Finite Group Databasebeta

← Group #11921358

Character table — Group #11921358

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222224444444412121212336666666121212121212121236363636448888888161616161616161648484848448888888161616161616161648484848
order122223666246666121244442222266662466661212444436666366661266661212121212123666636666126666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1
χ4111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111
χ5111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i
χ6111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii
χ7111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii
χ8111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i
χ922222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000
χ1022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000
χ11222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000
χ12222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000
χ1322-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-200000000
χ1422-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000
χ1522-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000
χ1622-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-2200000000
χ1722-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000
χ1822-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000
χ194-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-4000000000000
χ204-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000
χ214-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000
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
χ24111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ25111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ26111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11
χ27111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11
χ28111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11
χ29111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11
χ3022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ3122222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ32222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i320000
χ33222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i320000
χ3422-22-22-2-22002-20000000022-22-22-2-22002-200000000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i300000000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i300000000
χ3522-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i323+i32−3−i323+i32−3−i320000−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i32−3+i323−i32−3+i323−i320000
χ3622-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i32−3−i323+i32−3−i323+i320000−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i323−i32−3+i323−i32−3+i320000
χ3722-2-222-2-2200-220000000022-2-222-2-2200-2200000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i300000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i300000000
χ3822-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i3200−1+i321−i323+i32−3−i32−3−i323+i320000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i3200−1−i321+i32−3+i323−i323−i32−3+i320000
χ3922-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i3200−1+i321−i32−3−i323+i323+i32−3−i320000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i3200−1−i321+i323−i32−3+i32−3+i323−i320000
χ404-4000400-40000000000004-4000400-4000000000000−2+2i32−2i3000−2+2i3002−2i3000000000000−2−2i32+2i3000−2−2i3002+2i3000000000000
χ414-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000−2+2i32−2i30001−i33+i3−3−i3−1+i3000000000000−2−2i32+2i30001+i3−3+i33−i3−1−i3000000000000
χ424-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000−2+2i32−2i30001−i3−3−i33+i3−1+i3000000000000−2−2i32+2i30001+i33−i3−3+i3−1−i3000000000000
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
χ45111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ46111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ47111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7
χ48111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7
χ49111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7
χ50111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ5122222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ5222222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ53222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i320000
χ54222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i320000
χ5522-22-22-2-22002-20000000022-22-22-2-22002-200000000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i300000000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i300000000
χ5622-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i32−3+i323−i32−3+i323−i320000−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i323+i32−3−i323+i32−3−i320000
χ5722-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i323−i32−3+i323−i32−3+i320000−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i32−3−i323+i32−3−i323+i320000
χ5822-2-222-2-2200-220000000022-2-222-2-2200-2200000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3001+i3−1−i300000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3001−i3−1+i300000000
χ5922-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i3200−1−i321+i32−3+i323−i323−i32−3+i320000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i3200−1+i321−i323+i32−3−i32−3−i323+i320000
χ6022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i3200−1−i321+i323−i32−3+i32−3+i323−i320000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i3200−1+i321−i32−3−i323+i323+i32−3−i320000
χ614-4000400-40000000000004-4000400-4000000000000−2−2i32+2i3000−2−2i3002+2i3000000000000−2+2i32−2i3000−2+2i3002−2i3000000000000
χ624-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000−2−2i32+2i30001+i3−3+i33−i3−1−i3000000000000−2+2i32−2i30001−i33+i3−3−i3−1+i3000000000000
χ634-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000−2−2i32+2i30001+i33−i3−3+i3−1−i3000000000000−2+2i32−2i30001−i3−3−i33+i3−1+i3000000000000
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
χ66333333333-3-333-3-3-3-333-3-3-1-1-1-1-1-1-1-1-111-1-11111-1-111000000000000000000000000000000000000000000
χ67333333333-3-333-3-3-3-3-3-333-1-1-1-1-1-1-1-1-111-1-1111111-1-1000000000000000000000000000000000000000000
χ68333-3-333333-3-3-333-3-33i−3i3i−3i-1-1-111-1-1-1-1-1111-1-111−ii−ii000000000000000000000000000000000000000000
χ69333-3-333333-3-3-333-3-3−3i3i−3i3i-1-1-111-1-1-1-1-1111-1-111i−ii−i000000000000000000000000000000000000000000
χ70333-3-33333-33-3-3-3-3333i−3i−3i3i-1-1-111-1-1-1-11-11111-1-1−iii−i000000000000000000000000000000000000000000
χ71333-3-33333-33-3-3-3-333−3i3i3i−3i-1-1-111-1-1-1-11-11111-1-1i−i−ii000000000000000000000000000000000000000000
χ7266666-3-3-3-366-3-3-3-3-3-30000-2-2-2-2-21111-2-21111110000000000000000000000000000000000000000000000
χ7366666-3-3-3-3-6-6-3-333330000-2-2-2-2-211112211-1-1-1-10000000000000000000000000000000000000000000000
χ74666-6-6-3-3-3-36-633-3-3330000-2-2-2221111-22-1-111-1-10000000000000000000000000000000000000000000000
χ75666-6-6-3-3-3-3-663333-3-30000-2-2-22211112-2-1-1-1-1110000000000000000000000000000000000000000000000
χ7666-66-66-6-66006-600000000-2-22-22-222-200-2200000000000000000000000000000000000000000000000000
χ7766-66-6-333-300-33−3i33i3−3i33i30000-2-22-221-1-11001-1i3−i3i3−i30000000000000000000000000000000000000000000000
χ7866-66-6-333-300-333i3−3i33i3−3i30000-2-22-221-1-11001-1−i3i3−i3i30000000000000000000000000000000000000000000000
χ7966-6-666-6-6600-6600000000-2-222-2-222-2002-200000000000000000000000000000000000000000000000000
χ8066-6-66-333-3003-3−3i33i33i3−3i30000-2-222-21-1-1100-11i3−i3−i3i30000000000000000000000000000000000000000000000
χ8166-6-66-333-3003-33i3−3i3−3i33i30000-2-222-21-1-1100-11−i3i3i3−i30000000000000000000000000000000000000000000000
χ8212-120001200-12000000000000-44000-4004000000000000000000000000000000000000000000000000000000
χ8312-12000-6−6i36i36000000000000-4400022i3−2i3-2000000000000000000000000000000000000000000000000000000
χ8412-12000-66i3−6i36000000000000-440002−2i32i3-2000000000000000000000000000000000000000000000000000000

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