Finite Group Databasebeta

← Group #13147902

Character table — Group #13147902

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666666661212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order122234466644121212121212336666661212121236661212121212121212121212121212121212121212121222442222224444661212121212126666661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ81111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1
χ911111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-111-1-111-1-11-11-11-11-1
χ1011111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-111-1-1111-1-111-1-1-11-11-11-11
χ1111111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-11-11-11-1-111-1-111-111-11-1-11
χ1211111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-111-1-111-1-1-111-1-1111-1-11-111-1
χ1311111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11-1111-1-1-1-1111-11-1-11-11
χ1411111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-111-111-1-1-1-111-11-111-11-1
χ1511111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11-111-11-1-1-11111-1-1-111-1-111-1
χ1611111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-111-11-11-1-11-1-11111-1-11-1-111-1-11
χ172222222222222222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000000-1-1-1-100
χ182222222222222222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000111100
χ19222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000002200-1-1-1-1-1-1-1-100000000
χ20222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2001111111100000000
χ212222222222-2-2-2-2-2-2222-1-1-1-12222222-1-1-1-1-1-11111-2-2-2-2-1-1-1-111111111000022-2-20000000000000000-1-11100
χ222222222222-2-2-2-2-2-2222-1-1-1-12222222-1-1-1-1-1-11111-2-2-2-2-1-1-1-1111111110000-2-222000000000000000011-1-100
χ232222222222-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111111112222000000-2-200-1-1-1-1111100000000
χ242222222222-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111111111-2-2-2-200000022001111-1-1-1-100000000
χ2522222-2-22222-222-2-2-2-22-1-1-1-1222-2-2-2-2-1-1-1-111-1-11122-2-21111-1-1-1-1111100002-22-20000000000000000-11-1100
χ2622222-2-22222-222-2-2-2-22-1-1-1-1222-2-2-2-2-1-1-1-111-1-11122-2-21111-1-1-1-111110000-22-2200000000000000001-11-100
χ2722222-2-22222-222-2-2-2-2-12222-1-1-11111-1-1-1-1-2-222-2-2-1-1111111-1-1-1-1111122-2-20000002-200-1-111-1-11100000000
χ2822222-2-22222-222-2-2-2-2-12222-1-1-11111-1-1-1-1-2-222-2-2-1-1111111-1-1-1-11111-2-222000000-220011-1-111-1-100000000
χ2922222-2-2222-22-2-222-2-22-1-1-1-1222-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-100002-2-220000000000000000-111-100
χ3022222-2-2222-22-2-222-2-22-1-1-1-1222-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-10000-222-200000000000000001-1-1100
χ3122222-2-2222-22-2-222-2-2-12222-1-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-122-2-2000000-2200-1-11111-1-100000000
χ3222222-2-2222-22-2-222-2-2-12222-1-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-1-2-2220000002-20011-1-1-1-11100000000
χ332-2-2222-2-2-220000002-2222-2-22-2-222-2-222-2-22-20000000022-2-2000000002-22-200000000002-22-2000000000000
χ342-2-2222-2-2-220000002-2222-2-22-2-222-2-222-2-22-20000000022-2-200000000-22-220000000000-22-22000000000000
χ352-2-2222-2-2-220000002-2-122-2-2-111-1-111-1-1112-200003−33−3-1-11133−3−333−3−32-22-20000000000-11-113−33−300000000
χ362-2-2222-2-2-220000002-2-122-2-2-111-1-111-1-1112-200003−33−3-1-11133−3−333−3−3-22-2200000000001-11-1−33−3300000000
χ372-2-2222-2-2-220000002-2-122-2-2-111-1-111-1-1112-20000−33−33-1-111−3−333−3−3332-22-20000000000-11-11−33−3300000000
χ382-2-2222-2-2-220000002-2-122-2-2-111-1-111-1-1112-20000−33−33-1-111−3−333−3−333-22-2200000000001-11-13−33−300000000
χ392-2-222-22-2-22000000-22222-2-22-2-2-2-22222-2-2-2200000000-2-222000000002-2-2200000000002-2-22000000000000
χ402-2-222-22-2-22000000-22222-2-22-2-2-2-22222-2-2-2200000000-2-22200000000-222-20000000000-222-2000000000000
χ412-2-222-22-2-22000000-22-122-2-2-11111-1-1-1-111-2200003−3−3311-1-133−3−3−3−3332-2-220000000000-111-13−3−3300000000
χ422-2-222-22-2-22000000-22-122-2-2-11111-1-1-1-111-2200003−3−3311-1-133−3−3−3−333-222-200000000001-1-11−333−300000000
χ432-2-222-22-2-22000000-22-122-2-2-11111-1-1-1-111-220000−333−311-1-1−3−33333−3−32-2-220000000000-111-1−333−300000000
χ442-2-222-22-2-22000000-22-122-2-2-11111-1-1-1-111-220000−333−311-1-1−3−33333−3−3-222-200000000001-1-113−3−3300000000
χ45444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ464444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ4744444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4844444-4-4444-44-4-444-4-4-2-2-2-2-2-2-2-2222211112222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4944-4-44004-4-40000000044-44-4-44-400004-44-40000000000000000000000000000000000000000000000000000
χ5044-4-44004-4-4000000004-22-22-44-40000-22-2200−2i32i30000000000−2i32i3−2i32i30000000000000000000000000000000000
χ5144-4-44004-4-4000000004-22-22-44-40000-22-22002i3−2i300000000002i3−2i32i3−2i30000000000000000000000000000000000
χ5244-4-44004-4-400000000-24-44-42-2223−2323−23-22-22000000000023−2323−2300000000000000000000000000000000000000
χ5344-4-44004-4-400000000-24-44-42-22−2323−2323-22-220000000000−2323−232300000000000000000000000000000000000000
χ5444-4-44004-4-400000000-2-22-222-2223−2323−231-11-100−2i32i3000000−33−33i3−i3i3−i33i−3i3i−3i000000000000000000000000000000
χ5544-4-44004-4-400000000-2-22-222-2223−2323−231-11-1002i3−2i3000000−33−33−i3i3−i3i3−3i3i−3i3i000000000000000000000000000000
χ5644-4-44004-4-400000000-2-22-222-22−2323−23231-11-100−2i32i30000003−33−3i3−i3i3−i3−3i3i−3i3i000000000000000000000000000000
χ5744-4-44004-4-400000000-2-22-222-22−2323−23231-11-1002i3−2i30000003−33−3−i3i3−i3i33i−3i3i−3i000000000000000000000000000000
χ584-44-4400-44-40000000044-4-44-4-4400004-4-440000000000000000000000000000000000000000000000000000
χ594-44-4400-44-4000000004-222-2-4-440000-222-20000−2i32i3000000000000−2i32i32i3−2i3000000000000000000000000000000
χ604-44-4400-44-4000000004-222-2-4-440000-222-200002i3−2i30000000000002i3−2i3−2i32i3000000000000000000000000000000
χ614-44-4400-44-400000000-24-4-4422-223−23−2323-222-2000000000023−23−232300000000000000000000000000000000000000
χ624-44-4400-44-400000000-24-4-4422-2−232323−23-222-20000000000−232323−2300000000000000000000000000000000000000
χ634-44-4400-44-400000000-2-222-222-223−23−23231-1-110000−2i32i30000−333−3−3i3i3i−3ii3−i3−i3i3000000000000000000000000000000
χ644-44-4400-44-400000000-2-222-222-223−23−23231-1-1100002i3−2i30000−333−33i−3i−3i3i−i3i3i3−i3000000000000000000000000000000
χ654-44-4400-44-400000000-2-222-222-2−232323−231-1-110000−2i32i300003−3−333i−3i−3i3ii3−i3−i3i3000000000000000000000000000000
χ664-44-4400-44-400000000-2-222-222-2−232323−231-1-1100002i3−2i300003−3−33−3i3i3i−3i−i3i3i3−i3000000000000000000000000000000
χ674-4-4444-4-4-440000004-44-2-2224-4-444-4-4-2-222-2200000000-2-22200000000000000000000000000000000000000
χ684-4-4444-4-4-440000004-4-2-2-222-222-2-22211-1-1-22000023−2323−2311-1-1−3−333−3−333000000000000000000000000000000
χ694-4-4444-4-4-440000004-4-2-2-222-222-2-22211-1-1-220000−2323−232311-1-133−3−333−3−3000000000000000000000000000000
χ704-4-444-44-4-44000000-444-2-2224-4-4-4-444-2-2222-20000000022-2-200000000000000000000000000000000000000
χ714-4-444-44-4-44000000-44-2-2-222-22222-2-211-1-12-2000023−23−2323-1-111−3−33333−3−3000000000000000000000000000000
χ724-4-444-44-4-44000000-44-2-2-222-22222-2-211-1-12-20000−232323−23-1-11133−3−3−3−333000000000000000000000000000000
χ736666-366-3-3-366-3-3-3-3-3-3000000000000000000000000000000000000000000000022002200000000-1-10000-1-1
χ746666-366-3-3-366-3-3-3-3-3-30000000000000000000000000000000000000000000000-2-200-2-20000000011000011
χ756666-366-3-3-3-6-63333-3-300000000000000000000000000000000000000000000002200-2-200000000-1-1000011
χ766666-366-3-3-3-6-63333-3-30000000000000000000000000000000000000000000000-2-2002200000000110000-1-1
χ776666-3-6-6-3-3-36-6-3-3333300000000000000000000000000000000000000000000002-2002-200000000-110000-11
χ786666-3-6-6-3-3-36-6-3-333330000000000000000000000000000000000000000000000-2200-22000000001-100001-1
χ796666-3-6-6-3-3-3-6633-3-33300000000000000000000000000000000000000000000002-200-2200000000-1100001-1
χ806666-3-6-6-3-3-3-6633-3-3330000000000000000000000000000000000000000000000-22002-2000000001-10000-11
χ811212-12-12-600-666000063−630000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-600-6660000−63630000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-660063−63000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6006-6600−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-612-1266-6000000-6600000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6-121266-60000006-600000000000000000000000000000000000000000000000000000000000000000000

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