Finite Group Databasebeta

← Group #13149497

Character table — Group #13149497

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121222444444444412121212121212121212244444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111-111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-111111111111-1-11-1-1-1-1-1-111-1-111-1-11-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111-1-1-1-1111111111-1111111-1-11111-1-111-1-111-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-1-1-111-1-1-11-1-111-1-1-1-11-11-11111-1-1-1-1-1-111-1-11-11-111
χ7111111111-1-1-1-1111111111-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-11-1111
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-111111111-11-1-111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-11-11111111111-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11-1-1-11-111111111-1-1-1-11-1-1-11-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-111-1-111111-11-1-1-111-1-1-1-1-11-111111-1-1-1-11111-1-1-11-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-111-1-1111-1-11-1-1-1-111-1-1-1-111111-1-11
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-111-1-1-11111-1-1-1-1-1-1-11111-1-1-11111-1
χ1311111111-1-11-1-111111111-111111-1-1111111-1-11111-1-1-1-1-11-1-1-1-111-11-1-1-1111-1-1111111-1-1-11-1-1-11
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-111-111-1-1-1-1-1-1-1-11111-111-1
χ1511111111-1-11-1-111111111-111111-1-111-1-11111-1-11111-1-1-11-1-1-1-111-1-11-11-1-1-11111-1-11111-1-11-11-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111-111-11-1-111-1-111-1-1-1-11-111-11
χ1722222222222222-12-1-12-1222-1-1-1-122-1-1002200002200-1-122-1-1-1-1-1-12002000000-1-100-1-100-100-100
χ1822222222222222-12-1-12-1222-1-1-1-122-1-100-2-20000-2-200-1-122-1-1-1-1-1-1-200-200000011001100100100
χ192222222222222-12-122-12-122-1-1-1-1-1-12200000022002222-1-1-1-1-1-1-1-1000022000000-1-100-1-10000-1-1
χ202222222222222-12-122-12-122-1-1-1-1-1-122000000-2-200-2-222-1-1-1-1-1-1-1-10000-2-2000000110011000011
χ21222222222-2-2-2-22-12-1-12-122-2-1-1-1-1221100220000-2-2001-1-2-2-1-11111-2002000000-1-1001100100-100
χ22222222222-2-2-2-22-12-1-12-122-2-1-1-1-1221100-2-2000022001-1-2-2-1-11111200-20000001100-1-100-100100
χ23222222222-2-2-2-2-12-122-12-12-2-1-1-1-1-1-1-2-2000000220022-2211-1-111110000-2-2000000-1-100-1-1000011
χ24222222222-2-2-2-2-12-122-12-12-2-1-1-1-1-1-1-2-2000000-2-200-2-2-2211-1-111110000220000001100110000-1-1
χ2522222222-22-2222-12-1-12-12-2-2-1-1-1-1-2-21100220000-2-200-112-211-1-111200-2000000-1-1001100-100100
χ2622222222-22-2222-12-1-12-12-2-2-1-1-1-1-2-21100-2-200002200-112-211-1-111-20020000001100-1-100100-100
χ2722222222-22-222-12-122-12-1-2-2-1-1-1-111-2-20000002200-2-22-2-1111-1-11100002-2000000-1-100110000-11
χ2822222222-22-222-12-122-12-1-2-2-1-1-1-111-2-2000000-2-200222-2-1111-1-1110000-220000001100-1-100001-1
χ2922222222-2-22-2-22-12-1-12-12-22-1-1-1-1-2-2-1-100220000220011-221111-1-1-200-2000000-1-100-1-100100100
χ3022222222-2-22-2-22-12-1-12-12-22-1-1-1-1-2-2-1-100-2-20000-2-20011-221111-1-1200200000011001100-100-100
χ3122222222-2-22-2-2-12-122-12-1-22-1-1-1-111220000002200-2-2-2-21-11111-1-10000-22000000-1-1001100001-1
χ3222222222-2-22-2-2-12-122-12-1-22-1-1-1-11122000000-2-20022-2-21-11111-1-100002-20000001100-1-10000-11
χ332-22-22-2-220000022-22-22-2-2002-2-22000000002-2002i−2i2i−2i0000000000000000002-200002i−2i2i−2i000000
χ342-22-22-2-220000022-22-22-2-2002-2-22000000002-200−2i2i−2i2i0000000000000000002-20000−2i2i−2i2i000000
χ352-22-22-2-220000022-22-22-2-2002-2-2200000000-22002i−2i−2i2i000000000000000000-2200002i−2i−2i2i000000
χ362-22-22-2-220000022-22-22-2-2002-2-2200000000-2200−2i2i2i−2i000000000000000000-220000−2i2i2i−2i000000
χ372-2-2222-2-20000022-2-2-2-2220022-2-200002-22i−2i002i−2i000000000000000000002-2002i−2i2i−2i0000000000
χ382-2-2222-2-20000022-2-2-2-2220022-2-200002-2−2i2i00−2i2i000000000000000000002-200−2i2i−2i2i0000000000
χ392-2-2222-2-20000022-2-2-2-2220022-2-20000-222i−2i00−2i2i00000000000000000000-22002i−2i−2i2i0000000000
χ402-2-2222-2-20000022-2-2-2-2220022-2-20000-22−2i2i002i−2i00000000000000000000-2200−2i2i2i−2i0000000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-24-41111-2-2220000000000002-22211-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-411112222000000000000-22-22-1-111-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2000000000000222-2-1-1-1-111000000000000000000000000
χ4544-4-44-44-400000444-44-4-4-4004-44-400000000000000000000000000000000000000000000000000
χ4644-4-44-44-4000004-242-2-42-400-22-220023−230000000000000000000023−23000000000000000000000000
χ4744-4-44-44-4000004-242-2-42-400-22-2200−232300000000000000000000−2323000000000000000000000000
χ4844-4-44-44-400000-24-2-442-4200-22-22−2i32i3000000000000000000−2i32i30000000000000000000000000000
χ4944-4-44-44-400000-24-2-442-4200-22-222i3−2i30000000000000000002i3−2i30000000000000000000000000000
χ5044-4-44-44-400000-2-2-22-2222001-11-1−2i32i323−230000000000000000i3−i33i−3i−33000000000000000000000000
χ5144-4-44-44-400000-2-2-22-2222001-11-1−2i32i3−23230000000000000000i3−i3−3i3i3−3000000000000000000000000
χ5244-4-44-44-400000-2-2-22-2222001-11-12i3−2i323−230000000000000000−i3i3−3i3i−33000000000000000000000000
χ5344-4-44-44-400000-2-2-22-2222001-11-12i3−2i3−23230000000000000000−i3i33i−3i3−3000000000000000000000000
χ544-44-44-4-44000004-2-4-2242-400-222-20000000000004i−4i00000000000000000000000000−2i2i00000000
χ554-44-44-4-44000004-2-4-2242-400-222-2000000000000−4i4i000000000000000000000000002i−2i00000000
χ564-44-44-4-4400000-2424-4-2-4200-222-2000000000000004i−4i00000000000000000000000000−2i2i000000
χ574-44-44-4-4400000-2424-4-2-4200-222-200000000000000−4i4i000000000000000000000000002i−2i000000
χ584-4-4444-4-4000004-2-422-4-2400-2-2220000004i−4i0000000000000000000000000000−2i2i000000000000
χ594-4-4444-4-4000004-2-422-4-2400-2-222000000−4i4i00000000000000000000000000002i−2i000000000000
χ604-4-4444-4-400000-242-4-424-200-2-22200000000004i−4i00000000000000000000000000−2i2i0000000000
χ614-4-4444-4-400000-242-4-424-200-2-2220000000000−4i4i000000000000000000000000002i−2i0000000000
χ626666-3-3-3-3666-3-300000000-3-3000000002200220000000000000000022000-1-1-1-1000000000-1-1000
χ636666-3-3-3-3666-3-300000000-3-300000000-2-200-2-200000000000000000-2-2000111100000000011000
χ646666-3-3-3-36-6-63300000000-33000000002200-2-200000000000000000-22000-1-1110000000001-1000
χ656666-3-3-3-36-6-63300000000-3300000000-2-20022000000000000000002-200011-1-1000000000-11000
χ666666-3-3-3-3-66-6-3-300000000330000000022002200000000000000000-2-2000-1-1-1-100000000011000
χ676666-3-3-3-3-66-6-3-3000000003300000000-2-200-2-200000000000000000220001111000000000-1-1000
χ686666-3-3-3-3-6-6633000000003-3000000002200-2-2000000000000000002-2000-1-111000000000-11000
χ696666-3-3-3-3-6-6633000000003-300000000-2-2002200000000000000000-2200011-1-10000000001-1000
χ708-88-88-8-8800000-4-44-44-444002-2-2200000000000000000000000000000000000000000000000000
χ718-8-8888-8-800000-4-44444-4-40022-2-200000000000000000000000000000000000000000000000000
χ721212-12-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-666-60000000000000000000000000004-4000000000000000000000000-2200000000000000
χ7512-1212-12-666-6000000000000000000000000000-440000000000000000000000002-200000000000000
χ7612-12-1212-6-666000000000000000000000004-400000000000000000000000000-220000000000000000
χ7712-12-1212-6-66600000000000000000000000-44000000000000000000000000002-20000000000000000

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