Finite Group Databasebeta

← Group #11923381

Character table — Group #11923381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222224444444412121212336666666121212121212121236363636448888888161616161616161648484848448888888161616161616161648484848
order122344612122466612121222882226446121224666121212228836631212612126126661212126624243663121261212612666121212662424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111-1-11-1-11-1-111-1-1111111111-1-11-1-11-1-111-1-1111111111-1-11-1-11-1-111-1-1111111111-1-11-1-11-1-111-1-1
χ4111111111-1-11-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-111
χ511-11-111-1-11-1-1111-1-11-11-111-11-111-1-11-1-1111-1-11-11-111-11-111-1-11-1-1111-1-11-11-111-11-111-1-11-1-1111-1-11-11-1
χ611-11-111-1-11-1-1111-1-1-11-1111-11-111-1-11-1-1111-1-1-11-1111-11-111-1-11-1-1111-1-1-11-1111-11-111-1-11-1-1111-1-1-11-11
χ711-11-111-1-1-11-1-1-11111-1-1111-11-111-1-1-11-1-1-11111-1-1111-11-111-1-1-11-1-1-11111-1-1111-11-111-1-1-11-1-1-11111-1-11
χ811-11-111-1-1-11-1-1-1111-111-111-11-111-1-1-11-1-1-1111-111-111-11-111-1-1-11-1-1-1111-111-111-11-111-1-1-11-1-1-1111-111-1
χ92222-2-22-2-200200-20000002222-2-22-2-200200-20000002222-2-22-2-200200-20000002222-2-22-2-200200-2000000
χ10222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000
χ11222-122-1-1-1-2-2-111-1110000222-122-1-1-1-2-2-111-1110000222-122-1-1-1-2-2-111-1110000222-122-1-1-1-2-2-111-1110000
χ12222-1-2-2-11100-1−i3i31−i3i30000222-1-2-2-11100-1−i3i31−i3i30000222-1-2-2-11100-1−i3i31−i3i30000222-1-2-2-11100-1−i3i31−i3i30000
χ13222-1-2-2-11100-1i3−i31i3−i30000222-1-2-2-11100-1i3−i31i3−i30000222-1-2-2-11100-1i3−i31i3−i30000222-1-2-2-11100-1i3−i31i3−i30000
χ1422-222-222200-200-200000022-222-222200-200-200000022-222-222200-200-200000022-222-222200-200-2000000
χ1522-2-12-2-1-1-1001−i3i31i3−i3000022-2-12-2-1-1-1001−i3i31i3−i3000022-2-12-2-1-1-1001−i3i31i3−i3000022-2-12-2-1-1-1001−i3i31i3−i30000
χ1622-2-12-2-1-1-1001i3−i31−i3i3000022-2-12-2-1-1-1001i3−i31−i3i3000022-2-12-2-1-1-1001i3−i31−i3i3000022-2-12-2-1-1-1001i3−i31−i3i30000
χ1722-2-1-22-1112-21-1-1-111000022-2-1-22-1112-21-1-1-111000022-2-1-22-1112-21-1-1-111000022-2-1-22-1112-21-1-1-1110000
χ1822-2-1-22-111-22111-1-1-1000022-2-1-22-111-22111-1-1-1000022-2-1-22-111-22111-1-1-1000022-2-1-22-111-22111-1-1-10000
χ194-40400-4000000000000004-40400-4000000000000004-40400-4000000000000004-40400-400000000000000
χ204-40-200223−230000000000004-40-200223−230000000000004-40-200223−230000000000004-40-200223−23000000000000
χ214-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−2323000000000000
χ22111111111111111111111111111111111111111111−1+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
χ2311111111111111111-1-1-1-111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ24111111111-1-11-1-11-1-111-1-1111111111-1-11-1-11-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ25111111111-1-11-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ2611-11-111-1-11-1-1111-1-11-11-111-11-111-1-11-1-1111-1-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ2711-11-111-1-11-1-1111-1-1-11-1111-11-111-1-11-1-1111-1-1-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ2811-11-111-1-1-11-1-1-11111-1-1111-11-111-1-1-11-1-1-11111-1-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ2911-11-111-1-1-11-1-1-1111-111-111-11-111-1-1-11-1-1-1111-111-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ302222-2-22-2-200200-20000002222-2-22-2-200200-2000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300−1+i3001−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300−1−i3001+i3000000
χ31222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ32222-122-1-1-1-2-2-111-1110000222-122-1-1-1-2-2-111-1110000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i320000
χ33222-1-2-2-11100-1−i3i31−i3i30000222-1-2-2-11100-1−i3i31−i3i30000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i320000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i320000
χ34222-1-2-2-11100-1i3−i31i3−i30000222-1-2-2-11100-1i3−i31i3−i30000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i320000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i320000
χ3522-222-222200-200-200000022-222-222200-200-2000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3001−i3001−i3000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3001+i3001+i3000000
χ3622-2-12-2-1-1-1001−i3i31i3−i3000022-2-12-2-1-1-1001−i3i31i3−i30000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i320000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i320000
χ3722-2-12-2-1-1-1001i3−i31−i3i3000022-2-12-2-1-1-1001i3−i31−i3i30000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i320000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i320000
χ3822-2-1-22-1112-21-1-1-111000022-2-1-22-1112-21-1-1-1110000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i320000
χ3922-2-1-22-111-22111-1-1-1000022-2-1-22-111-22111-1-1-10000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i320000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i320000
χ404-40400-4000000000000004-40400-400000000000000−2+2i32−2i30−2+2i3002−2i300000000000000−2−2i32+2i30−2−2i3002+2i300000000000000
χ414-40-200223−230000000000004-40-200223−23000000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11000000000000
χ424-40-2002−23230000000000004-40-2002−2323000000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11000000000000
χ43111111111111111111111111111111111111111111−1−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
χ4411111111111111111-1-1-1-111111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ45111111111-1-11-1-11-1-111-1-1111111111-1-11-1-11-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ46111111111-1-11-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ4711-11-111-1-11-1-1111-1-11-11-111-11-111-1-11-1-1111-1-11-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ4811-11-111-1-11-1-1111-1-1-11-1111-11-111-1-11-1-1111-1-1-11-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ4911-11-111-1-1-11-1-1-11111-1-1111-11-111-1-1-11-1-1-11111-1-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ5011-11-111-1-1-11-1-1-1111-111-111-11-111-1-1-11-1-1-1111-111-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ512222-2-22-2-200200-20000002222-2-22-2-200200-2000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300−1−i3001+i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300−1+i3001−i3000000
χ52222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ53222-122-1-1-1-2-2-111-1110000222-122-1-1-1-2-2-111-1110000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i320000
χ54222-1-2-2-11100-1−i3i31−i3i30000222-1-2-2-11100-1−i3i31−i3i30000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32001+i32−3+i323−i32−1−i32−3+i323−i320000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32001−i323+i32−3−i32−1+i323+i32−3−i320000
χ55222-1-2-2-11100-1i3−i31i3−i30000222-1-2-2-11100-1i3−i31i3−i30000−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i32−1−i32001+i323−i32−3+i32−1−i323−i32−3+i320000−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i32−1+i32001−i32−3−i323+i32−1+i32−3−i323+i320000
χ5622-222-222200-200-200000022-222-222200-200-2000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3001+i3001+i3000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3001−i3001−i3000000
χ5722-2-12-2-1-1-1001−i3i31i3−i3000022-2-12-2-1-1-1001−i3i31i3−i30000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i3200−1−i32−3+i323−i32−1−i323−i32−3+i320000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i3200−1+i323+i32−3−i32−1+i32−3−i323+i320000
χ5822-2-12-2-1-1-1001i3−i31−i3i3000022-2-12-2-1-1-1001i3−i31−i3i30000−1−i3−1−i31+i31+i32−1−i31+i31+i321+i321+i3200−1−i323−i32−3+i32−1−i32−3+i323−i320000−1+i3−1+i31−i31−i32−1+i31−i31−i321−i321−i3200−1+i32−3−i323+i32−1+i323+i32−3−i320000
χ5922-2-1-22-1112-21-1-1-111000022-2-1-22-1112-21-1-1-1110000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i32−1−i31+i3−1−i321+i321+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i32−1+i31−i3−1+i321−i321−i321−i32−1+i32−1+i320000
χ6022-2-1-22-111-22111-1-1-1000022-2-1-22-111-22111-1-1-10000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i320000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i320000
χ614-40400-4000000000000004-40400-400000000000000−2−2i32+2i30−2−2i3002+2i300000000000000−2+2i32−2i30−2+2i3002−2i300000000000000
χ624-40-200223−230000000000004-40-200223−23000000000000−2−2i32+2i301+i300−1−i34ζ7+2ζ11−4ζ7−2ζ11000000000000−2+2i32−2i301−i300−1+i3−2ζ7−4ζ112ζ7+4ζ11000000000000
χ634-40-2002−23230000000000004-40-2002−2323000000000000−2−2i32+2i301+i300−1−i3−4ζ7−2ζ114ζ7+2ζ11000000000000−2+2i32−2i301−i300−1+i32ζ7+4ζ11−2ζ7−4ζ11000000000000
χ64333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6533333333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ66333333333-3-33-3-33-3-333-3-3-1-1-1-1-1-1-1-1-111-111-111-1-111000000000000000000000000000000000000000000
χ67333333333-3-33-3-33-3-3-3-333-1-1-1-1-1-1-1-1-111-111-11111-1-1000000000000000000000000000000000000000000
χ6833-33-333-3-33-3-3333-3-33-33-3-1-11-11-1-111-111-1-1-111-11-11000000000000000000000000000000000000000000
χ6933-33-333-3-33-3-3333-3-3-33-33-1-11-11-1-111-111-1-1-1111-11-1000000000000000000000000000000000000000000
χ7033-33-333-3-3-33-3-3-33333-3-33-1-11-11-1-1111-1111-1-1-1-111-1000000000000000000000000000000000000000000
χ7133-33-333-3-3-33-3-3-3333-333-3-1-11-11-1-1111-1111-1-1-11-1-11000000000000000000000000000000000000000000
χ726666-6-66-6-600600-6000000-2-2-2-222-22200-2002000000000000000000000000000000000000000000000000
χ73666-366-3-3-366-3-3-3-3-3-30000-2-2-21-2-2111-2-21111110000000000000000000000000000000000000000000000
χ74666-366-3-3-3-6-6-333-3330000-2-2-21-2-2111221-1-11-1-10000000000000000000000000000000000000000000000
χ75666-3-6-6-33300-3−3i33i33−3i33i30000-2-2-21221-1-1001i3−i3-1i3−i30000000000000000000000000000000000000000000000
χ76666-3-6-6-33300-33i3−3i333i3−3i30000-2-2-21221-1-1001−i3i3-1−i3i30000000000000000000000000000000000000000000000
χ7766-666-666600-600-6000000-2-22-2-22-2-2-2002002000000000000000000000000000000000000000000000000
χ7866-6-36-6-3-3-3003−3i33i333i3−3i30000-2-221-2211100-1i3−i3-1−i3i30000000000000000000000000000000000000000000000
χ7966-6-36-6-3-3-30033i3−3i33−3i33i30000-2-221-2211100-1−i3i3-1i3−i30000000000000000000000000000000000000000000000
χ8066-6-3-66-3336-63-3-3-3330000-2-2212-21-1-1-22-1111-1-10000000000000000000000000000000000000000000000
χ8166-6-3-66-333-66333-3-3-30000-2-2212-21-1-12-2-1-1-11110000000000000000000000000000000000000000000000
χ8212-1201200-1200000000000000-440-400400000000000000000000000000000000000000000000000000000000
χ8312-120-600663−63000000000000-440200-2−2323000000000000000000000000000000000000000000000000000000
χ8412-120-6006−6363000000000000-440200-223−23000000000000000000000000000000000000000000000000000000

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