Finite Group Databasebeta

← Group #10594427

Character table — Group #10594427

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order1222334466666634466612121212224444441212121212121212121244442244661212121212124466121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ5111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111-1-11111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-11-11-111-1-111-1-1111-11-11-1
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-11-11-1-1-111-1-111111-1-1111-1-1-1-111-1-11-1-11-11
χ11111111-1-111111111-1111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11111-111-1-1-11111-1-1-1-1-111-1-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1
χ13111111-1-11111111-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-11-1111-1-111-1-111-11-11-11
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-1-11-11-1-1-1-1111111-111-111-1-1-1-111-1-1-111-11-1
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-11111111-1-11-1-11111-1-1-1-11-1-111-1
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-11-11-1-1-111-1-111111-11-1-11
χ1722222-122-12-1-122-122-1-1-122-1-122000022-1-122-1-1-1-1-1-100002200-1-1-1-1000000-1-10000
χ1822222-122-12-1-122-122-1-1-122-1-1-2-20000-2-2-1-122-1-1-1-1-1-10000-2-2001111000000110000
χ1922222-122-12-1-122-1-2-2-1-1-122-1-12200002211-2-2-1-111110000-2-200-1-1-1-1000000110000
χ2022222-122-12-1-122-1-2-2-1-1-122-1-1-2-20000-2-211-2-2-1-11111000022001111000000-1-10000
χ2122222-1-2-2-12-1-122-12-2-1-1-1-2-211220000-2-2-112-211-1-11100002-200-1-111000000-110000
χ2222222-1-2-2-12-1-122-12-2-1-1-1-2-211-2-2000022-112-211-1-1110000-220011-1-10000001-10000
χ2322222-1-2-2-12-1-122-1-22-1-1-1-2-211220000-2-21-1-221111-1-10000-2200-1-1110000001-10000
χ2422222-1-2-2-12-1-122-1-22-1-1-1-2-211-2-20000221-1-221111-1-100002-20011-1-1000000-110000
χ252222-12222-122-1-1-122-1-1-1-1-1220022220022-1-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-100
χ262222-12222-122-1-1-122-1-1-1-1-12200-2-2-2-20022-1-1-1-1-1-1-1-1000000-2-20000111100001100
χ272222-12222-122-1-1-1-2-2-1-1-1-1-12200222200-2-211-1-11111000000-2-20000-1-1-1-100001100
χ282222-12222-122-1-1-1-2-2-1-1-1-1-12200-2-2-2-200-2-211-1-1111100000022000011110000-1-100
χ292222-12-2-22-122-1-1-12-2-1-1-111-2-20022-2-2002-2-1111-1-1110000002-20000-1-1110000-1100
χ302222-12-2-22-122-1-1-12-2-1-1-111-2-200-2-222002-2-1111-1-111000000-22000011-1-100001-100
χ312222-12-2-22-122-1-1-1-22-1-1-111-2-20022-2-200-221-11111-1-1000000-220000-1-11100001-100
χ322222-12-2-22-122-1-1-1-22-1-1-111-2-200-2-22200-221-11111-1-10000002-2000011-1-10000-1100
χ3322-2-22200-2-22-22-2200-2-2200002-2002i−2i0000000000002i2i−2i−2i00002-200002i−2i00000000
χ3422-2-22200-2-22-22-2200-2-2200002-200−2i2i000000000000−2i−2i2i2i00002-20000−2i2i00000000
χ3522-2-22200-2-22-22-2200-2-220000-22002i−2i000000000000−2i−2i2i2i0000-2200002i−2i00000000
χ3622-2-22200-2-22-22-2200-2-220000-2200−2i2i0000000000002i2i−2i−2i0000-220000−2i2i00000000
χ372-22-222002-2-2-2-222002-2-20000002i−2i002i−2i00000000002-22-20000002i−2i2i−2i0000000000
χ382-22-222002-2-2-2-222002-2-20000002i−2i00−2i2i0000000000-22-22000000−2i2i2i−2i0000000000
χ392-22-222002-2-2-2-222002-2-2000000−2i2i002i−2i0000000000-22-220000002i−2i−2i2i0000000000
χ402-22-222002-2-2-2-222002-2-2000000−2i2i00−2i2i00000000002-22-2000000−2i2i−2i2i0000000000
χ412-2-22222-2-22-22-2-2200-22-22-22-20000000000002-200002i−2i−2i2i0000000000002i−2i000000
χ422-2-22222-2-22-22-2-2200-22-22-22-20000000000002-20000−2i2i2i−2i000000000000−2i2i000000
χ432-2-2222-22-22-22-2-2200-22-2-22-22000000000000-2200002i−2i−2i2i000000000000−2i2i000000
χ442-2-2222-22-22-22-2-2200-22-2-22-22000000000000-220000−2i2i2i−2i0000000000002i−2i000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-200000000-2-2-2-2111111000000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200000000222211-1-1-1-1000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-4111222200000000-22-22-1-111-1-1000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-441112222000000002-22-2-1-1-1-111000000000000000000000000
χ4944-4-44-2002-4-224-4-20022-200004-4000000000000000000000000-2200000000000000
χ5044-4-44-2002-4-224-4-20022-20000-440000000000000000000000002-200000000000000
χ5144-4-4-2400-424-4-22-20022-2000000004i−4i00000000000000000000000000−2i2i00000000
χ5244-4-4-2400-424-4-22-20022-200000000−4i4i000000000000000000000000002i−2i00000000
χ534-44-44-200-2-422-44-200-22200000000004i−4i00000000000000000000−2i2i000000000000
χ544-44-44-200-2-422-44-200-2220000000000−4i4i000000000000000000002i−2i000000000000
χ554-44-4-240042-4-42-2-200-2220000004i−4i00000000000000000000000000−2i2i0000000000
χ564-44-4-240042-4-42-2-200-222000000−4i4i000000000000000000000000002i−2i0000000000
χ574-4-444-24-4242-2-4-4-2002-224-4-22000000000000-220000000000000000000000000000
χ584-4-444-2-44242-2-4-4-2002-22-442-20000000000002-20000000000000000000000000000
χ594-4-44-244-4-4-2-4422-2002-22-224-4000000000000-220000000000000000000000000000
χ604-4-44-24-44-4-2-4422-2002-222-2-440000000000002-20000000000000000000000000000
χ614-4-44-2-24-42-22-222100-11-1-22-220000000000001-13i−3i3i−3i000000000000000000000000
χ624-4-44-2-24-42-22-222100-11-1-22-220000000000001-1−3i3i−3i3i000000000000000000000000
χ634-4-44-2-2-442-22-222100-11-12-22-2000000000000-113i−3i−3i3i000000000000000000000000
χ644-4-44-2-2-442-22-222100-11-12-22-2000000000000-11−3i3i3i−3i000000000000000000000000
χ6588-8-8-4-40044-44-44200-2-220000000000000000000000000000000000000000000000
χ668-88-8-4-400-44444-42002-2-20000000000000000000000000000000000000000000000

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