Finite Group Databasebeta

← Group #13149438

Character table — Group #13149438

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212224444121212121212121212124444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ31111111111111111111111111111111-1-111-1-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111111-11-1-1-111-1-1-111-1-11-1-1-111111111-1-1-1-1-1-11-11-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-11-11-1-1-111111-1-1-1-1-1-111-1-111-111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11-11-1-1-111-1-1-1-1-1111-111-1-11111-1-11111-1-1-11-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-111-11-1-1-1-1-1-1-1-111-1-111111-1-11
χ911111111-11-1-1-1111111111-1111111-1-1111111-11-1-1-1-1-1-1111-1-11-1-1-11-11111-1-11111-1-11-1-1-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-11-1-1-1-1-1-111-11-11-111-1111-1-111-1-1-1-1-1-1-1111-11
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-11-1-1-1-1-1-111111-11-1-1-11-1-111-1-1-1-1-1-1111-1111-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-11-1-1-1-1-1-111-1-11-11111-1-1-1-1-111111111-11-1-11-1
χ1311111111-1-11-1-111111111-111111-1-111111111-1-1-1111-1-1-1-1-1-1-1-11-11-111111-1-111-1-111-11-11-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11-111-1-111-1-111111-11-1-1-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1-111-1-1-1-111-1-1-111-111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-1-1111-1-1-1-11-111-11-1-11-1-1-1-11111-1-1-1-11-1-1111
χ1722222222222222-1-1-1222-122-1-1-1-122-1-1220000-1-122-1-1-1-1-1-1002220000-1-100000000-1-10000-1-1
χ1822222222222222-1-1-1222-122-1-1-1-122-1-1-2-20000-1-122-1-1-1-1-1-100-2-2-20000110000000011000011
χ192222222222222-1222-1-1-1222-1-1-1-1-1-12200002222-1-1-1-1-1-1-1-1020000022000000-1-1-1-10000-1-100
χ202222222222222-1222-1-1-1222-1-1-1-1-1-1220000-2-222-1-1-1-1-1-1-1-10-200000-2-2000000111100001100
χ21222222222-2-2222-1-1-1222-1-2-2-1-1-1-1-2-211220000-112-211-1-111002-2-20000-1-100000000110000-11
χ22222222222-2-2222-1-1-1222-1-2-2-1-1-1-1-2-211-2-20000-112-211-1-11100-22200001100000000-1-100001-1
χ23222222222-2-222-1222-1-1-12-2-2-1-1-1-111-2-20000222-2-1111-1-1110200000-2-2000000-1-1110000-1100
χ24222222222-2-222-1222-1-1-12-2-2-1-1-1-111-2-20000-2-22-2-1111-1-1110-2000002200000011-1-100001-100
χ2522222222-22-2-2-22-1-1-1222-12-2-1-1-1-122112200001-1-2-21111-1-100-22-20000-1-1000000001100001-1
χ2622222222-22-2-2-22-1-1-1222-12-2-1-1-1-12211-2-200001-1-2-21111-1-1002-2200001100000000-1-10000-11
χ2722222222-22-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-2000022-22111111-1-10-2000002-2000000-1-1-1-100001100
χ2822222222-22-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-20000-2-2-22111111-1-10200000-2200000011110000-1-100
χ2922222222-2-22-2-22-1-1-1222-1-22-1-1-1-1-2-2-1-122000011-22-1-1111100-2-220000-1-100000000-1-1000011
χ3022222222-2-22-2-22-1-1-1222-1-22-1-1-1-1-2-2-1-1-2-2000011-22-1-111110022-200001100000000110000-1-1
χ3122222222-2-22-2-2-1222-1-1-12-22-1-1-1-11122000022-2-21-1-1-111110-200000-22000000-1-11100001-100
χ3222222222-2-22-2-2-1222-1-1-12-22-1-1-1-111220000-2-2-2-21-1-1-1111102000002-200000011-1-10000-1100
χ3322-2-222-2-200000222-22-2-2-20022-2-200002-22-22-200000000000000000002-22-2002-20000000000
χ3422-2-222-2-200000222-22-2-2-20022-2-200002-2-22-2200000000000000000002-2-2200-220000000000
χ3522-2-222-2-200000222-22-2-2-20022-2-20000-222-2-220000000000000000000-222-200-220000000000
χ3622-2-222-2-200000222-22-2-2-20022-2-20000-22-222-20000000000000000000-22-22002-20000000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-22-22-1-111-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-2220000002-222-1-1-1-111000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2000000222-211-1-1-1-1000000000000000000000000000
χ4144-4-444-4-4000004-2-224-4-4200-2-22200004-400000000000000000000000-220000000000000000
χ4244-4-444-4-4000004-2-224-4-4200-2-2220000-44000000000000000000000002-20000000000000000
χ4344-4-444-4-400000-244-4-222-400-2-222000000004-40000000000000000000000000-220000000000
χ4444-4-444-4-400000-244-4-222-400-2-22200000000-4400000000000000000000000002-20000000000
χ454-44-44-44-40000044-44-44-4-4004-4-4400000000000000000000000000000000000000000000000
χ464-44-44-44-4000004-22-2-44-4200-222-200000000000000000000000000000000000000023−23000000
χ474-44-44-44-4000004-22-2-44-4200-222-2000000000000000000000000000000000000000−2323000000
χ484-44-44-44-400000-24-442-22-400-222-2000000000000000000000000000000000000023−2300000000
χ494-44-44-44-400000-24-442-22-400-222-20000000000000000000000000000000000000−232300000000
χ504-4-444-4-440000044-4-4-4-444004-44-400000000000000000000000000000000000000000000000
χ514-4-444-4-44000004-222-4-44-200-22-2200−2i32i30000000000−2i32i30000000000000000000000000000000
χ524-4-444-4-44000004-222-4-44-200-22-22002i3−2i300000000002i3−2i30000000000000000000000000000000
χ534-4-444-4-4400000-24-4-422-2400-22-2223−23000000000000000023−23000000000000000000000000000
χ544-4-444-4-4400000-24-4-422-2400-22-22−23230000000000000000−2323000000000000000000000000000
χ554-4-444-4-4400000-2-22222-2-2001-11-123−23−2i32i30000000000i3−i33i−3i−33000000000000000000000000000
χ564-4-444-4-4400000-2-22222-2-2001-11-123−232i3−2i30000000000−i3i3−3i3i−33000000000000000000000000000
χ574-4-444-4-4400000-2-22222-2-2001-11-1−2323−2i32i30000000000i3−i3−3i3i3−3000000000000000000000000000
χ584-4-444-4-4400000-2-22222-2-2001-11-1−23232i3−2i30000000000−i3i33i−3i3−3000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000020000220000-1-1-1-1000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-2000000000000-20000-2-200001111000000110000
χ616666-3-3-3-36-6-6-3-30000000033000000000022000000000000-200002-20000-1-1-1-1000000110000
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-200000000000020000-2200001111000000-1-10000
χ636666-3-3-3-3-66-63300000000-3300000000002200000000000020000-2-20000-1-111000000-110000
χ646666-3-3-3-3-66-63300000000-330000000000-2-2000000000000-2000022000011-1-10000001-10000
χ656666-3-3-3-3-6-6633000000003-3000000000022000000000000-20000-220000-1-1110000001-10000
χ666666-3-3-3-3-6-6633000000003-30000000000-2-2000000000000200002-2000011-1-1000000-110000
χ6788-8-888-8-800000-4-4-44-44440022-2-200000000000000000000000000000000000000000000000
χ688-88-88-88-800000-4-44-44-444002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-66600000000000000000000000004-400000000000000000000000-2200000000000000
χ701212-12-12-6-6660000000000000000000000000-44000000000000000000000002-200000000000000
χ7112-1212-12-66-66000000000000000000000000000000000000000000000000000023−23000000000000
χ7212-1212-12-66-660000000000000000000000000000000000000000000000000000−2323000000000000
χ7312-12-1212-666-600063−630000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-666-6000−63630000000000000000000000000000000000000000000000000000000000000

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