Finite Group Databasebeta

← Group #13147817

Character table — Group #13147817

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order122236664441212121212123366666636661212121212121212121212121212121212121212121212122244444444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-111-1-11-1-1-1-1-11-1111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-1-111-11-1-1-1-1-11-1-1-1111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-11-1-111-1-1
χ6111111111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1111-11-1-1-111-1-111
χ7111111111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-1111-1-1-1-111
χ8111111111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-11111-1-1
χ911111111-11-1-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-111-11-1-11-11-11-1
χ1011111111-11-1-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111-11-111-1-11-11-11-11-11
χ1111111111-11-1-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-11-111-11-11-1-11-11
χ1211111111-11-1-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-111-11-1-1-11-111-111-11-1
χ1311111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-11-1-1111-1-11-1-111-1-11
χ1411111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-111-11-1-1-1111-1-111-1
χ1511111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1111-1-1-11-111-1
χ1611111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11-1111-1-11-1-111-111-11-1-11
χ17222222222222222222-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10200220200000-1000-1-1-10000
χ18222222222222222222-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-200-2-20-20000010001110000
χ1922222222222222222-12-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ2022222222222222222-12-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ21222222222-2-222-2-2-2-22-122-1-1-12-1-1-1-122-2-2-1-11111-2-2-1-1-1-1111111110200-2-20200000-1000-1110000
χ22222222222-2-222-2-2-2-22-122-1-1-12-1-1-1-122-2-2-1-11111-2-2-1-1-1-1111111110-200220-20000010001-1-10000
χ23222222222-2-222-2-2-2-2-12-1-1222-1-1-1-1-1-1-11122-2-2-2-211-1-1-1-1111111110000000022-2-200000000-1-111
χ24222222222-2-222-2-2-2-2-12-1-1222-1-1-1-1-1-1-11122-2-2-2-211-1-1-1-11111111100000000-2-2220000000011-1-1
χ2522222222-22-2-2-222-2-22-122-1-1-12-1-1-1-1-2-22211-1-111-2-21111-1-1-1-1111102002-20-200000-10001-110000
χ2622222222-22-2-2-222-2-22-122-1-1-12-1-1-1-1-2-22211-1-111-2-21111-1-1-1-111110-200-2202000001000-11-10000
χ2722222222-22-2-2-222-2-2-12-1-1222-1-1-1-1-111-1-1-2-222-2-2111111-1-1-1-11111000000002-22-200000000-11-11
χ2822222222-22-2-2-222-2-2-12-1-1222-1-1-1-1-111-1-1-2-222-2-2111111-1-1-1-1111100000000-22-22000000001-11-1
χ2922222222-2-22-2-2-2-2222-122-1-1-12-1-1-1-1-2-2-2-21111-1-12211111111-1-1-1-10200-220-200000-100011-10000
χ3022222222-2-22-2-2-2-2222-122-1-1-12-1-1-1-1-2-2-2-21111-1-12211111111-1-1-1-10-2002-202000001000-1-110000
χ3122222222-2-22-2-2-2-222-12-1-1222-1-1-1-1-11111-2-2-2-222-1-111111111-1-1-1-1000000002-2-2200000000-111-1
χ3222222222-2-22-2-2-2-222-12-1-1222-1-1-1-1-11111-2-2-2-222-1-111111111-1-1-1-100000000-222-2000000001-1-11
χ3344444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ34444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21111-2-222-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-2111122-2-222-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-2111122222222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ3744-4-444-4-4000000000444-44-4-4-444-4-4000000000000000000000000000000000000000000000000
χ3844-4-444-4-40000000004-24-4-222-4-2-2220000000023−2300000000002323−23−23000000000000000000000000
χ3944-4-444-4-40000000004-24-4-222-4-2-22200000000−23230000000000−23−232323000000000000000000000000
χ4044-4-444-4-4000000000-24-224-4-42-2-222−2i32i30000000000−2i3−2i32i32i300000000000000000000000000000000
χ4144-4-444-4-4000000000-24-224-4-42-2-2222i3−2i300000000002i32i3−2i3−2i300000000000000000000000000000000
χ4244-4-444-4-4000000000-2-2-22-222211-1-1−2i32i300000023−2300i3i3−i3−i33i3i−3i−3i−3−333000000000000000000000000
χ4344-4-444-4-4000000000-2-2-22-222211-1-1−2i32i3000000−232300i3i3−i3−i3−3i−3i3i3i33−3−3000000000000000000000000
χ4444-4-444-4-4000000000-2-2-22-222211-1-12i3−2i300000023−2300−i3−i3i3i3−3i−3i3i3i−3−333000000000000000000000000
χ4544-4-444-4-4000000000-2-2-22-222211-1-12i3−2i3000000−232300−i3−i3i3i33i3i−3i−3i33−3−3000000000000000000000000
χ464-44-44-44-400000000044-44-44-4-44-44-4000000000000000000000000000000000000000000000000
χ474-44-44-44-40000000004-2-442-22-4-22-22000023−2300000023−2323−2300000000000000000000000000000000
χ484-44-44-44-40000000004-2-442-22-4-22-220000−2323000000−2323−232300000000000000000000000000000000
χ494-44-44-44-4000000000-242-2-44-42-22-2200−2i32i3000000000000−2i32i3−2i32i30000000000000000000000000000
χ504-44-44-44-4000000000-242-2-44-42-22-22002i3−2i30000000000002i3−2i32i3−2i30000000000000000000000000000
χ514-44-44-44-4000000000-2-22-22-2221-11-100−2i32i323−23000000−33−33i3−i3i3−i33i−3i3i−3i000000000000000000000000
χ524-44-44-44-4000000000-2-22-22-2221-11-100−2i32i3−23230000003−33−3i3−i3i3−i3−3i3i−3i3i000000000000000000000000
χ534-44-44-44-4000000000-2-22-22-2221-11-1002i3−2i323−23000000−33−33−i3i3−i3i3−3i3i−3i3i000000000000000000000000
χ544-44-44-44-4000000000-2-22-22-2221-11-1002i3−2i3−23230000003−33−3−i3i3−i3i33i−3i3i−3i000000000000000000000000
χ554-4-444-4-4400000000044-4-4-4-4444-4-44000000000000000000000000000000000000000000000000
χ564-4-444-4-440000000004-2-4-422-24-222-200000023−230000000023−23−23230000000000000000000000000000
χ574-4-444-4-440000000004-2-4-422-24-222-2000000−232300000000−232323−230000000000000000000000000000
χ584-4-444-4-44000000000-2422-4-44-2-222-20000000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000
χ594-4-444-4-44000000000-2422-4-44-2-222-200000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000
χ604-4-444-4-44000000000-2-22222-2-21-1-1100000023−2300−2i32i33i−3i−3i3i−333−3i3−i3−i3i3000000000000000000000000
χ614-4-444-4-44000000000-2-22222-2-21-1-1100000023−23002i3−2i3−3i3i3i−3i−333−3−i3i3i3−i3000000000000000000000000
χ624-4-444-4-44000000000-2-22222-2-21-1-11000000−232300−2i32i3−3i3i3i−3i3−3−33i3−i3−i3i3000000000000000000000000
χ634-4-444-4-44000000000-2-22222-2-21-1-11000000−2323002i3−2i33i−3i−3i3i3−3−33−i3i3i3−i3000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000202200200000-10-1-1-10000000
χ656666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000-20-2-200-200000101110000000
χ666666-3-3-3-36-6-6-3-33333000000000000000000000000000000000000202-200-200000-10-1110000000
χ676666-3-3-3-36-6-6-3-33333000000000000000000000000000000000000-20-2200200000101-1-10000000
χ686666-3-3-3-3-66-633-3-33300000000000000000000000000000000000020-2-200200000-101-110000000
χ696666-3-3-3-3-66-633-3-333000000000000000000000000000000000000-202200-20000010-11-10000000
χ706666-3-3-3-3-6-663333-3-300000000000000000000000000000000000020-2200-200000-1011-10000000
χ716666-3-3-3-3-6-663333-3-3000000000000000000000000000000000000-202-20020000010-1-110000000
χ721212-12-12-6-6660000063−6300000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-66600000−636300000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-66000000063−63000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-660000000−6363000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-600063−630000000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-666-6000−63630000000000000000000000000000000000000000000000000000000000000000

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