Finite Group Databasebeta

← Group #88976

Character table — Group #88976

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size114444622888812331212121218114444622888812331212121218114444622888812331212121218
order1233664363366122266664363366123633661266666612363366123633661266666612
χ1111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ811111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1
χ112-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-10
χ122-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320
χ14330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001
χ152222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-10000000
χ1622−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000
χ1722−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000
χ184-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-100000000
χ194-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000
χ204-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000
χ21660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000
χ22111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32
χ2411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32
χ252-2-1-11102-2-1-11102-2-1-1110−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i320−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i320
χ262-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i3210−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i320
χ272-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i320−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i3210
χ28330000-1330000-1330000-1−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i32−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i32
χ2911111111111111-1-1-1-1-1-1-1−1+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−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ3011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i32-11+i32-11−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321+i321+i32-11−i32-11−i321+i32
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−i321−i32-11+i32-11+i321−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i32-11−i32-11+i32
χ322-2-1-11102-2-1-1110-2211-1-10−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i3201−i3−1+i3−1+i32−1+i321−i321−i320−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i3201+i3−1−i3−1−i32−1−i321+i321+i320
χ332-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i32101−i3−1+i3−1−i3211+i32-10−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i3201+i3−1−i31−1+i32-11−i320
χ342-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i3201−i3−1+i31−1−i32-11+i320−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i32101+i3−1−i3−1+i3211−i32-10
χ35330000-1330000-1-3-300001−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i323−3i323−3i320000−1+i32−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i323+3i323+3i320000−1−i32
χ362222222-1-1-1-1-1-1-10000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i320000000
χ3722−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000−1+i3−1+i3−1−i32−1−i32−1+i31−i321−i321+i32-11+i32-11−i320000000−1−i3−1−i32−1+i32−1+i3−1−i31+i321+i32-11−i32-11−i321+i320000000
χ3822−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000−1+i3−1+i32−1−i32−1−i3−1+i31−i321−i32-11+i32-11+i321−i320000000−1−i3−1−i3−1+i32−1+i32−1−i31+i321+i321−i32-11−i32-11+i320000000
χ394-4-2-2220-2211-1-100000000−2+2i32−2i31−i31−i3−1+i3−1+i301−i3−1+i3−1+i32−1+i321−i321−i3200000000−2−2i32+2i31+i31+i3−1−i3−1−i301+i3−1−i3−1−i32−1−i321+i321+i3200000000
χ404-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000−2+2i32−2i31+i3-2−1−i3201−i3−1+i3−1−i3211+i32-100000000−2−2i32+2i3-21−i32−1+i301+i3−1−i31−1+i32-11−i3200000000
χ414-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000−2+2i32−2i3-21+i32−1−i301−i3−1+i31−1−i32-11+i3200000000−2−2i32+2i31−i3-2−1+i3201+i3−1−i3−1+i3211−i32-100000000
χ42660000-2-3-3000010000000−3+3i3−3+3i300001−i33−3i323−3i320000−1+i320000000−3−3i3−3−3i300001+i33+3i323+3i320000−1−i320000000
χ43111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4411−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32
χ4511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32
χ462-2-1-11102-2-1-11102-2-1-1110−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i320−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i320
χ472-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i320−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i3210
χ482-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i3210−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i320
χ49330000-1330000-1330000-1−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i32−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i32
χ5011111111111111-1-1-1-1-1-1-1−1−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+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32
χ5111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321+i321+i32-11−i32-11−i321+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i32-11+i32-11−i32
χ5211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i32-11−i32-11+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−i321−i32-11+i32-11+i321−i32
χ532-2-1-11102-2-1-1110-2211-1-10−1−i31+i31+i321+i32−1−i32−1−i320−1−i31+i31+i321+i32−1−i32−1−i3201+i3−1−i3−1−i32−1−i321+i321+i320−1+i31−i31−i321−i32−1+i32−1+i320−1+i31−i31−i321−i32−1+i32−1+i3201−i3−1+i3−1+i32−1+i321−i321−i320
χ542-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−1−i31+i3-11−i321−1+i320−1−i31+i3-11−i321−1+i3201+i3−1−i31−1+i32-11−i320−1+i31−i31+i32-1−1−i3210−1+i31−i31+i32-1−1−i32101−i3−1+i3−1−i3211+i32-10
χ552-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320−1−i31+i31−i32-1−1+i3210−1−i31+i31−i32-1−1+i32101+i3−1−i3−1+i3211−i32-10−1+i31−i3-11+i321−1−i320−1+i31−i3-11+i321−1−i3201−i3−1+i31−1−i32-11+i320
χ56330000-1330000-1-3-300001−3−3i32−3−3i3200001+i32−3−3i32−3−3i3200001+i323+3i323+3i320000−1−i32−3+3i32−3+3i3200001−i32−3+3i32−3+3i3200001−i323−3i323−3i320000−1+i32
χ572222222-1-1-1-1-1-1-10000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000000
χ5822−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000−1−i3−1−i32−1+i32−1+i3−1−i31+i321+i32-11−i32-11−i321+i320000000−1+i3−1+i3−1−i32−1−i32−1+i31−i321−i321+i32-11+i32-11−i320000000
χ5922−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000−1−i3−1−i3−1+i32−1+i32−1−i31+i321+i321−i32-11−i32-11+i320000000−1+i3−1+i32−1−i32−1−i3−1+i31−i321−i32-11+i32-11+i321−i320000000
χ604-4-2-2220-2211-1-100000000−2−2i32+2i31+i31+i3−1−i3−1−i301+i3−1−i3−1−i32−1−i321+i321+i3200000000−2+2i32−2i31−i31−i3−1+i3−1+i301−i3−1+i3−1+i32−1+i321−i321−i3200000000
χ614-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000−2−2i32+2i3-21−i32−1+i301+i3−1−i31−1+i32-11−i3200000000−2+2i32−2i31+i3-2−1−i3201−i3−1+i3−1−i3211+i32-100000000
χ624-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000−2−2i32+2i31−i3-2−1+i3201+i3−1−i3−1+i3211−i32-100000000−2+2i32−2i3-21+i32−1−i301−i3−1+i31−1−i32-11+i3200000000
χ63660000-2-3-3000010000000−3−3i3−3−3i300001+i33+3i323+3i320000−1−i320000000−3+3i3−3+3i300001−i33−3i323−3i320000−1+i320000000

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