Finite Group Databasebeta

← Group #13149605

Character table — Group #13149605

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212122244441212121212121212121222444444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-11-11-1-11-1-1-1-1-111-1-111-1-1-1-11-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-11-11-1-11-1-1-1-1-1-111-1-111-1-1-11-11
χ5111111111-1-1-1-1111111111-1111111-1-11111111-1-1-1-1-111-1-11-11-1-1-1-1-1111-1-111-1-111111-1-1-1-11
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-11-1-1-1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-11-1111-1
χ7111111111-1-1-1-1111111111-1111111-1-1-1-111-1-11-1-1-1-1-111-1-1-1111-111-1-1-1-111111111-1-1-11-11-1-1
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-11-1-11-1111-1-111-1-1-1-1-1-111-111-111
χ911111111-11-1-1-111111111-111111-1-111111111-11-1-1-1-1-1-111-11-11-1-1-11-111-1-1-1-1111111-11-1-11-1
χ1011111111-11-1-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-111-111-111-1-1111-1-111-1-1-1-1-1-1-1111-11
χ1111111111-11-1-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-11-1-1111
χ1211111111-11-1-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-1111-1111-11-1-1-1-1111111-1-1111-11-1-1-1
χ1311111111-1-111111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-111-1-1
χ1411111111-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-111
χ1511111111-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-11-1-1-1-1-1-11111-1-1111-1-11
χ1611111111-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-11-1-1-1-1-111-1-1-1-11111-111-1
χ1722222222222222-12-12-12-122-1-1-1-122-1-1000022-122-1-1-1-1-1-1-1000202002000000-1-100-1-1000-10-1
χ1822222222222222-12-12-12-122-1-1-1-122-1-10000-2-2-122-1-1-1-1-1-1-1000-20-200-2000000110011000101
χ192222222222222-12-12-12-1222-1-1-1-1-1-1220022002-1-12-1-1-1-1-1-10020200200000-1-100-1-10000-10-10
χ202222222222222-12-12-12-1222-1-1-1-1-1-12200-2-2002-1-12-1-1-1-1-1-100-20-200-20000011001100001010
χ21222222222-2-2-2-22-12-12-12-12-2-1-1-1-12211000022-1-2-2111-1-111000-20-20020000001100-1-100010-1
χ22222222222-2-2-2-22-12-12-12-12-2-1-1-1-122110000-2-2-1-2-2111-1-11100020200-2000000-1-10011000-101
χ23222222222-2-2-2-2-12-12-12-122-2-1-1-1-1-1-1-2-2002200211-211-1-1110020-200-200000-1-100-1-100001010
χ24222222222-2-2-2-2-12-12-12-122-2-1-1-1-1-1-1-2-200-2-200211-211-1-11100-202002000001100110000-10-10
χ2522222222-22-2-2-22-12-12-12-1-22-1-1-1-1-2-2-1-100002212-211111-1-100020-200-2000000-1-100-1-1000101
χ2622222222-22-2-2-22-12-12-12-1-22-1-1-1-1-2-2-1-10000-2-212-211111-1-1000-202002000000110011000-10-1
χ2722222222-22-2-2-2-12-12-12-12-22-1-1-1-11122002200-2-11-21111-1-100-20-2002000001100-1-1000010-10
χ2822222222-22-2-2-2-12-12-12-12-22-1-1-1-1112200-2-200-2-11-21111-1-10020200-200000-1-100110000-1010
χ2922222222-2-22222-12-12-12-1-2-2-1-1-1-1-2-2110000221-22-1-1-11111000-20200-20000001100-1-1000-101
χ3022222222-2-22222-12-12-12-1-2-2-1-1-1-1-2-2110000-2-21-22-1-1-1111100020-2002000000-1-1001100010-1
χ3122222222-2-2222-12-12-12-12-2-2-1-1-1-111-2-2002200-21-12-1-1111100-20200-2000001100-1-10000-1010
χ3222222222-2-2222-12-12-12-12-2-2-1-1-1-111-2-200-2-200-21-12-1-111110020-200200000-1-10011000010-10
χ332-22-22-22-20000022-2-222-2-2002-2-2200002-22i−2i2i−2i00000000000000000002-20000002i−2i2i−2i000000
χ342-22-22-22-20000022-2-222-2-2002-2-2200002-2−2i2i−2i2i00000000000000000002-2000000−2i2i−2i2i000000
χ352-22-22-22-20000022-2-222-2-2002-2-220000-222i−2i−2i2i0000000000000000000-220000002i−2i−2i2i000000
χ362-22-22-22-20000022-2-222-2-2002-2-220000-22−2i2i2i−2i0000000000000000000-22000000−2i2i2i−2i000000
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
χ4144-4-444-4-4000004444-4-4-4-40044-4-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-24-2-42-4200-2-22200000000000000000000000000000000000−2i32i30000000000
χ4344-4-444-4-4000004-24-2-42-4200-2-222000000000000000000000000000000000002i3−2i30000000000
χ4444-4-444-4-400000-24-242-42-400-2-222000000000000000000000000000000000−2i32i3000000000000
χ4544-4-444-4-400000-24-242-42-400-2-2220000000000000000000000000000000002i3−2i3000000000000
χ464-44-44-44-4000004-2-424-2-4200-222-2000000004i−4i00000000000000000000000000000−2i2i000000
χ474-44-44-44-4000004-2-424-2-4200-222-200000000−4i4i000000000000000000000000000002i−2i000000
χ484-44-44-44-400000-242-4-242-400-222-20000004i−4i00000000000000000000000000000−2i2i00000000
χ494-44-44-44-400000-242-4-242-400-222-2000000−4i4i000000000000000000000000000002i−2i00000000
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
χ596666-3-3-3-3666-3-300000000-3-3000000002200000000000000220000200-1-1-1-100000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-300000000-2-200000000000000-2-20000-200111100000000110000
χ616666-3-3-3-36-6-63300000000-330000000022000000000000002-20000-200-1-11100000000-110000
χ626666-3-3-3-36-6-63300000000-3300000000-2-200000000000000-22000020011-1-1000000001-10000
χ636666-3-3-3-3-66-633000000003-3000000002200000000000000-220000-200-1-111000000001-10000
χ646666-3-3-3-3-66-633000000003-300000000-2-2000000000000002-2000020011-1-100000000-110000
χ656666-3-3-3-3-6-66-3-30000000033000000002200000000000000-2-20000200-1-1-1-100000000110000
χ666666-3-3-3-3-6-66-3-3000000003300000000-2-200000000000000220000-200111100000000-1-10000
χ6788-8-888-8-800000-4-4-4-444440022-2-200000000000000000000000000000000000000000000000
χ688-88-88-88-800000-4-444-4-444002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-6660000000000000000000000000000000000000000000000000023−2300000000000000
χ701212-12-12-6-66600000000000000000000000000000000000000000000000000−232300000000000000
χ7112-1212-12-66-66000000000000000000000004-400000000000000000000000-220000000000000000
χ7212-1212-12-66-6600000000000000000000000-44000000000000000000000002-20000000000000000
χ7312-12-1212-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000

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