Finite Group Databasebeta

← Group #13147923

Character table — Group #13147923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order12223666444121212121212336666663666121212121212121212121212121212121212121212121212222222444444666666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ5111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111-11-1-1-11-11-1111-11-1-1-11-1
χ6111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-111-111-1-1-1-111-111-11
χ7111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-11-11-1-1-11-1111-11-11-1-1-11
χ8111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11-1-11-1-11111-1
χ911111111-11-1-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-111-1-1-11-11-111-111-1-1-1
χ1011111111-11-1-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-1-11-11111-1-11-1-1-11-1111
χ1111111111-11-1-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11-11-111-111-1-1-11-11-111
χ1211111111-11-1-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-11111-1-11-1-1-11-11111-1-11-1-1
χ1311111111-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-11-11111-11-1-1-1-11-11
χ1411111111-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11-11-111-11-11-1-11-11-1
χ1511111111-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-111-1-1-11-1-1111-111-1
χ1611111111-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1111-1-11-1-1-111-1111-1-11
χ17222222222222222222-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100220000220000-1-10000-1-100
χ18222222222222222222-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-200001100001100
χ1922222222222222222-12-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000220000-1-10000-1-1
χ2022222222222222222-12-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-2000011000011
χ21222222222-2-222-2-2-2-22-122-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-1-1-11111111100220000-2-20000-1-100001100
χ22222222222-2-222-2-2-2-22-122-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-1-1-11111111100-2-20000220000110000-1-100
χ23222222222-2-222-2-2-2-2-12-1-122-12-1-1-1-1-1-1-2-211-2-22211-1-1-1-11111111100002-200002-20000-110000-11
χ24222222222-2-222-2-2-2-2-12-1-122-12-1-1-1-1-1-1-2-211-2-22211-1-1-1-1111111110000-220000-2200001-100001-1
χ2522222222-22-2-2-222-2-22-122-1-12-1-1-1-1-1-2-2-1-1-2-21111221111-1-1-1-11111002-200002-20000-110000-1100
χ2622222222-22-2-2-222-2-22-122-1-12-1-1-1-1-1-2-2-1-1-2-21111221111-1-1-1-1111100-220000-2200001-100001-100
χ2722222222-22-2-2-222-2-2-12-1-122-12-1-1-1-1112211-2-2-2-2-1-11111-1-1-1-111110000220000-2-20000-1-1000011
χ2822222222-22-2-2-222-2-2-12-1-122-12-1-1-1-1112211-2-2-2-2-1-11111-1-1-1-111110000-2-20000220000110000-1-1
χ2922222222-2-22-2-2-2-2222-122-1-12-1-1-1-1-1-2-21122-1-111-2-211111111-1-1-1-1002-20000-220000-1100001-100
χ3022222222-2-22-2-2-2-2222-122-1-12-1-1-1-1-1-2-21122-1-111-2-211111111-1-1-1-100-2200002-200001-10000-1100
χ3122222222-2-22-2-2-2-222-12-1-122-12-1-1-1-111-2-2-1-122-2-21111111111-1-1-1-100002-20000-220000-1100001-1
χ3222222222-2-22-2-2-2-222-12-1-122-12-1-1-1-111-2-2-1-122-2-21111111111-1-1-1-10000-2200002-200001-10000-11
χ3344444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ34444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21111-2-2222222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-2111122-2-2222222-2-2-1-1-1-11111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-1-1-1-1-11111000000000000000000000000
χ3744-4-444-4-4000000000444-4-4-4-4444-4-4000000000000000000000000000000000000000000000000
χ3844-4-444-4-40000000004-24-422-4-2-2-22200000000−2i32i300−2i3−2i32i32i300000000000000000000000000000000
χ3944-4-444-4-40000000004-24-422-4-2-2-222000000002i3−2i3002i32i3−2i3−2i300000000000000000000000000000000
χ4044-4-444-4-4000000000-24-22-4-424-2-222000023−23000000000000002323−23−23000000000000000000000000
χ4144-4-444-4-4000000000-24-22-4-424-2-2220000−232300000000000000−23−232323000000000000000000000000
χ4244-4-444-4-4000000000-2-2-22222-211-1-1000023−2300−2i32i300i3i3−i3−i33i3i−3i−3i−3−333000000000000000000000000
χ4344-4-444-4-4000000000-2-2-22222-211-1-1000023−23002i3−2i300−i3−i3i3i3−3i−3i3i3i−3−333000000000000000000000000
χ4444-4-444-4-4000000000-2-2-22222-211-1-10000−232300−2i32i300i3i3−i3−i3−3i−3i3i3i33−3−3000000000000000000000000
χ4544-4-444-4-4000000000-2-2-22222-211-1-10000−2323002i3−2i300−i3−i3i3i33i3i−3i−3i33−3−3000000000000000000000000
χ464-44-44-44-400000000044-4-44-44-44-44-4000000000000000000000000000000000000000000000000
χ474-44-44-44-40000000004-2-4-4-2242-22-2200000023−2300000000000023−2323−23000000000000000000000000
χ484-44-44-44-40000000004-2-4-4-2242-22-22000000−2323000000000000−2323−2323000000000000000000000000
χ494-44-44-44-4000000000-24224-4-2-4-22-220000000000−2i32i30000−2i32i3−2i32i30000000000000000000000000000
χ504-44-44-44-4000000000-24224-4-2-4-22-2200000000002i3−2i300002i3−2i32i3−2i30000000000000000000000000000
χ514-44-44-44-4000000000-2-222-22-221-11-100000023−2300−2i32i33i−3i3i−3ii3−i3i3−i3−33−33000000000000000000000000
χ524-44-44-44-4000000000-2-222-22-221-11-100000023−23002i3−2i3−3i3i−3i3i−i3i3−i3i3−33−33000000000000000000000000
χ534-44-44-44-4000000000-2-222-22-221-11-1000000−232300−2i32i3−3i3i−3i3ii3−i3i3−i33−33−3000000000000000000000000
χ544-44-44-44-4000000000-2-222-22-221-11-1000000−2323002i3−2i33i−3i3i−3i−i3i3−i3i33−33−3000000000000000000000000
χ554-4-444-4-4400000000044-44-44-4-44-4-44000000000000000000000000000000000000000000000000
χ564-4-444-4-440000000004-2-442-2-42-222-20023−2300000000000023−23−23230000000000000000000000000000
χ574-4-444-4-440000000004-2-442-2-42-222-200−2323000000000000−232323−230000000000000000000000000000
χ584-4-444-4-44000000000-242-2-442-4-222-223−23000000000023−23−232300000000000000000000000000000000
χ594-4-444-4-44000000000-242-2-442-4-222-2−23230000000000−232323−2300000000000000000000000000000000
χ604-4-444-4-44000000000-2-22-22-2221-1-1123−2323−2300000000−333−3−333−33-3-33000000000000000000000000
χ614-4-444-4-44000000000-2-22-22-2221-1-1123−23−232300000000−333−33−3−33-333-3000000000000000000000000
χ624-4-444-4-44000000000-2-22-22-2221-1-11−232323−23000000003−3−33−333−3-333-3000000000000000000000000
χ634-4-444-4-44000000000-2-22-22-2221-1-11−2323−2323000000003−3−333−3−333-3-33000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000220000220000-1-10000-1-10000
χ656666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000-2-20000-2-20000110000110000
χ666666-3-3-3-36-6-6-3-333330000000000000000000000000000000000002-200002-20000-110000-110000
χ676666-3-3-3-36-6-6-3-33333000000000000000000000000000000000000-220000-2200001-100001-10000
χ686666-3-3-3-3-66-633-3-3330000000000000000000000000000000000002-20000-220000-1100001-10000
χ696666-3-3-3-3-66-633-3-333000000000000000000000000000000000000-2200002-200001-10000-110000
χ706666-3-3-3-3-6-663333-3-3000000000000000000000000000000000000220000-2-20000-1-10000110000
χ716666-3-3-3-3-6-663333-3-3000000000000000000000000000000000000-2-20000220000110000-1-10000
χ721212-12-12-6-6660000063−6300000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-66600000−636300000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-60000000−6i36i3000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-666-600000006i3−6i3000000000000000000000000000000000000000000000000000000000000

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