Finite Group Databasebeta

← Group #13091391

Character table — Group #13091391

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size12222222222222666666666666666666666666666666666666991818181818181818181818181818181818181818181818181818243243243
order133333333333333333333333333333333333333333333333333333333333333333333333333333266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1
χ311111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32
χ411111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32
χ511111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32
χ611111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32
χ722222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000
χ822222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000
χ922222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000
χ1022222222222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1000
χ1122222222222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000
χ1222222222222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000
χ1322222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1000
χ1422222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000
χ1522222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000
χ1622222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222000
χ1722222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222−1+i3−1−i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000
χ1822222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222−1−i3−1+i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000
χ1922222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-12-1-1000
χ2022222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000
χ2122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000
χ2222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-122-12-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1000
χ2322222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000
χ2422222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000
χ2522222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122222-12-1-1-1-12-1-12-1-12-12-1-1-1-12-1-12-1-12000
χ2622222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222−1+i3−1−i31−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000
χ2722222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222−1−i3−1+i31+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000
χ2822222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122222-1-12-12-1-1-12-1-1-12-1-12-12-1-1-12-1-1-12000
χ2922222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000
χ3022222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000
χ3122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-12-1-12-1-1-122-1-1-1-12-1-12-1-1-122-1-1000
χ3222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000
χ3322222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000
χ3422222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-122-1-12-1-1-122-1-1-12-1-1-12-1-1-122-1-1-12-1000
χ3522222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32000
χ3622222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32000
χ3722222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-122-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-12-12-1000
χ3822222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1−1+i3−1−i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32000
χ3922222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1−1−i3−1+i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32000
χ4022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-12-12-1-1-1-12-1-1-12-12-12-1-1-1-12000
χ4122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3000
χ4222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3000
χ4322222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-12-12-12-1-1-1-1-12-1-12-12-12-1-1000
χ4422222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32000
χ4522222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32000
χ4666-3-3-3666-3-3-3-3-3-30000000000000000000000000006-3-36-3-36-3-30000000000000000000000000000000
χ4766-3-3-3666-3-3-3-3-3-3000000000000000000000000000-36-3-36-3-36-30000000000000000000000000000000
χ4866-3-3-3666-3-3-3-3-3-3000000000000000000000000000-3-36-3-36-3-360000000000000000000000000000000
χ4966-3-3-3-3-3-3666-3-3-30000000000000000000000000006-3-3-36-3-3-360000000000000000000000000000000
χ5066-3-3-3-3-3-3666-3-3-3000000000000000000000000000-36-3-3-366-3-30000000000000000000000000000000
χ5166-3-3-3-3-3-3666-3-3-3000000000000000000000000000-3-366-3-3-36-30000000000000000000000000000000
χ5266-3-3-3-3-3-3-3-3-36660000000000000000000000000006-3-3-3-36-36-30000000000000000000000000000000
χ5366-3-3-3-3-3-3-3-3-3666000000000000000000000000000-36-36-3-3-3-360000000000000000000000000000000
χ5466-3-3-3-3-3-3-3-3-3666000000000000000000000000000-3-36-36-36-3-30000000000000000000000000000000
χ556-36-3-36-3-36-3-36-3-30000000000000000006-3-36-3-36-3-30000000000000000000000000000000000000000
χ566-36-3-36-3-36-3-36-3-3000000000000000000-36-3-36-3-36-30000000000000000000000000000000000000000
χ576-36-3-36-3-36-3-36-3-3000000000000000000-3-36-3-36-3-360000000000000000000000000000000000000000
χ586-36-3-3-36-3-36-3-36-30000000000000000006-3-3-36-3-3-360000000000000000000000000000000000000000
χ596-36-3-3-36-3-36-3-36-3000000000000000000-36-3-3-366-3-30000000000000000000000000000000000000000
χ606-36-3-3-36-3-36-3-36-3000000000000000000-3-366-3-3-36-30000000000000000000000000000000000000000
χ616-36-3-3-3-36-3-36-3-360000000000000000006-3-3-3-36-36-30000000000000000000000000000000000000000
χ626-36-3-3-3-36-3-36-3-36000000000000000000-36-36-3-3-3-360000000000000000000000000000000000000000
χ636-36-3-3-3-36-3-36-3-36000000000000000000-3-36-36-36-3-30000000000000000000000000000000000000000
χ646-3-36-36-3-3-36-3-3-360000000006-3-36-3-36-3-30000000000000000000000000000000000000000000000000
χ656-3-36-36-3-3-36-3-3-36000000000-36-3-36-3-36-30000000000000000000000000000000000000000000000000
χ666-3-36-36-3-3-36-3-3-36000000000-3-36-3-36-3-360000000000000000000000000000000000000000000000000
χ676-3-36-3-36-3-3-366-3-30000000006-3-3-36-3-3-360000000000000000000000000000000000000000000000000
χ686-3-36-3-36-3-3-366-3-3000000000-36-3-3-366-3-30000000000000000000000000000000000000000000000000
χ696-3-36-3-36-3-3-366-3-3000000000-3-366-3-3-36-30000000000000000000000000000000000000000000000000
χ706-3-36-3-3-366-3-3-36-30000000006-3-3-3-36-36-30000000000000000000000000000000000000000000000000
χ716-3-36-3-3-366-3-3-36-3000000000-36-36-3-3-3-360000000000000000000000000000000000000000000000000
χ726-3-36-3-3-366-3-3-36-3000000000-3-36-36-36-3-30000000000000000000000000000000000000000000000000
χ736-3-3-366-3-3-3-36-36-36-3-36-3-36-3-30000000000000000000000000000000000000000000000000000000000
χ746-3-3-366-3-3-3-36-36-3-36-3-36-3-36-30000000000000000000000000000000000000000000000000000000000
χ756-3-3-366-3-3-3-36-36-3-3-36-3-36-3-360000000000000000000000000000000000000000000000000000000000
χ766-3-3-36-36-36-3-3-3-366-3-3-36-3-3-360000000000000000000000000000000000000000000000000000000000
χ776-3-3-36-36-36-3-3-3-36-36-3-3-366-3-30000000000000000000000000000000000000000000000000000000000
χ786-3-3-36-36-36-3-3-3-36-3-366-3-3-36-30000000000000000000000000000000000000000000000000000000000
χ796-3-3-36-3-36-36-36-3-36-3-3-3-36-36-30000000000000000000000000000000000000000000000000000000000
χ806-3-3-36-3-36-36-36-3-3-36-36-3-3-3-360000000000000000000000000000000000000000000000000000000000
χ816-3-3-36-3-36-36-36-3-3-3-36-36-36-3-30000000000000000000000000000000000000000000000000000000000

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