Finite Group Databasebeta

← Group #13051995

Character table — Group #13051995

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122244446666777781212121212121414141414142424242428282828282828282828282828282828282828285656565656565656
order1224444447141414336642828282828286612121212282828282244666612121212121212121212121288121224242424
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1
χ31111111111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ51111111111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111111111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ71111111-1-111111111-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ81111111-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ91111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11111−1+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+i32-1-11−i321+i321−i321−i321+i321+i32
χ101111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ111111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11111−1−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−i32-1-11+i321−i321+i321+i321−i321−i32
χ121111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311111-1-11111111111-1111111111111-1-1-1-11-11-11-11-1-1-1-1-11-11-111111-1-1-11-11-1
χ1411111-1-11111111111-1111111111111-1-1-1-1-11-11-11-11-1-1-1-1-11-111111-11-1-1-11-11
χ1511111-1-1111111−1+i32−1−i32−1+i32−1−i32-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11-11-1−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ1611111-1-1111111−1+i32−1−i32−1+i32−1−i32-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-11-111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ1711111-1-1111111−1−i32−1+i32−1−i32−1+i32-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11-11-1−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ1811111-1-1111111−1−i32−1+i32−1−i32−1+i32-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11-111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ1911111-1-1-1-1111111111-1-1-1-111111111-1-1111-11-11-11-1-1-1-1-11-11-1-1-1-1-1-1111-11-11
χ2011111-1-1-1-1111111111-1-1-1-111111111-1-111-11-11-11-11-1-1-1-1-11-11-1-1-1-11-1111-11-1
χ2111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i321-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111-11-1−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ2211111-1-1-1-11111−1+i32−1−i32−1+i32−1−i321-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-11-111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2311111-1-1-1-11111−1−i32−1+i32−1−i32−1+i321-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111-11-1−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ2411111-1-1-1-11111−1−i32−1+i32−1−i32−1+i321-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-11-111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ25222-2-22-2002222222200000-2-222-2-2-2-22-200000000002-22-20000000000000000
χ26222-2-22-2002222−1+i3−1−i3−1+i3−1−i300000-2-2−1+i3−1−i31−i31−i31+i31+i32-20000000000−1+i31−i3−1−i31+i30000000000000000
χ27222-2-22-2002222−1−i3−1+i3−1−i3−1+i300000-2-2−1−i3−1+i31+i31+i31−i31−i32-20000000000−1−i31+i3−1+i31−i30000000000000000
χ28222-2-2-22002222222200000-2-222-2-2-2-2-220000000000-22-220000000000000000
χ29222-2-2-22002222−1+i3−1−i3−1+i3−1−i300000-2-2−1+i3−1−i31−i31−i31+i31+i3-2200000000001−i3−1+i31+i3−1−i30000000000000000
χ30222-2-2-22002222−1−i3−1+i3−1−i3−1+i300000-2-2−1−i3−1+i31+i31+i31−i31−i3-2200000000001+i3−1−i31−i3−1+i30000000000000000
χ3122-22-200002-2-222222000002-2-2-22-22-20000020-2020200000-20-2000000000000
χ3222-22-200002-2-222222000002-2-2-22-22-200000-2020-20-200000202000000000000
χ3322-22-200002-2-22−1+i3−1−i3−1+i3−1−i3000002-21−i31+i3−1+i31−i3−1−i31+i30000020-20−1+i30−1−i3000001−i301+i3000000000000
χ3422-22-200002-2-22−1+i3−1−i3−1+i3−1−i3000002-21−i31+i3−1+i31−i3−1−i31+i300000-20201−i301+i300000−1+i30−1−i3000000000000
χ3522-22-200002-2-22−1−i3−1+i3−1−i3−1+i3000002-21+i31−i3−1−i31+i3−1+i31−i30000020-20−1−i30−1+i3000001+i301−i3000000000000
χ3622-22-200002-2-22−1−i3−1+i3−1−i3−1+i3000002-21+i31−i3−1−i31+i3−1+i31−i300000-20201+i301−i300000−1−i30−1+i3000000000000
χ3722-2-2200002-2-22222200000-22-2-2-22-22000020-2020200000-20-20000000000000
χ3822-2-2200002-2-22222200000-22-2-2-22-220000-2020-20-2000002020000000000000
χ3922-2-2200002-2-22−1+i3−1−i3−1+i3−1−i300000-221−i31+i31−i3−1+i31+i3−1−i3000020-20−1+i30−1−i3000001−i301+i30000000000000
χ4022-2-2200002-2-22−1+i3−1−i3−1+i3−1−i300000-221−i31+i31−i3−1+i31+i3−1−i30000-20201−i301+i300000−1+i30−1−i30000000000000
χ4122-2-2200002-2-22−1−i3−1+i3−1−i3−1+i300000-221+i31−i31+i3−1−i31−i3−1+i3000020-20−1−i30−1+i3000001+i301−i30000000000000
χ4222-2-2200002-2-22−1−i3−1+i3−1−i3−1+i300000-221+i31−i31+i3−1−i31−i3−1+i30000-20201+i301−i300000−1−i30−1+i30000000000000
χ434-4000002-2400-444-4-4022-2-200000000000000000000000000002-22-200000000
χ444-4000002-2400-4−2+2i3−2−2i32−2i32+2i3022-2-20000000000000000000000000000−1+i31−i3−1−i31+i300000000
χ454-4000002-2400-4−2−2i3−2+2i32+2i32−2i3022-2-20000000000000000000000000000−1−i31+i3−1+i31−i300000000
χ464-400000-22400-444-4-40-2-2220000000000000000000000000000-22-2200000000
χ474-400000-22400-4−2+2i3−2−2i32−2i32+2i30-2-22200000000000000000000000000001−i3−1+i31+i3−1−i300000000
χ484-400000-22400-4−2−2i3−2+2i32+2i32−2i30-2-22200000000000000000000000000001+i3−1−i31−i3−1+i300000000
χ49666666666-1-1-1-100006-1-1-1-1-1-1000000-1-1-1-10000000000000000000000000000
χ506666666-6-6-1-1-1-10000-61111-1-1000000-1-1110000000000000000000000000000
χ5166666-6-666-1-1-1-10000-6-1-1-1-1-1-100000011110000000000000000000000000000
χ5266666-6-6-6-6-1-1-1-1000061111-1-100000011-1-10000000000000000000000000000
χ53666-6-66-600-1-1-1-100000−i7i7−i7i711000000-11−i7i70000000000000000000000000000
χ54666-6-66-600-1-1-1-100000i7−i7i7−i711000000-11i7−i70000000000000000000000000000
χ55666-6-6-6600-1-1-1-100000−i7i7−i7i7110000001-1i7−i70000000000000000000000000000
χ56666-6-6-6600-1-1-1-100000i7−i7i7−i7110000001-1−i7i70000000000000000000000000000
χ571212-1212-120000-222-2000000000-2200000000000000000000000000000000000000
χ581212-12-12120000-222-20000000002-200000000000000000000000000000000000000
χ5912-12000006-6-2−2i72i7200000−1−i7−1+i71+i71−i70000000000000000000000000000000000000000
χ6012-12000006-6-22i7−2i7200000−1+i7−1−i71−i71+i70000000000000000000000000000000000000000
χ6112-1200000-66-2−2i72i72000001+i71−i7−1−i7−1+i70000000000000000000000000000000000000000
χ6212-1200000-66-22i7−2i72000001−i71+i7−1+i7−1−i70000000000000000000000000000000000000000

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