Finite Group Databasebeta

← Group #10596616

Character table — Group #10596616

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1344134426882688268826882688412161641216164121616391212391212618242461824246182424
order123322664412124412124412123633666612121212121212121212121222662266441212441212441212
χ1111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ5111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32
χ83-1003-1003-100-3100-31003-1003-1003-100-3100-31003-1003-1003-100-3100-3100
χ911111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32
χ1111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32
χ123-1003-100-31003-100-31003-1003-100-31003-100-31003-1003-100-31003-100-3100
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ1411−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32
χ1511−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32
χ163-1003-100-3100-31003-1003-1003-100-3100-31003-1003-1003-100-3100-31003-100
χ172222-2-2-2-20000000000002222-2-2-2-20000000000002222-2-2-2-2000000000000
χ1822−1+i3−1−i3-2-21−i31+i300000000000022−1+i3−1−i3-2-21−i31+i300000000000022−1+i3−1−i3-2-21−i31+i3000000000000
χ1922−1−i3−1+i3-2-21+i31−i300000000000022−1−i3−1+i3-2-21+i31−i300000000000022−1−i3−1+i3-2-21+i31−i3000000000000
χ206-200-62000000000000006-200-62000000000000006-200-6200000000000000
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ2311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ243-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100
χ25111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32
χ2711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32
χ283-1003-1003-100-3100-31003-1003-1003-100-3100-3100-3100-3100-31003-1003-100
χ2911111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ3011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32
χ3111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32
χ323-1003-100-31003-100-31003-1003-100-31003-100-3100-3100-31003-100-31003-100
χ3311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3411−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32
χ3511−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32
χ363-1003-100-3100-31003-1003-1003-100-3100-31003-100-3100-31003-1003-100-3100
χ372222-2-2-2-20000000000002222-2-2-2-2000000000000-2-2-2-22222000000000000
χ3822−1+i3−1−i3-2-21−i31+i300000000000022−1+i3−1−i3-2-21−i31+i3000000000000-2-21−i31+i322−1+i3−1−i3000000000000
χ3922−1−i3−1+i3-2-21+i31−i300000000000022−1−i3−1+i3-2-21+i31−i3000000000000-2-21+i31−i322−1−i3−1+i3000000000000
χ406-200-62000000000000006-200-6200000000000000-62006-200000000000000
χ4122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ4222−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3200000000000000000000
χ4322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3200000000000000000000
χ446-2006-2006-2006-2006-200-3100-3100-3100-3100-310000000000000000000000
χ45222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ4622−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3-2-21−i31+i3-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3200000000000000000000
χ4722−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3-2-21+i31−i3-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3200000000000000000000
χ486-2006-2006-200-6200-6200-3100-3100-31003-1003-10000000000000000000000
χ4922222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000
χ5022−1+i3−1−i322−1+i3−1−i3-2-21−i31+i322−1+i3−1−i3-2-21−i31+i3-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3200000000000000000000
χ5122−1−i3−1+i322−1−i3−1+i3-2-21+i31−i322−1−i3−1+i3-2-21+i31−i3-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3200000000000000000000
χ526-2006-200-62006-200-6200-3100-31003-100-31003-10000000000000000000000
χ5322222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ5422−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3-2-21−i31+i322−1+i3−1−i3-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3200000000000000000000
χ5522−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3-2-21+i31−i322−1−i3−1+i3-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3200000000000000000000
χ566-2006-200-6200-62006-200-3100-31003-1003-100-310000000000000000000000
χ574444-4-4-4-4000000000000-2-2-2-2222200000000000000000000000000000000
χ5844−2+2i3−2−2i3-4-42−2i32+2i3000000000000-2-21−i31+i322−1+i3−1−i300000000000000000000000000000000
χ5944−2−2i3−2+2i3-4-42+2i32−2i3000000000000-2-21+i31−i322−1−i3−1+i300000000000000000000000000000000
χ6012-400-12400000000000000-62006-20000000000000000000000000000000000

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