Finite Group Databasebeta

← Group #13149423

Character table — Group #13149423

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212224444121212121212121212122244444446666121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-11-11-1-1-1-1-111-1-1-1-111-1-11-1-11-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-111-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-11-1-11111111-1-1-1-1-1-1-1-1-1111-11
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-1-11-111-1-1-1-1-1-1-1-11111111-11-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1111111-1-11-1-1-1-11
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-11-1-111-1-1-1-1-1-1-1111-1-1-111-1-1111111-11-1-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-11-1-111-1-1-111-111-1-11111111-1-111-1-1-1-11-11-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-11-1-111-1-11-1-111-11-11-1-1-1-111-1-1-1-1111-111-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-11-1-111-1-11111-1-1-11-111-1-1-1-111-1-1-1-111-111-1
χ1311111111-1-11-1-111111111-111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1111-11-1-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-11-1-1-1-1-1111-11-11-111-1-1-11111-1-1-1-1-1-111-1-111
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-11-1-1-1-1-111-11-1111-11-111-1-111-1-11111-11-11-1-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-11-1-1-1-1-111-1-111-111-11-1-1-1-1-1-11111-1-1-1-11111
χ1722222222222222-12-1-12-1222-1-1-1-1-1-122220000-12-12-1-1-1-1-1-120020200000-1-10000-1-100-100-100
χ1822222222222222-12-1-12-1222-1-1-1-1-1-122-2-20000-12-12-1-1-1-1-1-1-200-20-2000001100001100100100
χ192222222222222-12-122-12-122-1-1-1-122-1-10022002-12-1-1-1-1-1-1-1022000200-1-100000000-1-10000-1-1
χ202222222222222-12-122-12-122-1-1-1-122-1-100-2-2002-12-1-1-1-1-1-1-10-2-2000-200110000000011000011
χ21222222222-2-2222-12-1-12-12-2-2-1-1-1-111-2-2220000-121-2-1-11111-20020-200000-1-100001100100-100
χ22222222222-2-2222-12-1-12-12-2-2-1-1-1-111-2-2-2-20000-121-2-1-11111200-20200000110000-1-100-100100
χ23222222222-2-222-12-122-12-1-2-2-1-1-1-1-2-2110022002-1-21-1-111110-22000-2001100000000-1-10000-11
χ24222222222-2-222-12-122-12-1-2-2-1-1-1-1-2-21100-2-2002-1-21-1-1111102-2000200-1-1000000001100001-1
χ2522222222-22-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-22200001-21211-1-111-200-20200000-1-10000-1-100100100
χ2622222222-22-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-2-2-200001-21211-1-11120020-2000001100001100-100-100
χ2722222222-22-2-2-2-12-122-12-12-2-1-1-1-12211002200-21-2-111-1-1110-2-20002001100000000-1-100001-1
χ2822222222-22-2-2-2-12-122-12-12-2-1-1-1-1221100-2-200-21-2-111-1-111022000-200-1-100000000110000-11
χ2922222222-2-22-2-22-12-1-12-12-22-1-1-1-111222200001-2-1-21111-1-1200-20-200000-1-100001100-100100
χ3022222222-2-22-2-22-12-1-12-12-22-1-1-1-11122-2-200001-2-1-21111-1-1-20020200000110000-1-100100-100
χ3122222222-2-22-2-2-12-122-12-1-22-1-1-1-1-2-2-1-1002200-21211111-1-102-2000-200-1-100000000-1-1000011
χ3222222222-2-22-2-2-12-122-12-1-22-1-1-1-1-2-2-1-100-2-200-21211111-1-10-220002001100000000110000-1-1
χ332-2-222-2-220000022-2-2-2-222002-2-2200002-22-22-20000000000000000000002-2002-2002-2000000
χ342-2-222-2-220000022-2-2-2-222002-2-2200002-2-22-220000000000000000000002-200-2200-22000000
χ352-2-222-2-220000022-2-2-2-222002-2-220000-222-2-22000000000000000000000-2200-22002-2000000
χ362-2-222-2-220000022-2-2-2-222002-2-220000-22-222-2000000000000000000000-22002-200-22000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-2-22211-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000222-2-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-200000022-22-1-1-1-111000000000000000000000000000
χ4144-4-444-4-40000044-44-44-4-4004-44-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-4-2242-400-22-2223−230000000000000023−2300000000000000000000000000000
χ4344-4-444-4-4000004-2-4-2242-400-22-22−232300000000000000−232300000000000000000000000000000
χ4444-4-444-4-400000-2424-4-2-4200-22-220023−230000000000000023−23000000000000000000000000000
χ4544-4-444-4-400000-2424-4-2-4200-22-2200−232300000000000000−2323000000000000000000000000000
χ4644-4-444-4-400000-2-22-22-222001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-22-22-222001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-22-22-222001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-22-22-222001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ504-44-44-44-400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000000
χ514-44-44-44-4000004-242-2-42-400-2-222000000000000000000000000000000000000023−2300000000
χ524-44-44-44-4000004-242-2-42-400-2-2220000000000000000000000000000000000000−232300000000
χ534-44-44-44-400000-24-2-442-4200-2-22200000000000000000000000000000−2i32i30000000000000000
χ544-44-44-44-400000-24-2-442-4200-2-222000000000000000000000000000002i3−2i30000000000000000
χ554-4-444-4-44000004-2-422-4-2400-222-200004-40000000000000000000000000-2200000000000000
χ564-4-444-4-44000004-2-422-4-2400-222-20000-4400000000000000000000000002-200000000000000
χ574-4-444-4-4400000-242-4-424-200-222-20000004-40000000000000000000000000000000-22000000
χ584-4-444-4-4400000-242-4-424-200-222-2000000-4400000000000000000000000000000002-2000000
χ596666-3-3-3-3666-3-300000000-3-30000000000002200000000000000200220000-1-1-1-100000-1-1000
χ606666-3-3-3-3666-3-300000000-3-3000000000000-2-200000000000000-200-2-2000011110000011000
χ616666-3-3-3-36-6-6-3-300000000330000000000002200000000000000200-2-20000-1-1-1-10000011000
χ626666-3-3-3-36-6-6-3-30000000033000000000000-2-200000000000000-200220000111100000-1-1000
χ636666-3-3-3-3-66-63300000000-330000000000002200000000000000-2002-2000011-1-100000-11000
χ646666-3-3-3-3-66-63300000000-33000000000000-2-200000000000000200-220000-1-111000001-1000
χ656666-3-3-3-3-6-6633000000003-30000000000002200000000000000-200-22000011-1-1000001-1000
χ666666-3-3-3-3-6-6633000000003-3000000000000-2-2000000000000002002-20000-1-11100000-11000
χ678-88-88-88-800000-4-4-44-44440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-66-660000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7212-1212-12-66-6600000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ7312-12-1212-666-60000000000000000000000000004-40000000000000000000000000-220000000000
χ7412-12-1212-666-6000000000000000000000000000-4400000000000000000000000002-20000000000

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