Finite Group Databasebeta

← Group #10594143

Character table — Group #10594143

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order1222336666662344666661212444444446661212121212121222441212121212121212444466121224
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111111-11-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-11-11-1-1
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
χ511111111111111-1-111111-1-111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1111-1-1-1-11
χ611111111111111-1-111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-111-11-1-111-1-1-1-111-1-111-111-1
χ711111111111111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-11-11-1
χ811111111111111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1111-11
χ9111111111111-111-1-1-1111-1-111-1-111-1-1-1-1-11-1111-1-1-111-1-1-11111-1-1-1-1-1-1-111-111
χ10111111111111-111-1-1-1111-1-111-1-1-1-111-1-1-11-1111-1-1-1-111-1-111-1-1111111-1-111-1-1
χ11111111111111-111-1-1-1111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-111-1-111-1-1111111-1-1-1-1
χ12111111111111-111-1-1-1111-1-1-1-111-1-111-1-1-11-1111-1-11-1-1111-1-1-1-111-1-1-1-11-1-1111
χ13111111111111-11-11-1-111111111111-1-1-1-1-1-11-1-1-111-1-1-11111111-1-111-1-1-1-1-11-11
χ14111111111111-11-11-1-1111111111-1-111-1-1-1-11-1-1-111-11-1-11111-1-111-1-111-11-1-11-1
χ15111111111111-11-11-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-1111-111-1-1-1-111-1-1-1-1111-1111-1
χ16111111111111-11-11-1-111111-1-1-1-1-1-111-1-1-1-11-1-1-111111-1-1-1-1-1-1-11111-1-1111-1-11
χ1722222-122-1-1-122-12222-1-1-1-1-122220000-1-1-122-1-1-1-1-12020-1-1-1-100000000-10-1000
χ1822222-122-1-1-122-12222-1-1-1-1-1-2-2-2-20000-1-1-122-1-1-1-1-1-20-20111100000000101000
χ1922222-122-1-1-122-1-2-222-1-1-11122-2-20000-1-1-1-2-21111120-2011-1-100000000-101000
χ2022222-122-1-1-122-1-2-222-1-1-111-2-2220000-1-1-1-2-211111-2020-1-1110000000010-1000
χ2122222-122-1-1-12-2-12-2-2-2-1-1-11122-2-200001112-2-1-1-111-202011-1-10000000010-1000
χ2222222-122-1-1-12-2-12-2-2-2-1-1-111-2-22200001112-2-1-1-11120-20-1-11100000000-101000
χ2322222-122-1-1-12-2-1-22-2-2-1-1-1-1-122220000111-22111-1-1-20-20-1-1-1-100000000101000
χ2422222-122-1-1-12-2-1-22-2-2-1-1-1-1-1-2-2-2-20000111-22111-1-12020111100000000-10-1000
χ252222-12-1-1222-12-122-1-1-1-1-122000022222-1-1-1-12-1-1-1-102020000-1-1-1-100000-10-100
χ262222-12-1-1222-12-122-1-1-1-1-1220000-2-2-2-22-1-1-1-12-1-1-1-10-20-2000011110000010100
χ272222-12-1-1222-12-1-2-2-1-1-1-1-1-2-2000022222-1-111-211110-20-20000-1-1-1-10000010100
χ282222-12-1-1222-12-1-2-2-1-1-1-1-1-2-20000-2-2-2-22-1-111-2111102020000111100000-10-100
χ292222-12-1-1222-1-2-12-211-1-1-1-2-2000022-2-2-211-112-1-111020-20000-1-11100000-10100
χ302222-12-1-1222-1-2-12-211-1-1-1-2-20000-2-222-211-112-1-1110-202000011-1-10000010-100
χ312222-12-1-1222-1-2-1-2211-1-1-122000022-2-2-2111-1-211-1-10-2020000-1-1110000010-100
χ322222-12-1-1222-1-2-1-2211-1-1-1220000-2-222-2111-1-211-1-1020-2000011-1-100000-10100
χ3322-2-2222-2-2-22-2020000-22-2002-200002i−2i00000000000000002-2002i−2i002i−2i000000
χ3422-2-2222-2-2-22-2020000-22-2002-20000−2i2i00000000000000002-200−2i2i00−2i2i000000
χ3522-2-2222-2-2-22-2020000-22-200-2200002i−2i0000000000000000-22002i−2i00−2i2i000000
χ3622-2-2222-2-2-22-2020000-22-200-220000−2i2i0000000000000000-2200−2i2i002i−2i000000
χ372-22-222-222-2-2-2020000-2-2200002i−2i2i−2i00000000000000002i−2i002i−2i002-200000000
χ382-22-222-222-2-2-2020000-2-2200002i−2i−2i2i00000000000000002i−2i00−2i2i00-2200000000
χ392-22-222-222-2-2-2020000-2-220000−2i2i2i−2i0000000000000000−2i2i002i−2i00-2200000000
χ402-22-222-222-2-2-2020000-2-220000−2i2i−2i2i0000000000000000−2i2i00−2i2i002-200000000
χ414444-2-2-2-2-2-2-2-24144-2-2111-2-200000000-211-2-2-211110000000000000000000000
χ424444-2-2-2-2-2-2-2-241-4-4-2-21112200000000-211222-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-2-414-42211122000000002-1-1-22-211-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-2-41-4422111-2-2000000002-1-12-22-1-1110000000000000000000000
χ4544-4-44-24-422-2-40-200002-22004-40000000000000000000000-2200000000000000
χ4644-4-44-24-422-2-40-200002-2200-4400000000000000000000002-200000000000000
χ4744-4-4-24-22-4-4420-200002-22000000004i−4i00000000000000000000−2i2i0000000000
χ4844-4-4-24-22-4-4420-200002-2200000000−4i4i000000000000000000002i−2i0000000000
χ494-44-44-2-44-222-40-2000022-200004i−4i000000000000000000−2i2i0000000000000000
χ504-44-44-2-44-222-40-2000022-20000−4i4i0000000000000000002i−2i0000000000000000
χ514-44-4-242-24-4-420-2000022-20000004i−4i00000000000000000000−2i2i000000000000
χ524-44-4-242-24-4-420-2000022-2000000−4i4i000000000000000000002i−2i000000000000
χ534-4-4444-4-4-44-440400004-4-4000000000000000000000000000000000000000000
χ544-4-444-2-4-42-2240-20000-22223−23000000000000000023−230000000000000000000000
χ554-4-444-2-4-42-2240-20000-222−23230000000000000000−23230000000000000000000000
χ564-4-44-2422-44-4-20-200−2i32i3-22200000000000−2i32i300000000000000000000000000000
χ574-4-44-2422-44-4-20-2002i3−2i3-222000000000002i3−2i300000000000000000000000000000
χ584-4-44-2-2222-22-20100−2i32i31-1-123−23000000000i3−i30003i−3i−330000000000000000000000
χ594-4-44-2-2222-22-20100−2i32i31-1-1−2323000000000i3−i3000−3i3i3−30000000000000000000000
χ604-4-44-2-2222-22-201002i3−2i31-1-123−23000000000−i3i3000−3i3i−330000000000000000000000
χ614-4-44-2-2222-22-201002i3−2i31-1-1−2323000000000−i3i30003i−3i3−30000000000000000000000
χ6288-8-8-4-4-4444-44020000-22-2000000000000000000000000000000000000000000
χ638-88-8-4-44-4-4444020000-2-22000000000000000000000000000000000000000000

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