Finite Group Databasebeta

← Group #13149400

Character table — Group #13149400

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121244444444444412121212121212121212444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-11111111111-11-11-1-1-1-1-1-111-1-111-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111-1-1-1-111111111-11111111-1-1111111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-11-11-1-1
χ6111111111-1-1-1-111111111-11111111-1-111-1-1-1-1-1-111-1-1-11-1-111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-111-111
χ7111111111-1-1-1-111111111-11111111-1-1-1-111-1-111-1-1-1-1-11-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-11-1-1111
χ8111111111-1-1-1-111111111-11111111-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-111-1-1-1-111-1-11111111-11-1-1-1
χ911111111-11-11111111111-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1-111-111111111-1-1-1-1-1-11-11-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-11111111-11-1-1-111-1-1-11-1-1-111111-1-1-1-11111-1-1-11-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-111-1-11-111-11-1-1-1-111-1-1-1-111111-1-11
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-111-1-1111-11-1-1-1-1-1-1-11111-1-111-111-1
χ1311111111-1-11-1-1111111111-11111-1-111111111-1-111-1-1-1-1-11-1-1-1-111-1-11-1-1111-1-1111111-1-11-1-1-1-11
χ1411111111-1-11-1-1111111111-11111-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111-11111-111-1-1-1-1-1-1-1-1111-1111-1
χ1511111111-1-11-1-1111111111-11111-1-111-1-111-1-1111111-1-1-11-1-1-1-1111-1-1-11-1-1-11111-1-11111-11-1-11-1
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1111-11
χ1722222222222222-122-1-1-1222-1-1-1-122-1-1002200002200-1-122-1-1-1-1-1-10202000000-1-100-1-10000-1-100
χ1822222222222222-122-1-1-1222-1-1-1-122-1-100-2-20000-2-200-1-122-1-1-1-1-1-10-20-200000011001100001100
χ192222222222222-12-1-1222-122-1-1-1-1-1-12200002200002222-1-1-1-1-1-1-1-1000022000000-1-100-1-10000-1-1
χ202222222222222-12-1-1222-122-1-1-1-1-1-1220000-2-20000-2-222-1-1-1-1-1-1-1-10000-2-2000000110011000011
χ21222222222-2-2-2-22-122-1-1-12-22-1-1-1-1221100220000-2-2001-1-2-2-1-11111020-2000000-1-1001100001-100
χ22222222222-2-2-2-22-122-1-1-12-22-1-1-1-1221100-2-2000022001-1-2-2-1-111110-2020000001100-1-10000-1100
χ23222222222-2-2-2-2-12-1-1222-1-22-1-1-1-1-1-1-2-2000022000022-2211-1-111110000-2-2000000-1-100-1-1000011
χ24222222222-2-2-2-2-12-1-1222-1-22-1-1-1-1-1-1-2-20000-2-20000-2-2-2211-1-111110000220000001100110000-1-1
χ2522222222-22-2222-122-1-1-12-2-2-1-1-1-1-2-21100220000-2-200-112-211-1-1110-202000000-1-100110000-1100
χ2622222222-22-2222-122-1-1-12-2-2-1-1-1-1-2-21100-2-200002200-112-211-1-111020-20000001100-1-100001-100
χ2722222222-22-222-12-1-1222-1-2-2-1-1-1-111-2-20000220000-2-22-2-1111-1-11100002-2000000-1-100110000-11
χ2822222222-22-222-12-1-1222-1-2-2-1-1-1-111-2-20000-2-20000222-2-1111-1-1110000-220000001100-1-100001-1
χ2922222222-2-22-2-22-122-1-1-122-2-1-1-1-1-2-2-1-100220000220011-221111-1-10-20-2000000-1-100-1-100001100
χ3022222222-2-22-2-22-122-1-1-122-2-1-1-1-1-2-2-1-100-2-20000-2-20011-221111-1-102020000001100110000-1-100
χ3122222222-2-22-2-2-12-1-1222-12-2-1-1-1-111220000220000-2-2-2-21-11111-1-10000-22000000-1-1001100001-1
χ3222222222-2-22-2-2-12-1-1222-12-2-1-1-1-111220000-2-2000022-2-21-11111-1-100002-20000001100-1-10000-11
χ3322-2-222-2-20000022-222-2-2-20022-2-200002-22-22-200000000000000000000002-2002-22-20000000000
χ3422-2-222-2-20000022-222-2-2-20022-2-200002-2-22-2200000000000000000000002-200-22-220000000000
χ3522-2-222-2-20000022-222-2-2-20022-2-20000-222-2-220000000000000000000000-22002-2-220000000000
χ3622-2-222-2-20000022-222-2-2-20022-2-20000-22-222-20000000000000000000000-2200-222-20000000000
χ372-2-222-22-20000022-2-2-22-22002-2-2200000000002i−2i2i−2i2-20000000000000000002i−2i00002i−2i2-2000000
χ382-2-222-22-20000022-2-2-22-22002-2-2200000000002i−2i−2i2i-220000000000000000002i−2i0000−2i2i-22000000
χ392-2-222-22-20000022-2-2-22-22002-2-220000000000−2i2i2i−2i-22000000000000000000−2i2i00002i−2i-22000000
χ402-2-222-22-20000022-2-2-22-22002-2-220000000000−2i2i−2i2i2-2000000000000000000−2i2i0000−2i2i2-2000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-2-441111-2-2220000000000002-22211-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-411112222000000000000-22-22-1-111-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-2000000000000222-2-1-1-1-111000000000000000000000000
χ4544-4-444-4-4000004-2-44-222-400-2-2220000004-40000000000000000000000000000-22000000000000
χ4644-4-444-4-4000004-2-44-222-400-2-222000000-4400000000000000000000000000002-2000000000000
χ4744-4-444-4-400000-242-24-4-4200-2-222000000004-40000000000000000000000000000-220000000000
χ4844-4-444-4-400000-242-24-4-4200-2-22200000000-4400000000000000000000000000002-20000000000
χ494-44-44-4-4400000444-4-4-44-4004-44-400000000000000000000000000000000000000000000000000
χ504-44-44-4-44000004-24-422-2-400-22-220023−230000000000000000000023−23000000000000000000000000
χ514-44-44-4-44000004-24-422-2-400-22-2200−232300000000000000000000−2323000000000000000000000000
χ524-44-44-4-4400000-24-22-4-44200-22-22−2i32i3000000000000000000−2i32i30000000000000000000000000000
χ534-44-44-4-4400000-24-22-4-44200-22-222i3−2i30000000000000000002i3−2i30000000000000000000000000000
χ544-44-44-4-4400000-2-2-2222-22001-11-1−2i32i323−230000000000000000i3−i33i−3i−33000000000000000000000000
χ554-44-44-4-4400000-2-2-2222-22001-11-1−2i32i3−23230000000000000000i3−i3−3i3i3−3000000000000000000000000
χ564-44-44-4-4400000-2-2-2222-22001-11-12i3−2i323−230000000000000000−i3i3−3i3i−33000000000000000000000000
χ574-44-44-4-4400000-2-2-2222-22001-11-12i3−2i3−23230000000000000000−i3i33i−3i3−3000000000000000000000000
χ584-4-444-44-4000004-2-4-42-22400-222-20000000000004i−4i00000000000000000000000000−2i2i00000000
χ594-4-444-44-4000004-2-4-42-22400-222-2000000000000−4i4i000000000000000000000000002i−2i00000000
χ604-4-444-44-400000-2422-44-4-200-222-2000000000000004-400000000000000000000000000-22000000
χ614-4-444-44-400000-2422-44-4-200-222-200000000000000-44000000000000000000000000002-2000000
χ626666-3-3-3-3666-3-300000000-3-3000000002200002200000000000000202000-1-1-1-100000000-1-10000
χ636666-3-3-3-3666-3-300000000-3-300000000-2-20000-2-200000000000000-20-2000111100000000110000
χ646666-3-3-3-36-6-633000000003-300000000220000-2-20000000000000020-2000-1-111000000001-10000
χ656666-3-3-3-36-6-633000000003-300000000-2-200002200000000000000-20200011-1-100000000-110000
χ666666-3-3-3-3-66-6-3-30000000033000000002200002200000000000000-20-2000-1-1-1-100000000110000
χ676666-3-3-3-3-66-6-3-3000000003300000000-2-20000-2-200000000000000202000111100000000-1-10000
χ686666-3-3-3-3-6-663300000000-3300000000220000-2-200000000000000-202000-1-11100000000-110000
χ696666-3-3-3-3-6-663300000000-3300000000-2-20000220000000000000020-200011-1-1000000001-10000
χ7088-8-888-8-800000-4-44-4-44440022-2-200000000000000000000000000000000000000000000000000
χ718-8-888-88-800000-4-4444-44-4002-2-2200000000000000000000000000000000000000000000000000
χ721212-12-12-6-666000000000000000000000004-400000000000000000000000000-220000000000000000
χ731212-12-12-6-66600000000000000000000000-44000000000000000000000000002-20000000000000000
χ7412-1212-12-666-600063−630000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-666-6000−63630000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-66-66000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ7712-12-1212-66-6600000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000

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