-1-1-1-1-1-1-100-2-200-100-2-2-2-20000-1000000111111000000
χ3922-1222-12200-1−1−i3−1+i3-1−1−i3−1+i3-1-1-1202220000−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-122-100001+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32002200-100−1−i3−1−i3−1+i3−1+i30000-1000000-1-11+i321+i321−i321−i32000000
χ4022-1222-12200-1−1−i3−1+i3-1−1−i3−1+i3-1-1-120-2-220000−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11122-100001+i321−i321+i321−i321+i321−i321+i321+i321−i321−i3200-2-200-1001+i31+i31−i31−i30000-100000011−1−i32−1−i32−1+i32−1+i32000000
χ4122-1222-12200-1−1+i3−1−i3-1−1+i3−1−i3-1-1-1202220000−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-122-100001−i321+i321−i321+i321−i321+i321−i321−i321+i321+i32002200-100−1+i3−1+i3−1−i3−1−i30000-1000000-1-11−i321−i321+i321+i32000000
χ4222-1222-12200-1−1+i3−1−i3-1−1+i3−1−i3-1-1-120-2-220000−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11122-100001−i321+i321−i321+i321−i321+i321−i321−i321+i321+i3200-2-200-1001−i31−i31+i31+i30000-100000011−1+i32−1+i32−1−i32−1−i32000000
χ4322-12-22-1-2-200-122-122111-202-22000022-1-1-1-122-2-2-2-2-2-21-11-22-10000-1-1-1-1111111002-2001002-22-20000-1000000-11-11-11000000
χ4422-12-22-1-2-200-122-122111-20-222000022-1-1-1-122-2-2-2-2-2-211-1-22-10000-1-1-1-111111100-2200100-22-220000-10000001-11-11-1000000
χ4522-12-22-1-2-200-1−1−i3−1+i3-1−1−i3−1+i3111-202-220000−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i31+i31+i31−i31−i31-11-22-100001+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32002-200100−1−i31+i3−1+i31−i30000-1000000-111+i32−1−i321−i32−1+i32000000
χ4622-12-22-1-2-200-1−1−i3−1+i3-1−1−i3−1+i3111-20-2220000−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i31+i31−i31+i31+i31−i31−i311-1-22-100001+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3200-22001001+i3−1−i31−i3−1+i30000-10000001-1−1−i321+i32−1+i321−i32000000
χ4722-12-22-1-2-200-1−1+i3−1−i3-1−1+i3−1−i3111-202-220000−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i31−i31−i31+i31+i31-11-22-100001−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32002-200100−1+i31−i3−1−i31+i30000-1000000-111−i32−1+i321+i32−1−i32000000
χ4822-12-22-1-2-200-1−1+i3−1−i3-1−1+i3−1−i3111-20-2220000−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i31−i31+i31−i31−i31+i31+i311-1-22-100001−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3200-22001001−i3−1+i31+i3−1−i30000-10000001-1−1+i321−i32−1−i321+i32000000
χ4933333333333300300333-1333-1333300000000000000-133-1-1-100000000000000-1-1-1-133-10000000000-10000-1-1-1-10000-1-10000
χ5033333333333300300333-13-3-3-1333300000000000000-1-3-3-1-1-100000000000000-1-111-3-3-10000000000-10000-1-1110000110000
χ51333333333-3-3300300333-1-333-1-3-3-3-300000000000000-133-1-1-10000000000000011-1-1-3-3-10000000000-1000011-1-10000110000
χ52333333333-3-3300300333-1-3-3-3-1-3-3-3-300000000000000-1-3-3-1-1-100000000000000111133-10000000000-1000011110000-1-10000
χ533333-333-3-333300300-3-3-31-33-3-1-3-3330000000000000013-31-1-100000000000000-11-113-310000000000-10000-11-110000-110000
χ543333-333-3-333300300-3-3-31-3-33-1-3-333000000000000001-331-1-100000000000000-111-1-3310000000000-10000-111-100001-10000
χ553333-333-3-3-3-3300300-3-3-3133-3-133-3-30000000000000013-31-1-1000000000000001-1-11-3310000000000-100001-1-1100001-10000
χ563333-333-3-3-3-3300300-3-3-313-33-133-3-3000000000000001-331-1-1000000000000001-11-13-310000000000-100001-11-10000-110000
χ5744-2-24-2-2-2-200144144-211400040000-2-2-2-2-2-2-2-244-2-2-2-2-200-2-2-200001111-2-21111000000100000000001000000000000000000
χ5844-2-24-2-2-2-2001−2−2i3−2+2i31−2−2i3−2+2i3-2114000400001+i31−i31+i31−i31+i31−i31+i31−i3−2−2i3−2+2i31+i31+i31−i31−i3-200-2-2-20000−1−i32−1+i32−1−i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000100000000001000000000000000000
χ5944-2-24-2-2-2-2001−2+2i3−2−2i31−2+2i3−2−2i3-2114000400001−i31+i31−i31+i31−i31+i31−i31+i3−2+2i3−2−2i31−i31−i31+i31+i3-200-2-2-20000−1+i32−1−i32−1+i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000100000000001000000000000000000
χ6044-2-2-4-2-222001441442-1-1-400040000-2-2-2-2-2-2-2-2-4-422222002-2-20000111122-1-1-1-1000000-100000000001000000000000000000
χ6144-2-2-4-2-222001−2−2i3−2+2i31−2−2i3−2+2i32-1-1-4000400001+i31−i31+i31−i31+i31−i31+i31−i32+2i32−2i3−1−i3−1−i3−1+i3−1+i32002-2-20000−1−i32−1+i32−1−i32−1+i32−1−i3−1+i31+i321+i321−i321−i32000000-100000000001000000000000000000
χ6244-2-2-4-2-222001−2+2i3−2−2i31−2+2i3−2−2i32-1-1-4000400001−i31+i31−i31+i31−i31+i31−i31+i32−2i32+2i3−1+i3−1+i3−1−i3−1−i32002-2-20000−1+i32−1−i32−1+i32−1−i32−1+i3−1−i31−i321−i321+i321+i32000000-100000000001000000000000000000
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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
χ694-44-202-423−234i−4i-2-2-2222023−2300000−2i32i3−2i2i11-2-222-1-1003−33−30000002i−2i2i−2i11-1-1003−33−30000000000000−i3i3−i3i30−ii−ii00000000000000
χ704-44-202-423−234i−4i-21+i31−i32−1−i3−1+i3023−2300000−2i32i3−2i2i−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000000−3+i323−i323+i32−3−i320−ζ11ζ11−ζ7ζ700000000000000
χ714-44-202-423−234i−4i-21−i31+i32−1+i3−1−i3023−2300000−2i32i3−2i2i−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000003+i32−3−i32−3+i323−i320−ζ7ζ7−ζ11ζ1100000000000000
χ724-44-202-423−23−4i4i-2-2-2222023−23000002i3−2i32i−2i11-2-222-1-1003−33−3000000−2i2i−2i2i11-1-1003−33−30000000000000i3−i3i3−i30i−ii−i00000000000000
χ734-44-202-423−23−4i4i-21+i31−i32−1−i3−1+i3023−23000002i3−2i32i−2i−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000003−i32−3+i32−3−i323+i320ζ11−ζ11ζ7−ζ700000000000000
χ744-44-202-423−23−4i4i-21−i31+i32−1+i3−1−i3023−23000002i3−2i32i−2i−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000000−3−i323+i323−i32−3+i320ζ7−ζ7ζ11−ζ1100000000000000
χ754-44-202-4−23234i−4i-2-2-22220−2323000002i3−2i3−2i2i11-2-222-1-100−33−330000002i−2i2i−2i11-1-100−33−330000000000000i3−i3i3−i30−ii−ii00000000000000
χ764-44-202-4−23234i−4i-21+i31−i32−1−i3−1+i30−2323000002i3−2i3−2i2i−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000003−i32−3+i32−3−i323+i320−ζ11ζ11−ζ7ζ700000000000000
χ774-44-202-4−23234i−4i-21−i31+i32−1+i3−1−i30−2323000002i3−2i3−2i2i−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000000−3−i323+i323−i32−3+i320−ζ7ζ7−ζ11ζ1100000000000000
χ784-44-202-4−2323−4i4i-2-2-22220−232300000−2i32i32i−2i11-2-222-1-100−33−33000000−2i2i−2i2i11-1-100−33−330000000000000−i3i3−i3i30i−ii−i00000000000000
χ794-44-202-4−2323−4i4i-21+i31−i32−1−i3−1+i30−232300000−2i32i32i−2i−1−i32−1+i321+i31−i3−1−i3−1+i31+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000000−3+i323−i323+i32−3−i320ζ11−ζ11ζ7−ζ700000000000000
χ804-44-202-4−2323−4i4i-21−i31+i32−1+i3−1−i30−232300000−2i32i32i−2i−1+i32−1−i321−i31+i3−1+i3−1−i31−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000003+i32−3−i32−3+i323−i320ζ7−ζ7ζ11−ζ1100000000000000
χ81666-36-36-3-366-300-3006-3-3-2600-2-3-3-3-300000000000000-20011-200000000000000-2-20000100000000001000011000000000000
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χ8566-3666-36600-300-300-3-3-3-2066-20000000000000000001-3-3-2-210000000000000000-2-200100000000001000000110000000000
χ8666-3666-36600-300-300-3-3-3-20-6-6-2000000000000000000133-2-2100000000000000002200100000000001000000-1-10000000000
χ8766-36-66-3-6-600-300-300333206-6-2000000000000000000-1-332-210000000000000000-2200-1000000000010000001-10000000000
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χ898-8-480-840000-4-4-4444000000000000-4-422-2-244000000000000000022-2-2000000000000000000000000000000000000000000
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χ918-8-480-840000-42−2i32+2i34−2+2i3−2−2i30000000000002−2i32+2i3−1+i3−1−i31−i31+i3−2+2i3−2−2i30000000000000000−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000
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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
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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
χ981212-6-612-6-6-6-600300300-633-4000-400000000000000000020022200000000000000000000-10000000000-1000000000000000000
χ991212-6-6-12-6-666003003006-3-34000-4000000000000000000-200-2220000000000000000000010000000000-1000000000000000000

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