Finite Group Databasebeta

← Group #10594469

Character table — Group #10594469

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order12223366666634446661212121244444444121212121212121212124444121212121212121222441212121224
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-111-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
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
χ511111111111111-1-111111-1-11111-1-111-1-1-1111-1-1-1-1-11-1-1-1-111111111-1-11-1-1-1-11
χ611111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1111-1
χ711111111111111-1-111111-1-1-1-1111111-1-1-1111-1-1-1-11-1-1-11111-1-111-1-111-11-1-11-1
χ811111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-11-11111-1-1-1-1-1-111-1-1-1111-11
χ91111111111111-11-1111-1-111111111-1-11-1-1-1-1-111-1-1-1-11-1111111-1-1-1-111-1-11-1-11
χ101111111111111-11-1111-1-11111-1-111111-1-1-1-1-111-1-1-1-1-1111-1-1111111-1-1-1-1-111-1
χ111111111111111-11-1111-1-111-1-111-1-1-1-11-1-1-1-1-111-1-1111-1-1-111-1-1-1-111-1-1111-11-1
χ121111111111111-11-1111-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-111-11-1-1-1-1-1-111-1-11111-11-11
χ131111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-11-1111
χ141111111111111-1-11111-1-1-1-111-1-1-1-111-111-1-1-1-1-1111-11-1-1-1-1-111111111-111-1-1-1
χ151111111111111-1-11111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-11-111111-1-1-1-111111-1-11-1-1
χ161111111111111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-111-111-1-1-1-111-1-1-1-11-11-111
χ1722222-12-12-1-12-1222-1-1-122-1-12200220022-1-1-1-1-1-1-1-12200-1-100-1-1000000-1-10000
χ1822222-12-12-1-12-1222-1-1-122-1-1-2-200-2-20022-1-1-1-1-1-1-1-1-2-200110011000000110000
χ1922222-12-12-1-12-12-2-2-1-1-122112200-2-200-2-21-1-1-11111-22001100-1-1000000-110000
χ2022222-12-12-1-12-12-2-2-1-1-12211-2-2002200-2-21-1-1-111112-200-1-100110000001-10000
χ2122222-12-12-1-12-1-22-2-1-1-1-2-2-1-1220022002-21111-1-111-2-200-1-100-1-1000000110000
χ2222222-12-12-1-12-1-22-2-1-1-1-2-2-1-1-2-200-2-2002-21111-1-1112200110011000000-1-10000
χ2322222-12-12-1-12-1-2-22-1-1-1-2-2112200-2-200-22-111111-1-12-2001100-1-10000001-10000
χ2422222-12-12-1-12-1-2-22-1-1-1-2-211-2-2002200-22-111111-1-1-2200-1-10011000000-110000
χ252222-12-12-122-1-1222-1-1-1-1-12200220022-1-122-1-1-1-1-1-1002200-1-100-1-1000000-1-100
χ262222-12-12-122-1-1222-1-1-1-1-12200-2-200-2-2-1-122-1-1-1-1-1-100-2-2001100110000001100
χ272222-12-12-122-1-12-2-2-1-1-1-1-1-2-20022002211-22-1-1111100-2-200-1-100-1-10000001100
χ282222-12-12-122-1-12-2-2-1-1-1-1-1-2-200-2-200-2-211-22-1-11111002200110011000000-1-100
χ292222-12-12-122-1-1-22-2-1-1-11122002200-2-2-11-2-211-1-111002-200-1-10011000000-1100
χ302222-12-12-122-1-1-22-2-1-1-1112200-2-20022-11-2-211-1-11100-22001100-1-10000001-100
χ312222-12-12-122-1-1-2-22-1-1-111-2-2002200-2-21-12-21111-1-100-2200-1-100110000001-100
χ322222-12-12-122-1-1-2-22-1-1-111-2-200-2-200221-12-21111-1-1002-2001100-1-1000000-1100
χ332-22-222-2-222-2-22000-2-2200002i−2i00002i−2i0000000000000000002i−2i2i−2i2-200000000
χ342-22-222-2-222-2-22000-2-2200002i−2i0000−2i2i0000000000000000002i−2i−2i2i-2200000000
χ352-22-222-2-222-2-22000-2-220000−2i2i00002i−2i000000000000000000−2i2i2i−2i-2200000000
χ362-22-222-2-222-2-22000-2-220000−2i2i0000−2i2i000000000000000000−2i2i−2i2i2-200000000
χ372-2-2222-22-2-2-2220002-2-20000002i−2i2-200000000000000002-22i−2i0000002i−2i000000
χ382-2-2222-22-2-2-2220002-2-20000002i−2i-220000000000000000-222i−2i000000−2i2i000000
χ392-2-2222-22-2-2-2220002-2-2000000−2i2i2-200000000000000002-2−2i2i000000−2i2i000000
χ402-2-2222-22-2-2-2220002-2-2000000−2i2i-220000000000000000-22−2i2i0000002i−2i000000
χ414444-2-2-2-2-2-2-2-21444111-2-2-2-200000000-2-2-2-21111110000000000000000000000
χ424444-2-2-2-2-2-2-2-214-4-4111-2-22200000000222-211-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-21-44-411122-2-200000000-2222-1-111-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-21-4-441112222000000002-2-22-1-1-1-1110000000000000000000000
χ4544-4-4444-4-4-44-44000-44-400000000000000000000000000000000000000000000
χ4644-4-44-242-42-2-4-20002-220023−230000000000000023−23000000000000000000000000
χ4744-4-44-242-42-2-4-20002-2200−232300000000000000−2323000000000000000000000000
χ4844-4-4-24-2-42-442-20002-22−2i32i300000000000000−2i32i300000000000000000000000000
χ4944-4-4-24-2-42-442-20002-222i3−2i3000000000000002i3−2i300000000000000000000000000
χ5044-4-4-2-2-2222-221000-11-1−2i32i323−23000000000000i3−i3−333i−3i0000000000000000000000
χ5144-4-4-2-2-2222-221000-11-1−2i32i3−2323000000000000i3−i33−3−3i3i0000000000000000000000
χ5244-4-4-2-2-2222-221000-11-12i3−2i323−23000000000000−i3i3−33−3i3i0000000000000000000000
χ5344-4-4-2-2-2222-221000-11-12i3−2i3−2323000000000000−i3i33−33i−3i0000000000000000000000
χ544-44-44-2-424-22-4-200022-200004i−4i000000000000000000000000−2i2i000000000000
χ554-44-44-2-424-22-4-200022-20000−4i4i0000000000000000000000002i−2i000000000000
χ564-44-4-242-4-24-42-200022-200000000004i−4i00000000000000000000−2i2i0000000000
χ574-44-4-242-4-24-42-200022-20000000000−4i4i000000000000000000002i−2i0000000000
χ584-4-444-2-4-2-4224-2000-222000000004-40000000000000000-220000000000000000
χ594-4-444-2-4-2-4224-2000-22200000000-4400000000000000002-20000000000000000
χ604-4-44-24242-4-4-2-2000-2220000004i−4i00000000000000000000−2i2i00000000000000
χ614-4-44-24242-4-4-2-2000-222000000−4i4i000000000000000000002i−2i00000000000000
χ628-88-8-4-444-4-4442000-2-2200000000000000000000000000000000000000000000
χ638-8-88-4-44-4444-420002-2-200000000000000000000000000000000000000000000

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