Finite Group Databasebeta

← Group #13149407

Character table — Group #13149407

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212444444121212121212121212122444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-11-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-1-1-111-11-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111111111111-11-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11-1-11
χ5111111111-1-11111111111-1-11111-1-1-1-11111111-11-111-1-1-1-1-1-11-1-1-111-1-1-11111-1-11111-1-111-1-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11-11-111-1-1-1-11-1-1-1111-1111-1-1-1-1-1-111-1-111-11-11
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11-11-111-1-1-1-111-11-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111111-11-1
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-11-1-111-1-1-1-1-111-1-1-11-1-1-1-1111111111-1-1-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-11-1-111-1-11-111-11-11-11111-1-11111-1-1-111-1-1-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-11-1-111-1-1111-11-11-1-111-1-111-1-1-1-1-1-11-1111-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-11-1-111-1-1-11-1-1-11111-1-111-1-1-1-1-1-111-11-1111
χ1311111111-1-11-1-111111111-111111-1-111111111-11-1-1-1-1-1-11111-1-1-11-1-1-111-1-111-1-11111-11-1-11-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-111-111-11-1-111-1-111-1-1-1-111-1-11-11-111
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-111-1-111-111-11-1-1-1-11111-1-1-1-1-1111-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-1111-1-111-111-11111-1-111-1-1111-1-11-1-1
χ1722222222222222-1-12-122-122-1-1-1-122-1-1000022-122-1-1-1-1-1-1-1202000002-1-100000000-1-100-100-1
χ1822222222222222-1-12-122-122-1-1-1-122-1-10000-2-2-122-1-1-1-1-1-1-1-20-200000-2110000000011001001
χ192222222222222-122-12-1-1222-1-1-1-1-1-1222200002-1-12-1-1-1-1-1-1020200200000000-1-1-1-100000-1-10
χ202222222222222-122-12-1-1222-1-1-1-1-1-122-2-200002-1-12-1-1-1-1-1-10-20-200-200000000111100000110
χ21222222222-2-2222-1-12-122-1-2-2-1-1-1-1-2-211000022-1-221-1-11111-20200000-21100000000-1-100-1001
χ22222222222-2-2222-1-12-122-1-2-2-1-1-1-1-2-2110000-2-2-1-221-1-1111120-2000002-1-1000000001100100-1
χ23222222222-2-222-122-12-1-12-2-2-1-1-1-111-2-222000021-1-2-1-111110-20-20020000000011-1-100000-110
χ24222222222-2-222-122-12-1-12-2-2-1-1-1-111-2-2-2-2000021-1-2-1-11111020200-200000000-1-111000001-10
χ2522222222-22-2-2-22-1-12-122-12-2-1-1-1-122110000221-2-2-111-1-111-20-20000021100000000-1-100100-1
χ2622222222-22-2-2-22-1-12-122-12-2-1-1-1-122110000-2-21-2-2-111-1-11120200000-2-1-1000000001100-1001
χ2722222222-22-2-2-2-122-12-1-122-2-1-1-1-1-1-1-2-2220000-211211-1-1110-20200-200000000-1-1-1-100000110
χ2822222222-22-2-2-2-122-12-1-122-2-1-1-1-1-1-1-2-2-2-20000-211211-1-111020-200200000000111100000-1-10
χ2922222222-2-22-2-22-1-12-122-1-22-1-1-1-1-2-2-1-100002212-211111-1-120-200000-2-1-100000000-1-1001001
χ3022222222-2-22-2-22-1-12-122-1-22-1-1-1-1-2-2-1-10000-2-212-211111-1-1-20200000211000000001100-100-1
χ3122222222-2-22-2-2-122-12-1-12-22-1-1-1-11122220000-2-11-21111-1-1020-200-20000000011-1-1000001-10
χ3222222222-2-22-2-2-122-12-1-12-22-1-1-1-11122-2-20000-2-11-21111-1-10-20200200000000-1-11100000-110
χ332-2-222-22-20000022-2-2-22-22002-2-2200002i−2i2i−2i2-2000000000000000000000002i−2i002i−2i2-2000000
χ342-2-222-22-20000022-2-2-22-22002-2-2200002i−2i−2i2i-2200000000000000000000000−2i2i002i−2i-22000000
χ352-2-222-22-20000022-2-2-22-22002-2-220000−2i2i2i−2i-22000000000000000000000002i−2i00−2i2i-22000000
χ362-2-222-22-20000022-2-2-22-22002-2-220000−2i2i−2i2i2-200000000000000000000000−2i2i00−2i2i2-2000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-22-2211-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000222-2-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-20000002-222-1-1-1-111000000000000000000000000000
χ4144-4-444-4-40000044-4-44-44-4004-44-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-22-4-2-44200-22-220023−230000000000000023−23000000000000000000000000000
χ4344-4-444-4-4000004-22-4-2-44200-22-2200−232300000000000000−2323000000000000000000000000000
χ4444-4-444-4-400000-24-4242-2-400-22-2223−230000000000000023−2300000000000000000000000000000
χ4544-4-444-4-400000-24-4242-2-400-22-22−232300000000000000−232300000000000000000000000000000
χ4644-4-444-4-400000-2-222-22-22001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-222-22-22001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-222-22-22001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-222-22-22001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ504-44-44-4-44000004444-4-4-4-40044-4-400000000000000000000000000000000000000000000000
χ514-44-44-4-44000004-2-242-4-4200-2-22200000000000000000000000000000−2i32i30000000000000000
χ524-44-44-4-44000004-2-242-4-4200-2-222000000000000000000000000000002i3−2i30000000000000000
χ534-44-44-4-4400000-244-2-422-400-2-22200000000000000000000000000000000000−2i32i30000000000
χ544-44-44-4-4400000-244-2-422-400-2-222000000000000000000000000000000000002i3−2i30000000000
χ554-4-444-44-4000004-22-424-4-200-222-2000000004-400000000000000000000000000000-22000000
χ564-4-444-44-4000004-22-424-4-200-222-200000000-44000000000000000000000000000002-2000000
χ574-4-444-44-400000-24-42-4-22400-222-200004i−4i0000000000000000000000000000000−2i2i00000000
χ584-4-444-44-400000-24-42-4-22400-222-20000−4i4i00000000000000000000000000000002i−2i00000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000000002202000-1-1-1-1000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-20000000000000000-2-20-20001111000000110000
χ616666-3-3-3-36-6-6-3-300000000330000000000220000000000000000-2-202000-1-1-1-1000000110000
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-20000000000000000220-20001111000000-1-10000
χ636666-3-3-3-3-66-63300000000-3300000000002200000000000000002-20-200011-1-1000000-110000
χ646666-3-3-3-3-66-63300000000-330000000000-2-20000000000000000-2202000-1-1110000001-10000
χ656666-3-3-3-3-6-6633000000003-30000000000220000000000000000-220-200011-1-10000001-10000
χ666666-3-3-3-3-6-6633000000003-30000000000-2-200000000000000002-202000-1-111000000-110000
χ678-88-88-8-8800000-4-4-4-444440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-88-800000-4-4444-44-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-666-60000000000000000000000000000000000000000000000000023−2300000000000000
χ7212-1212-12-666-600000000000000000000000000000000000000000000000000−232300000000000000
χ7312-12-1212-66-6600000000000000000000000004i−4i0000000000000000000000000−2i2i000000000000
χ7412-12-1212-66-660000000000000000000000000−4i4i00000000000000000000000002i−2i000000000000

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