Finite Group Databasebeta

← Group #10594082

Character table — Group #10594082

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order12222233666666344666666622224444661212121212121212444422446666121212124466121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111-1-1-1-11-11-11111-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-11-11-1-1-1-11111-1-11-1-11-1-1
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
χ6111111111111111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1-1111
χ7111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-111-111
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
χ91111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-111111-1-1111-1-111-1-1-1-1-11-111-1
χ101111-1-11111111111-1-1-1-1-111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-11
χ111111-1-11111111111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-11
χ121111-1-11111111111-1-1-1-1-1111-1-111-1-111-1-111-1-111-1-11111-111-1-1-111-1-111-1-11-11-11-1
χ131111-1-1111111111-11-1-1-1-111111-1-111-1-1-1-1-1-111-1-1111111-111-111-1-111-1-1-1-11-11-1-11
χ141111-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ151111-1-1111111111-11-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-1
χ161111-1-1111111111-11-1-1-1-1111-1-111-1-111-1-1-1-111-1-11111111-1-11-1-111-1-111-1-1-11-11-11
χ172222222-122-1-1-12-12222-1-1-1-1-122220000-1-12-12-1-1-1-1-100002020-1-1-1-10000000-1-1000
χ182222222-122-1-1-12-12222-1-1-1-1-1-2-2-2-20000-1-12-12-1-1-1-1-10000-20-201111000000011000
χ192222222-122-1-1-12-1-2-222-1-1-1-1-122220000-1-1-21-2111110000-20-20-1-1-1-1000000011000
χ202222222-122-1-1-12-1-2-222-1-1-1-1-1-2-2-2-20000-1-1-21-2111110000202011110000000-1-1000
χ21222222-12-1-1222-1-122-1-122-1-1-100002222-1-1-12-12-1-1-1-1000002020000-1-1-1-100-100-100
χ22222222-12-1-1222-1-122-1-122-1-1-10000-2-2-2-2-1-1-12-12-1-1-1-100000-20-20000111100100100
χ23222222-12-1-1222-1-1-2-2-1-122-1-1-100002222-1-11-21-2111100000-20-20000-1-1-1-100100100
χ24222222-12-1-1222-1-1-2-2-1-122-1-1-10000-2-2-2-2-1-11-21-21111000002020000111100-100-100
χ252222-2-22-122-1-1-12-12-2-2-211-1-1-122-2-20000112-1-21-1-111000020-20-1-1110000000-11000
χ262222-2-22-122-1-1-12-12-2-2-211-1-1-1-2-2220000112-1-21-1-1110000-202011-1-100000001-1000
χ272222-2-22-122-1-1-12-1-22-2-211-1-1-122-2-2000011-212-111-1-10000-2020-1-11100000001-1000
χ282222-2-22-122-1-1-12-1-22-2-211-1-1-1-2-222000011-212-111-1-1000020-2011-1-10000000-11000
χ292222-2-2-12-1-1222-1-12-211-2-2-1-1-1000022-2-211-121-2-1-11100000-2020000-1-11100100-100
χ302222-2-2-12-1-1222-1-12-211-2-2-1-1-10000-2-22211-121-2-1-1110000020-2000011-1-100-100100
χ312222-2-2-12-1-1222-1-1-2211-2-2-1-1-1000022-2-2111-2-1211-1-10000020-20000-1-11100-100100
χ322222-2-2-12-1-1222-1-1-2211-2-2-1-1-10000-2-222111-2-1211-1-100000-202000011-1-100100-100
χ3322-2-200222-22-2-2-22000000-22-22-2002i−2i0000000000002i2i−2i−2i00002-2002i−2i0000000000
χ3422-2-200222-22-2-2-22000000-22-22-200−2i2i000000000000−2i−2i2i2i00002-200−2i2i0000000000
χ3522-2-200222-22-2-2-22000000-22-2-22002i−2i000000000000−2i−2i2i2i0000-22002i−2i0000000000
χ3622-2-200222-22-2-2-22000000-22-2-2200−2i2i0000000000002i2i−2i−2i0000-2200−2i2i0000000000
χ372-22-20022-22-22-2-22000000-2-22002-2002i−2i00000000002i−2i2i−2i0000002-2002i−2i00000000
χ382-22-20022-22-22-2-22000000-2-22002-200−2i2i0000000000−2i2i−2i2i0000002-200−2i2i00000000
χ392-22-20022-22-22-2-22000000-2-2200-22002i−2i0000000000−2i2i−2i2i000000-22002i−2i00000000
χ402-22-20022-22-22-2-22000000-2-2200-2200−2i2i00000000002i−2i2i−2i000000-2200−2i2i00000000
χ412-2-222-222-2-2-2-2222002-22-22-2-2000000002-2000000002-2-220000000000002-2000000
χ422-2-222-222-2-2-2-2222002-22-22-2-2000000002-200000000-222-2000000000000-22000000
χ432-2-22-2222-2-2-2-222200-22-222-2-200000000-22000000002-2-22000000000000-22000000
χ442-2-22-2222-2-2-2-222200-22-222-2-200000000-2200000000-222-20000000000002-2000000
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
χ474444-4-4-2-2-2-2-2-2-2-214-4222211100000000-1-1-2-22211-1-1000000000000000000000000
χ484444-4-4-2-2-2-2-2-2-2-21-44222211100000000-1-122-2-2-1-111000000000000000000000000
χ4944-4-4004-24-4-222-4-20000002-224-4000000000000000000000000-2200000000000000
χ5044-4-4004-24-4-222-4-20000002-22-440000000000000000000000002-200000000000000
χ5144-4-400-24-224-4-42-20000002-2200004i−4i000000000000000000000000−2i2i0000000000
χ5244-4-400-24-224-4-42-20000002-220000−4i4i0000000000000000000000002i−2i0000000000
χ534-44-4004-2-442-22-4-200000022-2004-4000000000000000000000000-22000000000000
χ544-44-4004-2-442-22-4-200000022-200-440000000000000000000000002-2000000000000
χ554-44-400-242-2-44-42-200000022-20000004i−4i000000000000000000000000−2i2i00000000
χ564-44-400-242-2-44-42-200000022-2000000−4i4i0000000000000000000000002i−2i00000000
χ574-4-444-44-2-4-422-24-2004-4-22-22200000000-2200000000000000000000000000000000
χ584-4-444-4-2422-4-44-2-200-224-4-22200000000-2200000000000000000000000000000000
χ594-4-444-4-2-22222-2-2100-22-221-1-1000000001-100003i−3i3i−3i000000000000000000000000
χ604-4-444-4-2-22222-2-2100-22-221-1-1000000001-10000−3i3i−3i3i000000000000000000000000
χ614-4-44-444-2-4-422-24-200-442-2-222000000002-200000000000000000000000000000000
χ624-4-44-44-2422-4-44-2-2002-2-44-222000000002-200000000000000000000000000000000
χ634-4-44-44-2-22222-2-21002-22-21-1-100000000-1100003i−3i−3i3i000000000000000000000000
χ644-4-44-44-2-22222-2-21002-22-21-1-100000000-110000−3i3i3i−3i000000000000000000000000
χ6588-8-800-4-4-44-44442000000-22-2000000000000000000000000000000000000000000
χ668-88-800-4-44-44-4442000000-2-22000000000000000000000000000000000000000000

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