Finite Group Databasebeta

← Group #13149510

Character table — Group #13149510

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212122244441212121212121212121222444444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111
χ31111111111111111111111111111111-1-111-1-111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-111-1-1-11-1-111111111-1-1-1-1-11-1-11-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-1-1-1-1-111-1-11-1111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11-111-111-1-11111-1-11111-1-1-11-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-111-1-111111-1-11
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-11-1-1-1-1-1111-1-1-11-1-11-11111-1-11111-1-11-1-1-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-11-1-1-1-1-111-1111-11-11-111-1-111-1-1-1-1-1-1-1111-11
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-11-1-1-1-1-11111-1-1-111-11-1-111-1-1-1-1-1-11111-111-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1111-11-11-1-1-1-111111111-1-11-11-1
χ1311111111-1-11-1-111111111-111111-1-111111111-1-1-1111-1-1-1-1-1-1-11-11-1-111111-1-111-1-111-1-111-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1111-11-1-1-1111-1-111-1-1111111-1-1-1-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1111-1-1-1-1-11-111-111-1-1-111-1-1-1-111-1-1-111-111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-1-1111-1-1-1-11-11-1-1111-1-1-1-1-11111-1-1-1-11-1-1111
χ1722222222222222-122-1-1-1222-1-1-1-1-1-1220000222-12-1-1-1-1-1-1-1020022000000000-1-1-1-1000-10-100
χ1822222222222222-122-1-1-1222-1-1-1-1-1-1220000-2-22-12-1-1-1-1-1-1-10-200-2-2000000000111100010100
χ192222222222222-12-1-1222-122-1-1-1-122-1-1220000-12-12-1-1-1-1-1-1000000222-1-100000000-1-10000-1-1
χ202222222222222-12-1-1222-122-1-1-1-122-1-1-2-20000-12-12-1-1-1-1-1-1000000-2-2-2110000000011000011
χ21222222222-2-2222-122-1-1-12-2-2-1-1-1-111-2-20000222-1-2111-1-1110200-2-2000000000-1-111000-10100
χ22222222222-2-2222-122-1-1-12-2-2-1-1-1-111-2-20000-2-22-1-2111-1-1110-2002200000000011-1-100010-100
χ23222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-211220000-121-211-1-1110000002-2-2-1-100000000110000-11
χ24222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-211-2-20000-121-211-1-111000000-2221100000000-1-100001-1
χ2522222222-22-2-2-22-122-1-1-122-2-1-1-1-1-1-1-2-2000022-21211111-1-10-2002-2000000000-1-1-1-100010100
χ2622222222-22-2-2-22-122-1-1-122-2-1-1-1-1-1-1-2-20000-2-2-21211111-1-10200-220000000001111000-10-100
χ2722222222-22-2-2-2-12-1-1222-12-2-1-1-1-122112200001-2-1-21111-1-1000000-22-2-1-1000000001100001-1
χ2822222222-22-2-2-2-12-1-1222-12-2-1-1-1-12211-2-200001-2-1-21111-1-10000002-221100000000-1-10000-11
χ2922222222-2-22-2-22-122-1-1-12-22-1-1-1-11122000022-21-2-1-1-111110-200-22000000000-1-11100010-100
χ3022222222-2-22-2-22-122-1-1-12-22-1-1-1-111220000-2-2-21-2-1-1-1111102002-200000000011-1-1000-10100
χ3122222222-2-22-2-2-12-1-1222-1-22-1-1-1-1-2-2-1-12200001-212-1-11111000000-2-22-1-100000000-1-1000011
χ3222222222-2-22-2-2-12-1-1222-1-22-1-1-1-1-2-2-1-1-2-200001-212-1-1111100000022-21100000000110000-1-1
χ332-22-22-2-2200000222-2-2-22-20022-2-200002-22i−2i2i−2i00000000000000000002-22i−2i002i−2i0000000000
χ342-22-22-2-2200000222-2-2-22-20022-2-200002-2−2i2i−2i2i00000000000000000002-2−2i2i00−2i2i0000000000
χ352-22-22-2-2200000222-2-2-22-20022-2-20000-222i−2i−2i2i0000000000000000000-222i−2i00−2i2i0000000000
χ362-22-22-2-2200000222-2-2-22-20022-2-20000-22−2i2i2i−2i0000000000000000000-22−2i2i002i−2i0000000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-2-222-1-111-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000022-22-1-1-1-111000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2000000222-211-1-1-1-1000000000000000000000000000
χ4144-4-444-4-40000044-444-4-4-4004-4-4400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-44-222-400-222-2000000000000000000000000000000000000023−2300000000
χ4344-4-444-4-4000004-2-44-222-400-222-20000000000000000000000000000000000000−232300000000
χ4444-4-444-4-400000-242-24-4-4200-222-200000000000000000000000000000000000000023−23000000
χ4544-4-444-4-400000-242-24-4-4200-222-2000000000000000000000000000000000000000−2323000000
χ464-44-44-4-44000004-24-422-2-400-2-222000000004i−4i0000000000000000000000000−2i2i0000000000
χ474-44-44-4-44000004-24-422-2-400-2-22200000000−4i4i00000000000000000000000002i−2i0000000000
χ484-44-44-4-4400000-24-22-4-44200-2-22200004-400000000000000000000000-220000000000000000
χ494-44-44-4-4400000-24-22-4-44200-2-2220000-44000000000000000000000002-20000000000000000
χ504-4-444-44-40000044-4-4-44-44004-44-400000000000000000000000000000000000000000000000
χ514-4-444-44-4000004-2-4-42-22400-22-2223−23000000000000000023−23000000000000000000000000000
χ524-4-444-44-4000004-2-4-42-22400-22-22−23230000000000000000−2323000000000000000000000000000
χ534-4-444-44-400000-2422-44-4-200-22-2200−2i32i30000000000−2i32i30000000000000000000000000000000
χ544-4-444-44-400000-2422-44-4-200-22-22002i3−2i300000000002i3−2i30000000000000000000000000000000
χ554-4-444-44-400000-2-2222-22-2001-11-123−23−2i32i30000000000i3−i33i−3i−33000000000000000000000000000
χ564-4-444-44-400000-2-2222-22-2001-11-123−232i3−2i30000000000−i3i3−3i3i−33000000000000000000000000000
χ574-4-444-44-400000-2-2222-22-2001-11-1−2323−2i32i30000000000i3−i3−3i3i3−3000000000000000000000000000
χ584-4-444-44-400000-2-2222-22-2001-11-1−23232i3−2i30000000000−i3i33i−3i3−3000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000020220000000-1-1-1-1000000-10-1000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-2000000000000-20-2-200000001111000000101000
χ616666-3-3-3-36-6-6-3-30000000033000000000022000000000000-202-20000000-1-1-1-1000000101000
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-200000000000020-2200000001111000000-10-1000
χ636666-3-3-3-3-66-63300000000-3300000000002200000000000020-2-20000000-1-111000000-101000
χ646666-3-3-3-3-66-63300000000-330000000000-2-2000000000000-2022000000011-1-100000010-1000
χ656666-3-3-3-3-6-6633000000003-3000000000022000000000000-20-220000000-1-11100000010-1000
χ666666-3-3-3-3-6-6633000000003-30000000000-2-2000000000000202-2000000011-1-1000000-101000
χ6788-8-888-8-800000-4-44-4-4444002-2-2200000000000000000000000000000000000000000000000
χ688-88-88-8-8800000-4-4-4444-440022-2-200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000000000000000000000000000000000000000000000000000023−23000000000000
χ701212-12-12-6-6660000000000000000000000000000000000000000000000000000−2323000000000000
χ7112-1212-12-666-600000000000000000000000004i−4i00000000000000000000000−2i2i00000000000000
χ7212-1212-12-666-60000000000000000000000000−4i4i000000000000000000000002i−2i00000000000000
χ7312-12-1212-66-6600063−630000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-66-66000−63630000000000000000000000000000000000000000000000000000000000000

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