Finite Group Databasebeta

← Group #88721

Character table — Group #88721

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size12336669991233666999246612121218181824661212121818182466121212181818
order13333332662666666266412121212121241212412121212121241212412121212121241212
χ111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ72222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000
χ922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000
χ106-3000000006-3000000006-3000000006-3000000006-300000000
χ11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ1311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i32
χ1411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32
χ1511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i32
χ1611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32
χ172222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ1822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i32000
χ1922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i32000
χ206-3000000006-3000000006-300000000-6300000000-6300000000
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ2311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32
χ2411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32
χ2511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32
χ2611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32
χ272222-1-1-10002222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000
χ2822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000
χ2922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000
χ306-3000000006-300000000-63000000006-300000000-6300000000
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ321111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1
χ3311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ3411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ3511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ3611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ372222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-1000
χ3822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000
χ3922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000
χ406-3000000006-300000000-6300000000-63000000006-300000000
χ412222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ422222222-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000
χ4322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-2-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000
χ4422−1+i3−1−i32−1+i3−1−i3-21−i31+i3-2-21−i31+i3-21−i31+i32−1+i3−1−i3000000000000000000000000000000
χ4522−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-2-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000
χ4622−1−i3−1+i32−1−i3−1+i3-21+i31−i3-2-21+i31−i3-21+i31−i32−1−i3−1+i3000000000000000000000000000000
χ474444-2-2-2000-4-4-4-4222000000000000000000000000000000000
χ4844−2+2i3−2−2i3-21−i31+i3000-4-42−2i32+2i32−1+i3−1−i3000000000000000000000000000000000
χ4944−2−2i3−2+2i3-21+i31−i3000-4-42+2i32−2i32−1−i3−1+i3000000000000000000000000000000000
χ5012-600000000-12600000000000000000000000000000000000000

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