Finite Group Databasebeta

← Group #13149463

Character table — Group #13149463

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212124444441212121212121212121224444444412121212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-11-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-11-11
χ31111111111111111111111111111111-1-111-1-111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-1111111-11-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111111-1-11-1-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-1-11-11-1111-1-1-1-1-1-111-1-111-11111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-11-1-1-111-1-1-1-111-1-111-1-1111-1-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-111
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-11-1-1-111-1-1-111-1-1-1-11-1-1-111-1-1111111-11-1-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1111-11-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-111-111-1111-1-1111111-1-1-1-111-1-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-11-1-1-111-1-11-1-111-111-1-1-11111-1-1-1-1-1-111-111-1
χ1311111111-1-11-1-111111111-111111-1-1111111111-1-1-1-1-1-1-111-1-1-111-1-1-11-1-11111-1-11111-1-11-11-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-11-1-1-1-1-1-1-1111-111-11-11-111-1-11111-1-11111-1-1-1-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-11-1-1-1-1-1-1-111-11-1-11111-111-1-1-1-1-1-111-1-1-11-1111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-1111-1-1-1-1-1-1-111111-1-1-11-11-1-111-1-111-1-1-1-11-111-11
χ1722222222222222-1-12-12-1222-1-1-1-1-1-122002200-1-122-1-1-1-1-1-1202020000000000-1-1-1-100-1000-10
χ1822222222222222-1-12-12-1222-1-1-1-1-1-12200-2-200-1-122-1-1-1-1-1-1-20-20-20000000000111100100010
χ192222222222222-122-12-12-122-1-1-1-122-1-122000022-1-1-1-1-1-1-1-10202002000000-1-10000-1-1000-10-1
χ202222222222222-122-12-12-122-1-1-1-122-1-1-2-2000022-1-1-1-1-1-1-1-10-20-200-200000011000011000101
χ21222222222-2-2222-1-12-12-12-2-2-1-1-1-111-2-20022001-1-22-1-1111120-20-2000000000011-1-100-100010
χ22222222222-2-2222-1-12-12-12-2-2-1-1-1-111-2-200-2-2001-1-22-1-11111-202020000000000-1-111001000-10
χ23222222222-2-222-122-12-12-1-2-2-1-1-1-1-2-211220000-221-1-1-111110-20-2002000000110000-1-1000-101
χ24222222222-2-222-122-12-12-1-2-2-1-1-1-1-2-211-2-20000-221-1-1-11111020200-2000000-1-100001100010-1
χ2522222222-22-2-2-22-1-12-12-122-2-1-1-1-1-1-1-2-2002200112-211-1-111-2020-20000000000-1-1-1-100100010
χ2622222222-22-2-2-22-1-12-12-122-2-1-1-1-1-1-1-2-200-2-200112-211-1-11120-2020000000000111100-1000-10
χ2722222222-22-2-2-2-122-12-12-12-2-1-1-1-12211220000-2-2-1111-1-111020-200-2000000110000-1-100010-1
χ2822222222-22-2-2-2-122-12-12-12-2-1-1-1-12211-2-20000-2-2-1111-1-1110-202002000000-1-1000011000-101
χ2922222222-2-22-2-22-1-12-12-12-22-1-1-1-11122002200-11-2-21111-1-1-20-202000000000011-1-1001000-10
χ3022222222-2-22-2-22-1-12-12-12-22-1-1-1-1112200-2-200-11-2-21111-1-12020-20000000000-1-11100-100010
χ3122222222-2-22-2-2-122-12-12-1-22-1-1-1-1-2-2-1-12200002-2111111-1-10-20200-2000000-1-10000-1-1000101
χ3222222222-2-22-2-2-122-12-12-1-22-1-1-1-1-2-2-1-1-2-200002-2111111-1-1020-200200000011000011000-10-1
χ332-2-222-2-2200000222-2-22-2-2002-2-2200002i−2i2i−2i2-20000000000000000000002-200002i−2i2i−2i000000
χ342-2-222-2-2200000222-2-22-2-2002-2-2200002i−2i−2i2i-22000000000000000000000-220000−2i2i2i−2i000000
χ352-2-222-2-2200000222-2-22-2-2002-2-220000−2i2i2i−2i-22000000000000000000000-2200002i−2i−2i2i000000
χ362-2-222-2-2200000222-2-22-2-2002-2-220000−2i2i−2i2i2-20000000000000000000002-20000−2i2i−2i2i000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-4111122220000002-22-211-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000022-22-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2000000-2222-1-1-1-111000000000000000000000000000
χ4144-4-444-4-40000044-4-44-4-44004-44-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-22-4-2-42400-22-2223−230000000000000023−2300000000000000000000000000000
χ4344-4-444-4-4000004-22-4-2-42400-22-22−232300000000000000−232300000000000000000000000000000
χ4444-4-444-4-400000-24-4242-4-200-22-220023−230000000000000023−23000000000000000000000000000
χ4544-4-444-4-400000-24-4242-4-200-22-2200−232300000000000000−2323000000000000000000000000000
χ4644-4-444-4-400000-2-222-222-2001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-222-222-2001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-222-222-2001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-222-222-2001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ504-44-44-44-40000044-44-4-44-40044-4-400000000000000000000000000000000000000000000000
χ514-44-44-44-4000004-2242-4-2-400-2-2220000000000000000000000000000000000023−230000000000
χ524-44-44-44-4000004-2242-4-2-400-2-22200000000000000000000000000000000000−23230000000000
χ534-44-44-44-400000-24-4-2-424200-2-222000000000000000000000000000000000−2i32i3000000000000
χ544-44-44-44-400000-24-4-2-424200-2-2220000000000000000000000000000000002i3−2i3000000000000
χ554-4-444-4-44000004-2-2-4242-400-222-20000004i−4i00000000000000000000000000000−2i2i00000000
χ564-4-444-4-44000004-2-2-4242-400-222-2000000−4i4i000000000000000000000000000002i−2i00000000
χ574-4-444-4-4400000-2442-4-2-4200-222-200004i−4i000000000000000000000000000000000−2i2i000000
χ584-4-444-4-4400000-2442-4-2-4200-222-20000−4i4i0000000000000000000000000000000002i−2i000000
χ596666-3-3-3-3666-3-300000000-3-3000000000000220000000000000002022-1-1-1-1000000000-1-1000
χ606666-3-3-3-3666-3-300000000-3-3000000000000-2-2000000000000000-20-2-2111100000000011000
χ616666-3-3-3-36-6-6-3-300000000330000000000002200000000000000020-2-2-1-1-1-100000000011000
χ626666-3-3-3-36-6-6-3-30000000033000000000000-2-2000000000000000-20221111000000000-1-1000
χ636666-3-3-3-3-66-63300000000-3300000000000022000000000000000-202-211-1-1000000000-11000
χ646666-3-3-3-3-66-63300000000-33000000000000-2-200000000000000020-22-1-1110000000001-1000
χ656666-3-3-3-3-6-6633000000003-300000000000022000000000000000-20-2211-1-10000000001-1000
χ666666-3-3-3-3-6-6633000000003-3000000000000-2-2000000000000000202-2-1-111000000000-11000
χ678-88-88-88-800000-4-44-444-440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-4-444-444002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-66-66000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7212-1212-12-66-660000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7312-12-1212-666-60000000000000000000000000004-4000000000000000000000-2200000000000000
χ7412-12-1212-666-6000000000000000000000000000-440000000000000000000002-200000000000000

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