Finite Group Databasebeta

← Group #13057481

Character table — Group #13057481

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122244666677771212121212121414141414142828282828282828282828282828282811222446666777712121212121214141414141428282828282828282828282828282828
order1224488714282833661428565656566612121212244466121212121212242424242224488141428286666142856565656661212121224446612121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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+i32
χ411111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ511111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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−i32
χ611111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ711111-1-11111111111-1-1-1-111111111-1-1111-1-11-1-1-1-1-1-111111-1-11111111111-1-1-1-111111111-1-1111-1-11-1-1-1-1-1-1
χ811111-1-11111111111-1-1-1-1111111-1-111-1-1-111-111-1-1-1-111111-1-11111111111-1-1-1-1111111-1-111-1-1-111-111-1-1-1-1
χ911111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i32
χ1011111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i321−i321−i32
χ1111111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i32
χ1211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i321+i321+i32
χ1311-1-111-111111111-1-111-1-1-1-1-1-1111-11-111-11-1-11-11-11-111-1-111-111111111-1-111-1-1-1-1-1-1111-11-111-11-1-11-11-11-1
χ1411-1-111-111111111-1-111-1-1-1-1-1-111-11-11-1-11-111-111-11-111-1-111-111111111-1-111-1-1-1-1-1-111-11-11-1-11-111-111-11-1
χ1511-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1+i321−i3211-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32
χ1611-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i3211-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i32
χ1711-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1−i321+i3211-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32
χ1811-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i3211-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i32
χ1911-1-11-1111111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11-11-1111-1-11-1111111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11-11-11
χ2011-1-11-1111111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1-11-1111-1-11-1111111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1-11-11
χ2111-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i32−1−i321−i32−1+i3211-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ2211-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i3211-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ2311-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i32−1+i321+i32−1−i3211-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ2411-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i3211-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ25222-2-20022-2-222222-2000022-2-2-2-20000000000000000222-2-20022-2-222222-2000022-2-2-2-20000000000000000
χ26222-2-20022-2-2−1−i3−1+i3−1−i3−1+i32-20000−1−i3−1+i31+i31−i31+i31−i30000000000000000222-2-20022-2-2−1−i3−1+i3−1−i3−1+i32-20000−1−i3−1+i31+i31−i31+i31−i30000000000000000
χ27222-2-20022-2-2−1+i3−1−i3−1+i3−1−i32-20000−1+i3−1−i31−i31+i31−i31+i30000000000000000222-2-20022-2-2−1+i3−1−i3−1+i3−1−i32-20000−1+i3−1−i31−i31+i31−i31+i30000000000000000
χ2822-22-20022-2-22222-220000-2-222-2-2000000000000000022-22-20022-2-22222-220000-2-222-2-20000000000000000
χ2922-22-20022-2-2−1−i3−1+i3−1−i3−1+i3-2200001+i31−i3−1−i3−1+i31+i31−i3000000000000000022-22-20022-2-2−1−i3−1+i3−1−i3−1+i3-2200001+i31−i3−1−i3−1+i31+i31−i30000000000000000
χ3022-22-20022-2-2−1+i3−1−i3−1+i3−1−i3-2200001−i31+i3−1+i3−1−i31−i31+i3000000000000000022-22-20022-2-2−1+i3−1−i3−1+i3−1−i3-2200001−i31+i3−1+i3−1−i31−i31+i30000000000000000
χ314-4000004-40044-4-400000000000000000000000000004-4000004-40044-4-40000000000000000000000000000
χ324-4000004-400−2−2i3−2+2i32+2i32−2i300000000000000000000000000004-4000004-400−2−2i3−2+2i32+2i32−2i30000000000000000000000000000
χ334-4000004-400−2+2i3−2−2i32−2i32+2i300000000000000000000000000004-4000004-400−2+2i3−2−2i32−2i32+2i30000000000000000000000000000
χ346666666-1-1-1-10000-1-1-1-1-1-100000000000000000000006666666-1-1-1-10000-1-1-1-1-1-10000000000000000000000
χ3566666-6-6-1-1-1-10000-1-11111000000000000000000000066666-6-6-1-1-1-10000-1-111110000000000000000000000
χ36666-6-600-1-1110000-117−77−70000000000000000000000666-6-600-1-1110000-117−77−70000000000000000000000
χ37666-6-600-1-1110000-11−77−770000000000000000000000666-6-600-1-1110000-11−77−770000000000000000000000
χ3866-66-600-1-11100001-17−7−77000000000000000000000066-66-600-1-11100001-17−7−770000000000000000000000
χ3966-66-600-1-11100001-1−777−7000000000000000000000066-66-600-1-11100001-1−777−70000000000000000000000
χ4066-6-666-6-1-1-1-1000011-1-111000000000000000000000066-6-666-6-1-1-1-1000011-1-1110000000000000000000000
χ4166-6-66-66-1-1-1-100001111-1-1000000000000000000000066-6-66-66-1-1-1-100001111-1-10000000000000000000000
χ4212-1200000-2227−270000000000000000000000000000000012-1200000-2227−2700000000000000000000000000000000
χ4312-1200000-22−27270000000000000000000000000000000012-1200000-22−272700000000000000000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ45111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4611111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i32
χ4711111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32
χ4811111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32
χ4911111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32
χ5011111-1-11111111111-1-1-1-111111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1111111
χ5111111-1-11111111111-1-1-1-1111111-1-111-1-1-111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-1-11111
χ5211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i32-1-111111+i321−i321+i321−i321+i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ5311111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i32-1-111111+i321−i321+i321−i321+i321−i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ5411111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i32-1-111111−i321+i321−i321+i321−i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ5511111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i32-1-111111−i321+i321−i321+i321−i321+i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ5611-1-111-111111111-1-111-1-1-1-1-1-1111-11-111-11-1-11-11-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-11-11-1-11-111-11-11-11
χ5711-1-111-111111111-1-111-1-1-1-1-1-111-11-11-1-11-111-111-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-11-11-111-11-1-11-1-11-11
χ5811-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32-1-111-1-11-1-1-1-11+i321−i321+i321−i3211-1-111−1−i32−1+i32−1−i32−1+i321+i321−i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321−i32−1+i32
χ5911-1-111-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i32-1-111-1-11-1-1-1-11+i321−i321+i321−i3211-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321−i32−1+i32
χ6011-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32-1-111-1-11-1-1-1-11−i321+i321−i321+i3211-1-111−1+i32−1−i32−1+i32−1−i321−i321+i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321+i32−1−i32
χ6111-1-111-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i32-1-111-1-11-1-1-1-11−i321+i321−i321+i3211-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321+i32−1−i32
χ6211-1-11-1111111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11-11-11-1-111-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-111-111-11-11-1
χ6311-1-11-1111111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1-11-11-1-111-11-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-11-1-111-11-1
χ6411-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i32−1−i321−i32−1+i32-1-111-11-1-1-1-1-11+i321−i321+i321−i321111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ6511-1-11-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i32-1-111-11-1-1-1-1-11+i321−i321+i321−i321111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ6611-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i32−1+i321+i32−1−i32-1-111-11-1-1-1-1-11−i321+i321−i321+i321111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ6711-1-11-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i32−1+i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i32-1-111-11-1-1-1-1-11−i321+i321−i321+i321111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ68222-2-20022-2-222222-2000022-2-2-2-20000000000000000-2-2-22200-2-222-2-2-2-2-220000-2-222220000000000000000
χ69222-2-20022-2-2−1−i3−1+i3−1−i3−1+i32-20000−1−i3−1+i31+i31−i31+i31−i30000000000000000-2-2-22200-2-2221+i31−i31+i31−i3-2200001+i31−i3−1−i3−1+i3−1−i3−1+i30000000000000000
χ70222-2-20022-2-2−1+i3−1−i3−1+i3−1−i32-20000−1+i3−1−i31−i31+i31−i31+i30000000000000000-2-2-22200-2-2221−i31+i31−i31+i3-2200001−i31+i3−1+i3−1−i3−1+i3−1−i30000000000000000
χ7122-22-20022-2-22222-220000-2-222-2-20000000000000000-2-22-2200-2-222-2-2-2-22-2000022-2-2220000000000000000
χ7222-22-20022-2-2−1−i3−1+i3−1−i3−1+i3-2200001+i31−i3−1−i3−1+i31+i31−i30000000000000000-2-22-2200-2-2221+i31−i31+i31−i32-20000−1−i3−1+i31+i31−i3−1−i3−1+i30000000000000000
χ7322-22-20022-2-2−1+i3−1−i3−1+i3−1−i3-2200001−i31+i3−1+i3−1−i31−i31+i30000000000000000-2-22-2200-2-2221−i31+i31−i31+i32-20000−1+i3−1−i31−i31+i3−1+i3−1−i30000000000000000
χ744-4000004-40044-4-40000000000000000000000000000-4400000-4400-4-4440000000000000000000000000000
χ754-4000004-400−2−2i3−2+2i32+2i32−2i30000000000000000000000000000-4400000-44002+2i32−2i3−2−2i3−2+2i30000000000000000000000000000
χ764-4000004-400−2+2i3−2−2i32−2i32+2i30000000000000000000000000000-4400000-44002−2i32+2i3−2+2i3−2−2i30000000000000000000000000000
χ776666666-1-1-1-10000-1-1-1-1-1-10000000000000000000000-6-6-6-6-6-6-6111100001111110000000000000000000000
χ7866666-6-6-1-1-1-10000-1-111110000000000000000000000-6-6-6-6-6661111000011-1-1-1-10000000000000000000000
χ79666-6-600-1-1110000-117−77−70000000000000000000000-6-6-6660011-1-100001-1−77−770000000000000000000000
χ80666-6-600-1-1110000-11−77−770000000000000000000000-6-6-6660011-1-100001-17−77−70000000000000000000000
χ8166-66-600-1-11100001-17−7−770000000000000000000000-6-66-660011-1-10000-11−777−70000000000000000000000
χ8266-66-600-1-11100001-1−777−70000000000000000000000-6-66-660011-1-10000-117−7−770000000000000000000000
χ8366-6-666-6-1-1-1-1000011-1-1110000000000000000000000-6-666-6-6611110000-1-111-1-10000000000000000000000
χ8466-6-66-66-1-1-1-100001111-1-10000000000000000000000-6-666-66-611110000-1-1-1-1110000000000000000000000
χ8512-1200000-2227−2700000000000000000000000000000000-1212000002-2−272700000000000000000000000000000000
χ8612-1200000-22−272700000000000000000000000000000000-1212000002-227−2700000000000000000000000000000000

Here i is the imaginary unit (i² = −1).