Finite Group Databasebeta

← Group #13149513

Character table — Group #13149513

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121212121212121212121212224444444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111-1-11-1-11-1-1
χ311111111111111111111111111111111111111111-1-111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111-1-1-1-111111111-11111111-1-11-1-1-111-1-1-1-11-11-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111111111-11111111-1-11-1-1-111-1-1-1-11-1-111-11-11-1-1111-1-11111-1-111-11-11-1-1
χ7111111111-1-1-1-111111111-11111111-1-11-1-1-111-1-1-1-1-111-1-1111-1-1-11-1-111-1-11111111-11-1-1-1
χ8111111111-1-1-1-111111111-11111111-1-11-1-1-111-1-1-1-1-11-11-1-1-11111-1-1-1-1-111-1-111-1-111-1-111
χ911111111-11-11111111111-1-11111-1-1-1-1-111-1-1-111-1-1111-1-1-11-111-1-111-1-1-1-111-1-1-1-1111-11-1
χ1011111111-11-11111111111-1-11111-1-1-1-1-111-1-1-111-1-111-11-11-1-1-1-111111111-1-1-1-1111-1-1-1-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-111-1-1-111-1-1-1-11-11-1-111-111-1-1-1-1-1-1-1-11111-1111-11
χ1211111111-11-11111111111-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-111111-11-1-1-1-111111111-1-1-1-1-111-1
χ1311111111-1-11-1-1111111111-11111-1-111-1-1-11-1-1-1-1111-111-1-1-11-11-1111-1-111-1-11111-1-11-11-1
χ1411111111-1-11-1-1111111111-11111-1-111-1-1-11-1-1-1-1111-1-1-1-11111-11-11111-1-11111-1-1-11-1-1-11
χ1511111111-1-11-1-1111111111-11111-1-111-1-1-11-1-1-1-111-11111-11-1-1-11-1-1-1-1-11111-1-1-1-11-111-11
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-11-1-1-1-111-11-1-111-1-111-11-1-111-1-1-1-1-1-11111-111-1
χ1722222222222222-12-12-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-1220020020000-1-1000000-1-100-100-100
χ1822222222222222-12-12-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-2-200-200-20000110000001100100100
χ192222222222222-12-12-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000200222000000-1-100-1-10000-1-1
χ202222222222222-12-12-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-200-2-2-2000000110011000011
χ21222222222-2-2-2-22-12-12-1-12-22-1-1-1-12211-11-2-2-1-111112-200200-20000-1-10000001100100-100
χ22222222222-2-2-2-22-12-12-1-12-22-1-1-1-12211-11-2-2-1-11111-2200-2002000011000000-1-100-100100
χ23222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-22-211-1-11111000000200-2-22000000-1-100-1-1000011
χ24222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-22-211-1-11111000000-20022-20000001100110000-1-1
χ2522222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-2111-12-211-1-1112200-200-20000-1-10000001100-100100
χ2622222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-2111-12-211-1-111-2-2002002000011000000-1-100100-100
χ2722222222-22-222-12-12-122-1-2-2-1-1-1-111-2-2-22-1111-1-1110000002002-2-2000000-1-100110000-11
χ2822222222-22-222-12-12-122-1-2-2-1-1-1-111-2-2-22-1111-1-111000000-200-2220000001100-1-100001-1
χ2922222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-111-221111-1-12-200-20020000-1-1000000-1-100100100
χ3022222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-111-221111-1-1-2200200-20000110000001100-100-100
χ3122222222-2-22-2-2-12-12-122-12-2-1-1-1-11122-2-21-11111-1-1000000200-22-2000000-1-1001100001-1
χ3222222222-2-22-2-2-12-12-122-12-2-1-1-1-11122-2-21-11111-1-1000000-2002-220000001100-1-10000-11
χ334444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2111111000000000000000000000000000000
χ34444444444-4-4-4-4-2-2-2-2-2-2-2-2-441111-2-222-222211-1-1-1-1000000000000000000000000000000
χ3544444444-44-444-2-2-2-2-2-2-2-2-4-4111122222-2-22-1-111-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-2222-2-1-1-1-111000000000000000000000000000000
χ3744-4-44-4-44000004444-4-4-4-4004-44-400000000000000000000000000000000000000000000
χ3844-4-44-4-44000004-24-2-422-400-22-220023−230000000023−23000000000000000000000000000000
χ3944-4-44-4-44000004-24-2-422-400-22-2200−232300000000−2323000000000000000000000000000000
χ4044-4-44-4-4400000-24-242-4-4200-22-22−2i32i3000000−2i32i30000000000000000000000000000000000
χ4144-4-44-4-4400000-24-242-4-4200-22-222i3−2i30000002i3−2i30000000000000000000000000000000000
χ4244-4-44-4-4400000-2-2-2-22222001-11-1−2i32i323−230000i3−i33i−3i−33000000000000000000000000000000
χ4344-4-44-4-4400000-2-2-2-22222001-11-1−2i32i3−23230000i3−i3−3i3i3−3000000000000000000000000000000
χ4444-4-44-4-4400000-2-2-2-22222001-11-12i3−2i323−230000−i3i3−3i3i−33000000000000000000000000000000
χ4544-4-44-4-4400000-2-2-2-22222001-11-12i3−2i3−23230000−i3i33i−3i3−3000000000000000000000000000000
χ464-44-444-4-40000044-4-444-4-40044-4-400000000000000000000000000000000000000000000
χ474-44-444-4-4000004-2-424-22-400-2-222000000000000000000000000000000000023−2300000000
χ484-44-444-4-4000004-2-424-22-400-2-2220000000000000000000000000000000000−232300000000
χ494-44-444-4-400000-242-4-24-4200-2-22200000000000000000000000000000000−2i32i30000000000
χ504-44-444-4-400000-242-4-24-4200-2-222000000000000000000000000000000002i3−2i30000000000
χ514-4-444-44-40000044-4-4-4-444004-4-4400000000000000000000000000000000000000000000
χ524-4-444-44-4000004-2-42-42-2400-222-200000000000000000000000000−2i32i30000000000000000
χ534-4-444-44-4000004-2-42-42-2400-222-2000000000000000000000000002i3−2i30000000000000000
χ544-4-444-44-400000-242-42-44-200-222-2000000000000000000000000000000000000−2i32i3000000
χ554-4-444-44-400000-242-42-44-200-222-20000000000000000000000000000000000002i3−2i3000000
χ566666-3-3-3-3666-3-300000000-3-300000000000000000000220200200000-1-1-1-10000000-1-1000
χ576666-3-3-3-3666-3-300000000-3-300000000000000000000-2-20-200-2000001111000000011000
χ586666-3-3-3-36-6-633000000003-3000000000000000000002-20200-200000-1-11100000001-1000
χ596666-3-3-3-36-6-633000000003-300000000000000000000-220-20020000011-1-10000000-11000
χ606666-3-3-3-3-66-6-3-30000000033000000000000000000002-20-20020000011110000000-1-1000
χ616666-3-3-3-3-66-6-3-3000000003300000000000000000000-220200-200000-1-1-1-1000000011000
χ626666-3-3-3-3-6-663300000000-3300000000000000000000220-200-20000011-1-100000001-1000
χ636666-3-3-3-3-6-663300000000-3300000000000000000000-2-20200200000-1-1110000000-11000
χ648-88-888-8-800000-4-444-4-4440022-2-200000000000000000000000000000000000000000000
χ658-8-888-88-800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-666-600063−630000000000000000000000000000000000000000000000000000000000
χ671212-12-12-666-6000−63630000000000000000000000000000000000000000000000000000000000
χ6812-1212-12-6-66600000000000000000000000000000000000000000000000−2i32i300000000000000
χ6912-1212-12-6-666000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7012-12-1212-66-66000000000000000000000000000000000000000000000000023−23000000000000
χ7112-12-1212-66-660000000000000000000000000000000000000000000000000−2323000000000000

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