Finite Group Databasebeta

← Group #10595437

Character table — Group #10595437

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order1222336666663444666121212122244444412121212121212121212224466121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-111111-1-11111-1-111-1-11-111-1-1-1-1-1-11-1111111-1-1-1-111-1-11-11-1
χ611111111111111-1-111111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1111-111-1-1-1-1-1-111-1-1111-1-11
χ711111111111111-1-111111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-11-1-111111111-1-1-1-1-11-11
χ811111111111111-1-111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-111-1-11111-111-1
χ91111111111111-11-1111-1-111111111-1-11-1-1-1-1-111-1-11-1-1-11111-1-111-1-1111-1-1-1-11
χ101111111111111-11-1111-1-11111-1-111111-1-1-1-1-111-1-1-11-1-111-1-1111111-1-1-11-1-11-1
χ111111111111111-11-1111-1-111-1-111-1-1-1-11-1-1-1-1-111-1-11-111-1-111-1-1-1-111-1-11-1111-1
χ121111111111111-11-1111-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1111-1-1-1-111-1-1-1-111-1111-11
χ131111111111111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-11-111111-1-1-1-11111-11-11-1-1
χ141111111111111-1-11111-1-1-1-111-1-1-1-111-11-11-1-1-1-1111-1-1111-1-111-1-1-1-1-1-11-1-1111
χ151111111111111-1-11111-1-1-1-1-1-11111-1-1-11-11-1-1-1-111-111-1-1-111-1-111-1-1-1-1-111-111
χ161111111111111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1111-11-1-1-1-1-1111111111-11-1-1-1
χ1722222-12-1-1-122-1222-1-1-1-1-12200220022-1-122-1-1-1-1-1-1220000-1-1-1-1000000-1-10000
χ1822222-12-1-1-122-1222-1-1-1-1-12200-2-200-2-2-1-122-1-1-1-1-1-1-2-200001111000000110000
χ1922222-12-1-1-122-12-2-2-1-1-1-1-1-2-200220022112-2-1-11111-2-20000-1-1-1-1000000110000
χ2022222-12-1-1-122-12-2-2-1-1-1-1-1-2-200-2-200-2-2112-2-1-111112200001111000000-1-10000
χ2122222-12-1-1-122-1-22-2-1-1-11122002200-2-2-11-2-211-1-1112-20000-1-111000000-110000
χ2222222-12-1-1-122-1-22-2-1-1-1112200-2-20022-11-2-211-1-111-22000011-1-10000001-10000
χ2322222-12-1-1-122-1-2-22-1-1-111-2-2002200-2-21-1-221111-1-1-220000-1-1110000001-10000
χ2422222-12-1-1-122-1-2-22-1-1-111-2-200-2-200221-1-221111-1-12-2000011-1-1000000-110000
χ252222-12-1222-1-1-1222-1-1-122-1-12200220022-1-1-1-1-1-1-1-10022-1-10000-1-1000000-1-100
χ262222-12-1222-1-1-1222-1-1-122-1-1-2-200-2-20022-1-1-1-1-1-1-1-100-2-2110000110000001100
χ272222-12-1222-1-1-12-2-2-1-1-122112200-2-200-2-2-11-1-11111002-2-1-1000011000000-1100
χ282222-12-1222-1-1-12-2-2-1-1-12211-2-2002200-2-2-11-1-1111100-22110000-1-10000001-100
χ292222-12-1222-1-1-1-22-2-1-1-1-2-2-1-1220022002-21111-1-11100-2-2-1-10000-1-10000001100
χ302222-12-1222-1-1-1-22-2-1-1-1-2-2-1-1-2-200-2-2002-21111-1-111002211000011000000-1-100
χ312222-12-1222-1-1-1-2-22-1-1-1-2-2112200-2-200-221-11111-1-100-22-1-10000110000001-100
χ322222-12-1222-1-1-1-2-22-1-1-1-2-211-2-2002200-221-11111-1-1002-2110000-1-1000000-1100
χ3322-2-222-22-2-22-220002-2-2000000002i−2i2i−2i0000000000000000002i−2i2i−2i2-200000000
χ3422-2-222-22-2-22-220002-2-2000000002i−2i−2i2i000000000000000000−2i2i2i−2i-2200000000
χ3522-2-222-22-2-22-220002-2-200000000−2i2i2i−2i0000000000000000002i−2i−2i2i-2200000000
χ3622-2-222-22-2-22-220002-2-200000000−2i2i−2i2i000000000000000000−2i2i−2i2i2-200000000
χ372-2-22222-22-2-2-22000-22-200002-22i−2i0000000000000000002-22i−2i0000002i−2i000000
χ382-2-22222-22-2-2-22000-22-200002-2−2i2i0000000000000000002-2−2i2i000000−2i2i000000
χ392-2-22222-22-2-2-22000-22-20000-222i−2i000000000000000000-222i−2i000000−2i2i000000
χ402-2-22222-22-2-2-22000-22-20000-22−2i2i000000000000000000-22−2i2i0000002i−2i000000
χ414444-2-2-2-2-2-2-2-21444111-2-2-2-200000000-2-2-2-21111110000000000000000000000
χ424444-2-2-2-2-2-2-2-214-4-4111-2-2220000000022-2211-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-21-44-411122-2-200000000-2222-1-111-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-21-4-441112222000000002-22-2-1-1-1-1110000000000000000000000
χ4544-4-44-2-4-2224-4-2000-22200000000004i−4i000000000000000000−2i2i000000000000
χ4644-4-44-2-4-2224-4-2000-2220000000000−4i4i0000000000000000002i−2i000000000000
χ4744-4-4-2424-4-4-22-2000-222000000004i−4i0000000000000000000000−2i2i0000000000
χ4844-4-4-2424-4-4-22-2000-22200000000−4i4i00000000000000000000002i−2i0000000000
χ494-44-444-4-4-44-444000-4-4400000000000000000000000000000000000000000000
χ504-44-44-2-422-2-44-200022-2−2i32i300000000000000−2i32i300000000000000000000000000
χ514-44-44-2-422-2-44-200022-22i3−2i3000000000000002i3−2i300000000000000000000000000
χ524-44-4-242-4-442-2-200022-200−2i32i300000000000000−2i32i3000000000000000000000000
χ534-44-4-242-4-442-2-200022-2002i3−2i3000000000000002i3−2i3000000000000000000000000
χ544-44-4-2-2222-22-21000-1-11−2i32i3−2i32i3000000000000i3−i3i3−i33-30000000000000000000000
χ554-44-4-2-2222-22-21000-1-11−2i32i32i3−2i3000000000000i3−i3−i3i3-330000000000000000000000
χ564-44-4-2-2222-22-21000-1-112i3−2i3−2i32i3000000000000−i3i3i3−i3-330000000000000000000000
χ574-44-4-2-2222-22-21000-1-112i3−2i32i3−2i3000000000000−i3i3−i3i33-30000000000000000000000
χ584-4-444-242-22-4-4-20002-220000004i−4i00000000000000000000−2i2i00000000000000
χ594-4-444-242-22-4-4-20002-22000000−4i4i000000000000000000002i−2i00000000000000
χ604-4-44-24-2-44-422-20002-2200004-400000000000000000000-220000000000000000
χ614-4-44-24-2-44-422-20002-220000-44000000000000000000002-20000000000000000
χ6288-8-8-4-44-444-4420002-2-200000000000000000000000000000000000000000000
χ638-8-88-4-4-44-44442000-22-200000000000000000000000000000000000000000000

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