Finite Group Databasebeta

← Group #11724458

Character table — Group #11724458

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222266888888888888121236363636112222266888888888888121236363636112222266888888888888121236363636
order123461212243336661212121212126124488363126121261233366612121212121261212122424363126121261233366612121212121261212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1
χ3111-11-1-1-11111111-1-1-1-1-1-1-111-11-1111-11-1-1-11111111-1-1-1-1-1-1-111-11-1111-11-1-1-11111111-1-1-1-1-1-1-111-11-1
χ4111-11-1-1-11111111-1-1-1-1-1-1-11-11-11111-11-1-1-11111111-1-1-1-1-1-1-11-11-11111-11-1-1-11111111-1-1-1-1-1-1-11-11-11
χ5222222222-1-1-1-1-1-1-1-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-1-1-1220000
χ6222-22-2-2-22-1-1-1-1-1-1111111-220000222-22-2-2-22-1-1-1-1-1-1111111-220000222-22-2-2-22-1-1-1-1-1-1111111-220000
χ722-12-1-1-1222-1-12-1-122-1-1-1-1-1-1000022-12-1-1-1222-1-12-1-122-1-1-1-1-1-1000022-12-1-1-1222-1-12-1-122-1-1-1-1-1-10000
χ822-12-1-1-122-12-1-12-1-1-122-1-1-1-1000022-12-1-1-122-12-1-12-1-1-122-1-1-1-1000022-12-1-1-122-12-1-12-1-1-122-1-1-1-10000
χ922-12-1-1-122-1-12-1-12-1-1-1-122-1-1000022-12-1-1-122-1-12-1-12-1-1-1-122-1-1000022-12-1-1-122-1-12-1-12-1-1-1-122-1-10000
χ1022-1-2-111-222-1-12-1-1-2-211111-1000022-1-2-111-222-1-12-1-1-2-211111-1000022-1-2-111-222-1-12-1-1-2-211111-10000
χ1122-1-2-111-22-12-1-12-111-2-2111-1000022-1-2-111-22-12-1-12-111-2-2111-1000022-1-2-111-22-12-1-12-111-2-2111-10000
χ1222-1-2-111-22-1-12-1-121111-2-21-1000022-1-2-111-22-1-12-1-121111-2-21-1000022-1-2-111-22-1-12-1-121111-2-21-10000
χ133333333-1-1000000000000-1-111-1-13333333-1-1000000000000-1-111-1-13333333-1-1000000000000-1-111-1-1
χ143333333-1-1000000000000-1-1-1-1113333333-1-1000000000000-1-1-1-1113333333-1-1000000000000-1-1-1-111
χ15333-33-3-31-10000000000001-11-1-11333-33-3-31-10000000000001-11-1-11333-33-3-31-10000000000001-11-1-11
χ16333-33-3-31-10000000000001-1-111-1333-33-3-31-10000000000001-1-111-1333-33-3-31-10000000000001-1-111-1
χ174-440-40000111-1-1-13−33−33−30000004-440-40000111-1-1-13−33−33−30000004-440-40000111-1-1-13−33−33−3000000
χ184-440-40000111-1-1-1−33−33−330000004-440-40000111-1-1-1−33−33−330000004-440-40000111-1-1-1−33−33−33000000
χ194-440-40000-2-2-22220000000000004-440-40000-2-2-22220000000000004-440-40000-2-2-2222000000000000
χ204-4-20223−230011-2-1-123−3−33000000004-4-20223−230011-2-1-123−3−33000000004-4-20223−230011-2-1-123−3−3300000000
χ214-4-20223−23001-21-12-1−33003−30000004-4-20223−23001-21-12-1−33003−30000004-4-20223−23001-21-12-1−33003−3000000
χ224-4-20223−2300-2112-1-1003−3−330000004-4-20223−2300-2112-1-1003−3−330000004-4-20223−2300-2112-1-1003−3−33000000
χ234-4-202−23230011-2-1-12−333−3000000004-4-202−23230011-2-1-12−333−3000000004-4-202−23230011-2-1-12−333−300000000
χ244-4-202−2323001-21-12-13−300−330000004-4-202−2323001-21-12-13−300−330000004-4-202−2323001-21-12-13−300−33000000
χ254-4-202−232300-2112-1-100−333−30000004-4-202−232300-2112-1-100−333−30000004-4-202−232300-2112-1-100−333−3000000
χ2666-36-3-3-3-2-200000000000011000066-36-3-3-3-2-200000000000011000066-36-3-3-3-2-2000000000000110000
χ2766-3-6-3332-2000000000000-11000066-3-6-3332-2000000000000-11000066-3-6-3332-2000000000000-110000
χ28111111111111111111111111111−1+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+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+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−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−i32−1−i32
χ2911111111111111111111111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−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+i321+i321+i321+i32
χ30111-11-1-1-11111111-1-1-1-1-1-1-111-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ31111-11-1-1-11111111-1-1-1-1-1-1-11-11-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ32222222222-1-1-1-1-1-1-1-1-1-1-1-1220000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i30000
χ33222-22-2-2-22-1-1-1-1-1-1111111-220000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000
χ3422-12-1-1-1222-1-12-1-122-1-1-1-1-1-10000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ3522-12-1-1-122-12-1-12-1-1-122-1-1-1-10000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000
χ3622-12-1-1-122-1-12-1-12-1-1-1-122-1-10000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i320000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i320000
χ3722-1-2-111-222-1-12-1-1-2-211111-10000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i320000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i320000
χ3822-1-2-111-22-12-1-12-111-2-2111-10000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i320000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i320000
χ3922-1-2-111-22-1-12-1-121111-2-21-10000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i320000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i320000
χ403333333-1-1000000000000-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i321+i321+i32
χ413333333-1-1000000000000-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i32−1−i32−1−i32
χ42333-33-3-31-10000000000001-11-1-11−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i32−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i32−1−i321+i321+i32−1−i32
χ43333-33-3-31-10000000000001-1-111-1−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i321−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i321+i32−1−i32−1−i321+i32
χ444-440-40000111-1-1-13−33−33−3000000−2+2i32−2i3−2+2i302−2i30000−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000−2−2i32+2i3−2−2i302+2i30000−1−i32−1−i32−1−i321+i321+i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000
χ454-440-40000111-1-1-1−33−33−33000000−2+2i32−2i3−2+2i302−2i30000−1+i32−1+i32−1+i321−i321−i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000−2−2i32+2i3−2−2i302+2i30000−1−i32−1−i32−1−i321+i321+i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000
χ464-440-40000-2-2-2222000000000000−2+2i32−2i3−2+2i302−2i300001−i31−i31−i3−1+i3−1+i3−1+i3000000000000−2−2i32+2i3−2−2i302+2i300001+i31+i31+i3−1−i3−1−i3−1−i3000000000000
χ474-4-20223−230011-2-1-123−3−3300000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100−1+i32−1+i321−i31−i321−i32−1+i3−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100−1−i32−1−i321+i31+i321+i32−1−i32ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ484-4-20223−23001-21-12-1−33003−3000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100−1+i321−i3−1+i321−i32−1+i31−i32ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11ζ7+2ζ11000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100−1−i321+i3−1−i321+i32−1−i31+i32−2ζ7−ζ112ζ7+ζ11002ζ7+ζ11−2ζ7−ζ11000000
χ494-4-20223−2300-2112-1-1003−3−33000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i32−1+i32−1+i31−i321−i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i32−1−i32−1−i31+i321+i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000
χ504-4-202−23230011-2-1-12−333−300000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100−1+i32−1+i321−i31−i321−i32−1+i3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100−1−i32−1−i321+i31+i321+i32−1−i3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ514-4-202−2323001-21-12-13−300−33000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100−1+i321−i3−1+i321−i32−1+i31−i32−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ11000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100−1−i321+i3−1−i321+i32−1−i31+i322ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ11000000
χ524-4-202−232300-2112-1-100−333−3000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i32−1+i32−1+i31−i321−i3200ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i32−1−i32−1−i31+i321+i3200−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000
χ5366-36-3-3-3-2-2000000000000110000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i320000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i320000
χ5466-3-6-3332-2000000000000-110000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i30000000000001−i32−1+i320000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i30000000000001+i32−1−i320000
χ55111111111111111111111111111−1−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−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−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+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+i32−1+i32
χ5611111111111111111111111-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+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+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−i321−i321−i321−i32
χ57111-11-1-1-11111111-1-1-1-1-1-1-111-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ58111-11-1-1-11111111-1-1-1-1-1-1-11-11-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ59222222222-1-1-1-1-1-1-1-1-1-1-1-1220000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i30000
χ60222-22-2-2-22-1-1-1-1-1-1111111-220000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000
χ6122-12-1-1-1222-1-12-1-122-1-1-1-1-1-10000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ6222-12-1-1-122-12-1-12-1-1-122-1-1-1-10000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000
χ6322-12-1-1-122-1-12-1-12-1-1-1-122-1-10000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i320000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i320000
χ6422-1-2-111-222-1-12-1-1-2-211111-10000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i320000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i320000
χ6522-1-2-111-22-12-1-12-111-2-2111-10000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i320000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i320000
χ6622-1-2-111-22-1-12-1-121111-2-21-10000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i320000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i320000
χ673333333-1-1000000000000-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i321−i321−i32
χ683333333-1-1000000000000-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i32−1+i32−1+i32
χ69333-33-3-31-10000000000001-11-1-11−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i32−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i32−1+i321−i321−i32−1+i32
χ70333-33-3-31-10000000000001-1-111-1−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i321+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i321−i32−1+i32−1+i321−i32
χ714-440-40000111-1-1-13−33−33−3000000−2−2i32+2i3−2−2i302+2i30000−1−i32−1−i32−1−i321+i321+i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i3−2+2i302−2i30000−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ724-440-40000111-1-1-1−33−33−33000000−2−2i32+2i3−2−2i302+2i30000−1−i32−1−i32−1−i321+i321+i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i3−2+2i302−2i30000−1+i32−1+i32−1+i321−i321−i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ734-440-40000-2-2-2222000000000000−2−2i32+2i3−2−2i302+2i300001+i31+i31+i3−1−i3−1−i3−1−i3000000000000−2+2i32−2i3−2+2i302−2i300001−i31−i31−i3−1+i3−1+i3−1+i3000000000000
χ744-4-20223−230011-2-1-123−3−3300000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100−1−i32−1−i321+i31+i321+i32−1−i32ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100−1+i32−1+i321−i31−i321−i32−1+i3−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ754-4-20223−23001-21-12-1−33003−3000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100−1−i321+i3−1−i321+i32−1−i31+i32−2ζ7−ζ112ζ7+ζ11002ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100−1+i321−i3−1+i321−i32−1+i31−i32ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11ζ7+2ζ11000000
χ764-4-20223−2300-2112-1-1003−3−33000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i32−1−i32−1−i31+i321+i32002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i32−1+i32−1+i31−i321−i3200−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ774-4-202−23230011-2-1-12−333−300000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100−1−i32−1−i321+i31+i321+i32−1−i3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100−1+i32−1+i321−i31−i321−i32−1+i3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ784-4-202−2323001-21-12-13−300−33000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100−1−i321+i3−1−i321+i32−1−i31+i322ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100−1+i321−i3−1+i321−i32−1+i31−i32−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ11000000
χ794-4-202−232300-2112-1-100−333−3000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i32−1−i32−1−i31+i321+i3200−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i32−1+i32−1+i31−i321−i3200ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ8066-36-3-3-3-2-2000000000000110000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i320000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i320000
χ8166-3-6-3332-2000000000000-110000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i30000000000001+i32−1−i320000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i30000000000001−i32−1+i320000

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