Finite Group Databasebeta

← Group #13147752

Character table — Group #13147752

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666666661212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order122234466644121212121212336666661212121236661212121212121212121212121212121212121212121244442444444444661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ61111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-111-1-111
χ71111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-1-1-111
χ81111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ911111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-11-11-11111-1-1-1-11-11-11-11-1
χ1011111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-1-11-111111-1-1-1-1-11-11-11-11
χ1111111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-11-11-11-1-1-1-111111-11-1-11-11
χ1211111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1111-11-1-1-1-1-11111-11-111-11-1
χ1311111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1111-1-11-1-111-1-1111-1-111-1-11
χ1411111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-1-111-1-111-111-1-111-1
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-111-1-111-1-11-1-11-111-1
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-11-1-1111-1-111-1-1-111-11-1-11
χ172222222222222222222-122-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222000020000-1-1-1-1-1-1-1-100000000
χ182222222222222222222-122-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20000-200001111111100000000
χ19222222222222222222-12-1-1222-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ20222222222222222222-12-1-1222-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ212222222222-2-222-2-2-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1111111112222-20000-2000011-1-1-1-11100000000
χ222222222222-2-222-2-2-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-111111111-2-2-2-22000020000-1-11111-1-100000000
χ232222222222-2-222-2-2-2-2-12-1-1222-12222-1-1-1-11111-2-2-2-2-1-1-1-1-1-111111111000000000022-2-2000000000000-1-111
χ242222222222-2-222-2-2-2-2-12-1-1222-12222-1-1-1-11111-2-2-2-2-1-1-1-1-1-1111111110000000000-2-22200000000000011-1-1
χ2522222-2-22222-2-2-222-2-22-122-1-1-121111-1-1-1-122-2-2-1-111-2-21111-1-1-1-1111122-2-220000-20000-1-1-1-1111100000000
χ2622222-2-22222-2-2-222-2-22-122-1-1-121111-1-1-1-122-2-2-1-111-2-21111-1-1-1-11111-2-222-20000200001111-1-1-1-100000000
χ2722222-2-22222-2-2-222-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-11122-2-2111111-1-1-1-1111100000000002-22-2000000000000-11-11
χ2822222-2-22222-2-2-222-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-11122-2-2111111-1-1-1-111110000000000-22-220000000000001-11-1
χ2922222-2-2222-22-2-2-2-2222-122-1-1-121111-1-1-1-1-2-22211-1-1-2-211111111-1-1-1-122-2-2-200002000011-1-111-1-100000000
χ3022222-2-2222-22-2-2-2-2222-122-1-1-121111-1-1-1-1-2-22211-1-1-2-211111111-1-1-1-1-2-22220000-20000-1-111-1-11100000000
χ3122222-2-2222-22-2-2-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-1-1-2-2221111111111-1-1-1-100000000002-2-22000000000000-111-1
χ3222222-2-2222-22-2-2-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-1-1-2-2221111111111-1-1-1-10000000000-222-20000000000001-1-11
χ332-2-2222-22-2-2002-2000022-2-22-2-2222-2-222-2-2000000002-222-2-2000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ342-2-2222-22-2-2002-2000022-2-22-2-2222-2-222-2-2000000002-222-2-200000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ352-2-2222-22-2-2002-200002-1-2-2-1112-1-111-1-11100003−33−32-2-1-11133−3−333−3−32i−2i2i−2i0000000000−i3i3−ii−ii−i3i300000000
χ362-2-2222-22-2-2002-200002-1-2-2-1112-1-111-1-11100003−33−32-2-1-11133−3−333−3−3−2i2i−2i2i0000000000i3−i3i−ii−ii3−i300000000
χ372-2-2222-22-2-2002-200002-1-2-2-1112-1-111-1-1110000−33−332-2-1-111−3−333−3−3332i−2i2i−2i0000000000i3−i3−ii−iii3−i300000000
χ382-2-2222-22-2-2002-200002-1-2-2-1112-1-111-1-1110000−33−332-2-1-111−3−333−3−333−2i2i−2i2i0000000000−i3i3i−ii−i−i3i300000000
χ392-2-222-222-2-200-22000022-2-22-2-22-2-22222-2-200000000-22-2-222000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ402-2-222-222-2-200-22000022-2-22-2-22-2-22222-2-200000000-22-2-22200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ412-2-222-222-2-200-2200002-1-2-2-111211-1-1-1-11100003−3−33-2211-1-133−3−3−3−3332i−2i−2i2i0000000000−i3i3−iii−ii3−i300000000
χ422-2-222-222-2-200-2200002-1-2-2-111211-1-1-1-11100003−3−33-2211-1-133−3−3−3−333−2i2i2i−2i0000000000i3−i3i−i−ii−i3i300000000
χ432-2-222-222-2-200-2200002-1-2-2-111211-1-1-1-1110000−333−3-2211-1-1−3−33333−3−32i−2i−2i2i0000000000i3−i3−iii−i−i3i300000000
χ442-2-222-222-2-200-2200002-1-2-2-111211-1-1-1-1110000−333−3-2211-1-1−3−33333−3−3−2i2i2i−2i0000000000−i3i3i−i−iii3−i300000000
χ45444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ464444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2111122222222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ4744444-4-44444-4-4-444-4-4-2-2-2-2-2-2-2-222221111-2-222-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4944-4-4400-44-400000000444-4-44-4-400004-44-40000000000000000000000000000000000000000000000000000
χ5044-4-4400-44-4000000004-24-42-22-423−2323−23-22-22000000000023−2323−2300000000000000000000000000000000000000
χ5144-4-4400-44-4000000004-24-42-22-4−2323−2323-22-220000000000−2323−232300000000000000000000000000000000000000
χ5244-4-4400-44-400000000-24-22-44-420000-22-22−2i32i3000000000000−2i32i3−2i32i30000000000000000000000000000000000
χ5344-4-4400-44-400000000-24-22-44-420000-22-222i3−2i30000000000002i3−2i32i3−2i30000000000000000000000000000000000
χ5444-4-4400-44-400000000-2-2-222-22223−2323−231-11-1−2i32i300000000−33−33i3−i3i3−i33i−3i3i−3i000000000000000000000000000000
χ5544-4-4400-44-400000000-2-2-222-22223−2323−231-11-12i3−2i300000000−33−33−i3i3−i3i3−3i3i−3i3i000000000000000000000000000000
χ5644-4-4400-44-400000000-2-2-222-222−2323−23231-11-1−2i32i3000000003−33−3i3−i3i3−i3−3i3i−3i3i000000000000000000000000000000
χ5744-4-4400-44-400000000-2-2-222-222−2323−23231-11-12i3−2i3000000003−33−3−i3i3−i3i33i−3i3i−3i000000000000000000000000000000
χ584-44-4400-4-440000000044-44-4-44-400004-4-440000000000000000000000000000000000000000000000000000
χ594-44-4400-4-44000000004-2-4422-2-423−23−2323-222-2000000000023−23−232300000000000000000000000000000000000000
χ604-44-4400-4-44000000004-2-4422-2-4−232323−23-222-20000000000−232323−2300000000000000000000000000000000000000
χ614-44-4400-4-4400000000-242-2-4-4420000-222-200−2i32i300000000000000−2i32i32i3−2i3000000000000000000000000000000
χ624-44-4400-4-4400000000-242-2-4-4420000-222-2002i3−2i3000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-44-4400-4-4400000000-2-22-222-2223−23−23231-1-1100−2i32i3000000−333−3−3i3i3i−3ii3−i3−i3i3000000000000000000000000000000
χ644-44-4400-4-4400000000-2-22-222-2223−23−23231-1-11002i3−2i3000000−333−33i−3i−3i3i−i3i3i3−i3000000000000000000000000000000
χ654-44-4400-4-4400000000-2-22-222-22−232323−231-1-1100−2i32i30000003−3−333i−3i−3i3ii3−i3−i3i3000000000000000000000000000000
χ664-44-4400-4-4400000000-2-22-222-22−232323−231-1-11002i3−2i30000003−3−33−3i3i3i−3i−i3i3i3−i3000000000000000000000000000000
χ674-4-4444-44-4-4004-40000-24224-4-4-244-4-4-2-22200000000-22-2-22200000000000000000000000000000000000000
χ684-4-4444-44-4-4004-40000-2-222-222-2-2-22211-1-1000023−2323−23-2211-1-1−3−333−3−333000000000000000000000000000000
χ694-4-4444-44-4-4004-40000-2-222-222-2-2-22211-1-10000−2323−2323-2211-1-133−3−333−3−3000000000000000000000000000000
χ704-4-444-444-4-400-440000-24224-4-4-2-4-444-2-222000000002-222-2-200000000000000000000000000000000000000
χ714-4-444-444-4-400-440000-2-222-222-222-2-211-1-1000023−23−23232-2-1-111−3−33333−3−3000000000000000000000000000000
χ724-4-444-444-4-400-440000-2-222-222-222-2-211-1-10000−232323−232-2-1-11133−3−3−3−333000000000000000000000000000000
χ736666-366-3-3-366-3-3-3-3-3-3000000000000000000000000000000000000000000022220000000000000-1-1-1-10000
χ746666-366-3-3-366-3-3-3-3-3-30000000000000000000000000000000000000000000-2-2-2-2000000000000011110000
χ756666-366-3-3-3-6-6-3-33333000000000000000000000000000000000000000000022-2-20000000000000-1-1110000
χ766666-366-3-3-3-6-6-3-333330000000000000000000000000000000000000000000-2-222000000000000011-1-10000
χ776666-3-6-6-3-3-36-633-3-33300000000000000000000000000000000000000000002-22-20000000000000-11-110000
χ786666-3-6-6-3-3-36-633-3-3330000000000000000000000000000000000000000000-22-2200000000000001-11-10000
χ796666-3-6-6-3-3-3-663333-3-300000000000000000000000000000000000000000002-2-220000000000000-111-10000
χ806666-3-6-6-3-3-3-663333-3-30000000000000000000000000000000000000000000-222-200000000000001-1-110000
χ811212-12-12-6006-6600000063−6300000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6006-66000000−636300000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-60066-6000063−630000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-60066-60000−63630000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-612-12-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6-1212-666006-6000000000000000000000000000000000000000000000000000000000000000000000000

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