Finite Group Databasebeta

← Group #10594030

Character table — Group #10594030

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order12222233666666344666666644444444661212121212121212444444441212121212121212441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1111
χ7111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11-111
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-11-11-111-1-111111-11-111-1-111-1-1-1-111-1-11-1
χ101111-1-11111111111-1-1-1-1-111111-1-1-1-111-1-11-11-111-1-1-1-1-1-11-1-1111-1-1-1-111111-1-11-11
χ111111-1-11111111111-1-1-1-1-1111-1-11111-1-1-1-11-11-111-1-1-1-1-1-1-111-1-1-11111-1-111-111-1-11
χ121111-1-11111111111-1-1-1-1-1111-1-111-1-111-1-11-11-111-1-11111-11-11-1-111-1-111-1-1-1-1111-1
χ131111-1-1111111111-11-1-1-1-111111-1-111-1-1-1-1-11-11-1-1111111-11-1111-1-111-1-1-1-1-1-111-11
χ141111-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-11-11-1-111-1-1-1-1-111-111-1-1-1-11111-111-11-1
χ151111-1-1111111111-11-1-1-1-1111-1-11111-1-1-1-1-11-11-1-111-1-1-1-11-1-11-1-11111-1-1111-1-111-1
χ161111-1-1111111111-11-1-1-1-1111-1-111-1-111-1-1-11-11-1-11111111-11-1-1-111-1-111-1-111-1-1-11
χ172222222-12-12-12-1-12222-1-1-1-1-100002222-1-12-1-12-1-1-1-1000000220000-1-1-1-1000-10-100
χ182222222-12-12-12-1-12222-1-1-1-1-10000-2-2-2-2-1-12-1-12-1-1-1-1000000-2-20000111100010100
χ192222222-12-12-12-1-1-2-222-1-1-1-1-100002222-1-1-211-21111000000-2-20000-1-1-1-100010100
χ202222222-12-12-12-1-1-2-222-1-1-1-1-10000-2-2-2-2-1-1-211-211110000002200001111000-10-100
χ21222222-12-12-12-12-122-1-122-1-1-122220000-1-1-122-1-1-1-1-100002200-1-1-1-1000000-10-1000
χ22222222-12-12-12-12-122-1-122-1-1-1-2-2-2-20000-1-1-122-1-1-1-1-10000-2-2001111000000101000
χ23222222-12-12-12-12-1-2-2-1-122-1-1-122220000-1-11-2-2111110000-2-200-1-1-1-1000000101000
χ24222222-12-12-12-12-1-2-2-1-122-1-1-1-2-2-2-20000-1-11-2-211111000022001111000000-10-1000
χ252222-2-22-12-12-12-1-12-2-2-211-1-1-1000022-2-21121-1-2-1-1110000002-20000-1-111000-10100
χ262222-2-22-12-12-12-1-12-2-2-211-1-1-10000-2-2221121-1-2-1-111000000-22000011-1-100010-100
χ272222-2-22-12-12-12-1-1-22-2-211-1-1-1000022-2-211-2-11211-1-1000000-220000-1-11100010-100
χ282222-2-22-12-12-12-1-1-22-2-211-1-1-10000-2-22211-2-11211-1-10000002-2000011-1-1000-10100
χ292222-2-2-12-12-12-12-12-211-2-2-1-1-122-2-2000011-1-221-1-11100002-200-1-111000000-101000
χ302222-2-2-12-12-12-12-12-211-2-2-1-1-1-2-222000011-1-221-1-1110000-220011-1-100000010-1000
χ312222-2-2-12-12-12-12-1-2211-2-2-1-1-122-2-200001112-2-111-1-10000-2200-1-11100000010-1000
χ322222-2-2-12-12-12-12-1-2211-2-2-1-1-1-2-22200001112-2-111-1-100002-20011-1-1000000-101000
χ3322-2-22-22222-2-2-2-22002-22-22-2-2000000002-20000000022-2-20000000000002-2000000
χ3422-2-22-22222-2-2-2-22002-22-22-2-2000000002-200000000-2-222000000000000-22000000
χ3522-2-2-222222-2-2-2-2200-22-222-2-200000000-220000000022-2-2000000000000-22000000
χ3622-2-2-222222-2-2-2-2200-22-222-2-200000000-2200000000-2-2220000000000002-2000000
χ372-22-20022-2-22-2-222000000-22-2002i−2i002-200000000002i−2i2i−2i0000002i−2i002-200000000
χ382-22-20022-2-22-2-222000000-22-2002i−2i00-220000000000−2i2i−2i2i0000002i−2i00-2200000000
χ392-22-20022-2-22-2-222000000-22-200−2i2i002-20000000000−2i2i−2i2i000000−2i2i002-200000000
χ402-22-20022-2-22-2-222000000-22-200−2i2i00-2200000000002i−2i2i−2i000000−2i2i00-2200000000
χ412-2-220022-2-2-222-22000000-2-222-2002i−2i0000000000002i−2i−2i2i00002-2002i−2i0000000000
χ422-2-220022-2-2-222-22000000-2-222-200−2i2i000000000000−2i2i2i−2i00002-200−2i2i0000000000
χ432-2-220022-2-2-222-22000000-2-22-22002i−2i000000000000−2i2i2i−2i0000-22002i−2i0000000000
χ442-2-220022-2-2-222-22000000-2-22-2200−2i2i0000000000002i−2i−2i2i0000-2200−2i2i0000000000
χ45444444-2-2-2-2-2-2-2-2144-2-2-2-21110000000011-2-2-2-21111000000000000000000000000
χ46444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211100000000112222-1-1-1-1000000000000000000000000
χ474444-4-4-2-2-2-2-2-2-2-214-4222211100000000-1-1-22-2211-1-1000000000000000000000000
χ484444-4-4-2-2-2-2-2-2-2-21-44222211100000000-1-12-22-2-1-111000000000000000000000000
χ4944-4-44-44-24-2-42-42-2004-4-22-22200000000-2200000000000000000000000000000000
χ5044-4-44-4-24-242-42-4-200-224-4-22200000000-2200000000000000000000000000000000
χ5144-4-44-4-2-2-2-22222100-22-221-1-1000000001-100003i−3i3i−3i000000000000000000000000
χ5244-4-44-4-2-2-2-22222100-22-221-1-1000000001-10000−3i3i−3i3i000000000000000000000000
χ5344-4-4-444-24-2-42-42-200-442-2-222000000002-200000000000000000000000000000000
χ5444-4-4-44-24-242-42-4-2002-2-44-222000000002-200000000000000000000000000000000
χ5544-4-4-44-2-2-2-222221002-22-21-1-100000000-1100003i−3i−3i3i000000000000000000000000
χ5644-4-4-44-2-2-2-222221002-22-21-1-100000000-110000−3i3i3i−3i000000000000000000000000
χ574-44-4004-2-4242-4-2-20000002-220000004-4000000000000000000000000-2200000000
χ584-44-4004-2-4242-4-2-20000002-22000000-440000000000000000000000002-200000000
χ594-44-400-242-4-2-424-20000002-22004i−4i000000000000000000000000−2i2i000000000000
χ604-44-400-242-4-2-424-20000002-2200−4i4i0000000000000000000000002i−2i000000000000
χ614-4-44004-2-42-4-242-200000022-200004i−4i000000000000000000000000−2i2i0000000000
χ624-4-44004-2-42-4-242-200000022-20000−4i4i0000000000000000000000002i−2i0000000000
χ634-4-4400-242-424-2-4-200000022-24-4000000000000000000000000-2200000000000000
χ644-4-4400-242-424-2-4-200000022-2-440000000000000000000000002-200000000000000
χ658-88-800-4-444-444-42000000-22-2000000000000000000000000000000000000000000
χ668-8-8800-4-4444-4-442000000-2-22000000000000000000000000000000000000000000

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