Finite Group Databasebeta

← Group #13149582

Character table — Group #13149582

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212224444121212121212121212124444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-11-11
χ5111111111-1-1-1-1111111111-1111111-1-11111111-1-1-1-1-111-1-11-11-1-1-1-11-111-1-11111-1-1111-11-1-1-1
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-11-1-1-1-1-111-1-1-111-1-111-1111-1-1-1-1-1-111-1-11-1-1111
χ7111111111-1-1-1-1111111111-1111111-1-1-1-111-1-11-1-1-1-1-111-1-111-111-1-1-11-1-11111-1-1-1-1-1-1-1111-11
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111111-1-1-111-1-1111111-11-1-11-1
χ911111111-11-1-1-111111111-111111-1-111111111-11-1-1-1-1-1-111-11-11-11-1-1-111-1-1111111-1-1-11-11-1-1
χ1011111111-11-1-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-111-111-111
χ1111111111-11-1-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-111-1-11-111-111-1-11111-1-111111-1-1-1-11
χ1211111111-11-1-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-111111-11-11-1-1-1-111-1-111-1-1-1-11-1111-1
χ1311111111-1-111111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1111111111-1-1-1-1-1-1-1-111
χ1411111111-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11-11111-1-1-1-11111-1-111-1-1
χ1511111111-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-11111-111-1
χ1611111111-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-11-1-11-1-1-1-1-1-11111-1-1111-1-11
χ1722222222222222-12-12-12-122-1-1-1-122-1-1002200-122-1-1-1-1-1-1-12000022000000-1-100-1-10000-10-10
χ1822222222222222-12-12-12-122-1-1-1-122-1-100-2-200-122-1-1-1-1-1-1-1-20000-2-200000011001100001010
χ192222222222222-12-12-12-1222-1-1-1-1-1-1220000222-1-12-1-1-1-1-1-1020000022000000-1-100-1-1000-10-1
χ202222222222222-12-12-12-1222-1-1-1-1-1-1220000-2-22-1-12-1-1-1-1-1-10-200000-2-2000000110011000101
χ21222222222-2-2-2-22-12-12-12-12-2-1-1-1-12211002200-1-2-2111-1-11120000-2-2000000-1-100110000-1010
χ22222222222-2-2-2-22-12-12-12-12-2-1-1-1-1221100-2-200-1-2-2111-1-111-20000220000001100-1-1000010-10
χ23222222222-2-2-2-2-12-12-12-122-2-1-1-1-1-1-1-2-2000022211-211-1-1110-2000002-2000000-1-100-1-1000101
χ24222222222-2-2-2-2-12-12-12-122-2-1-1-1-1-1-1-2-20000-2-2211-211-1-1110200000-22000000110011000-10-1
χ2522222222-22-2-2-22-12-12-12-1-22-1-1-1-1-2-2-1-100220012-211111-1-1-200002-2000000-1-100-1-100001010
χ2622222222-22-2-2-22-12-12-12-1-22-1-1-1-1-2-2-1-100-2-20012-211111-1-120000-220000001100110000-10-10
χ2722222222-22-2-2-2-12-12-12-12-22-1-1-1-11122000022-2-11-21111-1-10200000-2-2000000-1-10011000-101
χ2822222222-22-2-2-2-12-12-12-12-22-1-1-1-111220000-2-2-2-11-21111-1-10-200000220000001100-1-100010-1
χ2922222222-2-22222-12-12-12-1-2-2-1-1-1-1-2-2110022001-22-1-1-11111-20000-22000000-1-10011000010-10
χ3022222222-2-22222-12-12-12-1-2-2-1-1-1-1-2-21100-2-2001-22-1-1-11111200002-20000001100-1-10000-1010
χ3122222222-2-2222-12-12-12-12-2-2-1-1-1-111-2-2000022-21-12-1-111110-200000-22000000-1-1001100010-1
χ3222222222-2-2222-12-12-12-12-2-2-1-1-1-111-2-20000-2-2-21-12-1-1111102000002-20000001100-1-1000-101
χ3322-2-222-2-2000002222-2-2-2-20022-2-200002-22-22-200000000000000000002-2002-22-20000000000
χ3422-2-222-2-2000002222-2-2-2-20022-2-200002-2-22-2200000000000000000002-200-22-220000000000
χ3522-2-222-2-2000002222-2-2-2-20022-2-20000-222-2-220000000000000000000-22002-2-220000000000
χ3622-2-222-2-2000002222-2-2-2-20022-2-20000-22-222-20000000000000000000-2200-222-20000000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000-2222-1-111-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-2-44111122-2-20000002-222-1-1-1-111000000000000000000000000000
χ4044444444-4-4444-2-2-2-2-2-2-2-2-4-41111222200000022-2-211-1-1-1-1000000000000000000000000000
χ4144-4-444-4-4000004-24-2-42-4200-2-2220000004-40000000000000000000000000-22000000000000
χ4244-4-444-4-4000004-24-2-42-4200-2-222000000-4400000000000000000000000002-2000000000000
χ4344-4-444-4-400000-24-242-42-400-2-222000000004-40000000000000000000000000-220000000000
χ4444-4-444-4-400000-24-242-42-400-2-22200000000-4400000000000000000000000002-20000000000
χ454-44-44-44-40000044-4-444-4-4004-4-4400000000000000000000000000000000000000000000000
χ464-44-44-44-4000004-2-424-2-4200-222-2000000000000000000000000000000000000023−2300000000
χ474-44-44-44-4000004-2-424-2-4200-222-20000000000000000000000000000000000000−232300000000
χ484-44-44-44-400000-242-4-242-400-222-200000000000000000000000000000000000000023−23000000
χ494-44-44-44-400000-242-4-242-400-222-2000000000000000000000000000000000000000−2323000000
χ504-4-444-4-440000044-4-4-4-444004-44-400000000000000000000000000000000000000000000000
χ514-4-444-4-44000004-2-42-424-200-22-220023−230000000000000023−23000000000000000000000000000
χ524-4-444-4-44000004-2-42-424-200-22-2200−232300000000000000−2323000000000000000000000000000
χ534-4-444-4-4400000-242-42-4-2400-22-2223−230000000000000023−2300000000000000000000000000000
χ544-4-444-4-4400000-242-42-4-2400-22-22−232300000000000000−232300000000000000000000000000000
χ554-4-444-4-4400000-2-22222-2-2001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ564-4-444-4-4400000-2-22222-2-2001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ574-4-444-4-4400000-2-22222-2-2001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ584-4-444-4-4400000-2-22222-2-2001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-3000000002200000000000000002220000-1-1-1-100000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-300000000-2-20000000000000000-2-2-20000111100000000110000
χ616666-3-3-3-36-6-63300000000-33000000002200000000000000002-2-20000-1-11100000000-110000
χ626666-3-3-3-36-6-63300000000-3300000000-2-20000000000000000-222000011-1-1000000001-10000
χ636666-3-3-3-3-66-633000000003-300000000220000000000000000-22-20000-1-111000000001-10000
χ646666-3-3-3-3-66-633000000003-300000000-2-200000000000000002-22000011-1-100000000-110000
χ656666-3-3-3-3-6-66-3-3000000003300000000220000000000000000-2-220000-1-1-1-100000000110000
χ666666-3-3-3-3-6-66-3-3000000003300000000-2-2000000000000000022-20000111100000000-1-10000
χ6788-8-888-8-800000-4-4-4-444440022-2-200000000000000000000000000000000000000000000000
χ688-88-88-88-800000-4-444-4-444002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000000000000000000000004-400000000000000000000000-220000000000000000
χ701212-12-12-6-66600000000000000000000000-44000000000000000000000002-20000000000000000
χ7112-1212-12-66-660000000000000000000000000000000000000000000000000023−2300000000000000
χ7212-1212-12-66-6600000000000000000000000000000000000000000000000000−232300000000000000
χ7312-12-1212-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000

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