Finite Group Databasebeta

← Group #13147814

Character table — Group #13147814

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446661212121241212121233666666121212123666121212121212121212121212121212121212121212124444444422224444121212121212121212121212121212126666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-1-1111-1-111-1-1-1-111-1-111-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-11111-1-1-111-1-11111-1-111-1-1-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-111-11-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-11-11-1111-1-1-1-11111-1-1-1-1111-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-111-11-1-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000000000-1-1-1-1
χ182222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000000001111
χ19222222222222222222222-12-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ212222222-2-22222222-2-2-2-2-22-12-1-1-122-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111111110000000022-2-200000000000000000000-1-111
χ222222222-2-22222222-2-2-2-2-22-12-1-1-122-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-11111111100000000-2-2220000000000000000000011-1-1
χ232222222-2-22222222-2-2-2-2-2-12-1222-1-11111-1-1-1-122-2-2-2-2-1-111-1-1-1-11111111100002222000000-2-200000000-1-1-1-111110000
χ242222222-2-22222222-2-2-2-2-2-12-1222-1-11111-1-1-1-122-2-2-2-2-1-111-1-1-1-1111111110000-2-2-2-200000022000000001111-1-1-1-10000
χ2522222-2-222222-2-2-2-2-222-2-22-12-1-1-1222222-1-1-1-111-1-111-2-2-2-21111-1-1-1-11111000000002-22-200000000000000000000-11-11
χ2622222-2-222222-2-2-2-2-222-2-22-12-1-1-1222222-1-1-1-111-1-111-2-2-2-21111-1-1-1-1111100000000-22-22000000000000000000001-11-1
χ2722222-2-222222-2-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-11111000022-2-20000002-200000000-1-111-1-1110000
χ2822222-2-222222-2-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-111110000-2-222000000-220000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-1-122-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-1000000002-2-2200000000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-1-122-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-100000000-222-2000000000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1222-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-1000022-2-2000000-2200000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1222-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-10000-2-2220000002-20000000011-1-1-1-1110000
χ3322-2-22002-2-22-2000002-2002222-2-2-2-222-2-222-2-2002-2000000000022-2-200002i−2i2i−2i0000000000002i−2i002i−2i00000000000000
χ3422-2-22002-2-22-2000002-2002222-2-2-2-222-2-222-2-2002-2000000000022-2-20000−2i2i−2i2i000000000000−2i2i00−2i2i00000000000000
χ3522-2-2200-22-22-200000-22002222-2-2-2-2-2-22222-2-200-220000000000-2-22200002i−2i−2i2i0000000000002i−2i00−2i2i00000000000000
χ3622-2-2200-22-22-200000-22002222-2-2-2-2-2-22222-2-200-220000000000-2-2220000−2i2i2i−2i000000000000−2i2i002i−2i00000000000000
χ372-22-222-2002-2-222-2-20000022-2-22-22-200002-22-22-200002-20022-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ382-22-222-2002-2-222-2-20000022-2-22-22-200002-22-22-200002-20022-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ392-22-222-2002-2-222-2-200000-121-22-2-113−33−3-11-112-20000-113−3-1-1113−33−333−3−300002i−2i2i−2i0000000000000000−ii−ii−i3i3−i3i30000
χ402-22-222-2002-2-222-2-200000-121-22-2-113−33−3-11-112-20000-113−3-1-1113−33−333−3−30000−2i2i−2i2i0000000000000000i−ii−ii3−i3i3−i30000
χ412-22-222-2002-2-222-2-200000-121-22-2-11−33−33-11-112-20000-11−33-1-111−33−33−3−33300002i−2i2i−2i0000000000000000−ii−iii3−i3i3−i30000
χ422-22-222-2002-2-222-2-200000-121-22-2-11−33−33-11-112-20000-11−33-1-111−33−33−3−3330000−2i2i−2i2i0000000000000000i−ii−i−i3i3−i3i30000
χ432-22-22-22002-2-2-2-2220000022-2-22-22-200002-22-2-220000-2200-2-2220000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ442-22-22-22002-2-2-2-2220000022-2-22-22-200002-22-2-220000-2200-2-222000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ452-22-22-22002-2-2-2-22200000-121-22-2-113−33−3-11-11-2200001-1−3311-1-13−33−3−3−33300002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i30000
χ462-22-22-22002-2-2-2-22200000-121-22-2-113−33−3-11-11-2200001-1−3311-1-13−33−3−3−3330000−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i30000
χ472-22-22-22002-2-2-2-22200000-121-22-2-11−33−33-11-11-2200001-13−311-1-1−33−3333−3−300002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i30000
χ482-22-22-22002-2-2-2-22200000-121-22-2-11−33−33-11-11-2200001-13−311-1-1−33−3333−3−30000−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i30000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-22222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111122-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-2222211112222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44004-4-44-4000004-4004-24-222-4-444-4-4-2-22200-220000000000-2-2220000000000000000000000000000000000000000
χ5444-4-44004-4-44-4000004-400-24-24-4-422-2-222-2-222004-40000000000-2-2220000000000000000000000000000000000000000
χ5544-4-44004-4-44-4000004-400-2-2-2-22222-2-22211-1-100-220000003i−3i3i−3i11-1-13i−3i3i−3i000000000000000000000000000000000000
χ5644-4-44004-4-44-4000004-400-2-2-2-22222-2-22211-1-100-22000000−3i3i−3i3i11-1-1−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-4400-44-44-400000-44004-24-222-4-4-4-444-2-222002-2000000000022-2-20000000000000000000000000000000000000000
χ5844-4-4400-44-44-400000-4400-24-24-4-42222-2-2-2-22200-44000000000022-2-20000000000000000000000000000000000000000
χ5944-4-4400-44-44-400000-4400-2-2-2-2222222-2-211-1-1002-20000003i−3i3i−3i-1-111−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-4400-44-44-400000-4400-2-2-2-2222222-2-211-1-1002-2000000−3i3i−3i3i-1-1113i−3i3i−3i000000000000000000000000000000000000
χ614-44-444-4004-4-444-4-4000004-2-42-224-40000-22-22-2200004-400-2-22200000000000000000000000000000000000000000000
χ624-44-444-4004-4-444-4-400000-2-222-22-2223−2323−231-11-1-220000-2223−2311-1-1−33−33−3−333000000000000000000000000000000000000
χ634-44-444-4004-4-444-4-400000-2-222-22-22−2323−23231-11-1-220000-22−232311-1-13−33−333−3−3000000000000000000000000000000000000
χ644-44-44-44004-4-4-4-444000004-2-42-224-40000-22-222-20000-440022-2-200000000000000000000000000000000000000000000
χ654-44-44-44004-4-4-4-44400000-2-222-22-2223−2323−231-11-12-200002-2−2323-1-111−33−3333−3−3000000000000000000000000000000000000
χ664-44-44-44004-4-4-4-44400000-2-222-22-22−2323−23231-11-12-200002-223−23-1-1113−33−3−3−333000000000000000000000000000000000000
χ674-4-4440000-4-4400000000044-4-4-44-4400004-4-440000000000000000000000000000000000000000000000000000000000
χ684-4-4440000-4-440000000004-2-422-2-440000-222-20000−2i32i3000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ694-4-4440000-4-440000000004-2-422-2-440000-222-200002i3−2i30000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ704-4-4440000-4-44000000000-242-4-442-223−23−2323-222-20000000000000023−23−23230000000000000000000000000000000000000000
χ714-4-4440000-4-44000000000-242-4-442-2−232323−23-222-200000000000000−232323−230000000000000000000000000000000000000000
χ724-4-4440000-4-44000000000-2-2222-22-223−23−23231-1-110000−2i32i300003i−3i−3i3i−333−3i3−i3−i3i3000000000000000000000000000000000000
χ734-4-4440000-4-44000000000-2-2222-22-223−23−23231-1-1100002i3−2i30000−3i3i3i−3i−333−3−i3i3i3−i3000000000000000000000000000000000000
χ744-4-4440000-4-44000000000-2-2222-22-2−232323−231-1-110000−2i32i30000−3i3i3i−3i3−3−33i3−i3−i3i3000000000000000000000000000000000000
χ754-4-4440000-4-44000000000-2-2222-22-2−232323−231-1-1100002i3−2i300003i−3i−3i3i3−3−33−i3i3i3−i3000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000000002200-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-200000000-2-20011111111000000000000
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-2000000002-200-1-1-1-11111000000000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-22200000000-22001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000222200000000-2-200-1-111-1-111000000000000
χ816666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-200000000220011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-200000000-2200-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-222000000002-20011-1-1-1-111000000000000
χ8466-6-6-3006-63-3333−3333−330-3333−33000000000000000000000000000000000000002i−2i2i−2i000000000000−ii−i3i3−ii−i3i3000000000000
χ8566-6-6-3006-63-3333−3333−330-3333−3300000000000000000000000000000000000000−2i2i−2i2i000000000000i−ii3−i3i−ii3−i3000000000000
χ8666-6-6-3006-63-33−3333−33330-33−3333000000000000000000000000000000000000002i−2i2i−2i000000000000−iii3−i3−iii3−i3000000000000
χ8766-6-6-3006-63-33−3333−33330-33−333300000000000000000000000000000000000000−2i2i−2i2i000000000000i−i−i3i3i−i−i3i3000000000000
χ8866-6-6-300-663-3333−3333−3303-3−3333000000000000000000000000000000000000002i−2i−2i2i000000000000−ii−i3i3i−ii3−i3000000000000
χ8966-6-6-300-663-3333−3333−3303-3−333300000000000000000000000000000000000000−2i2i2i−2i000000000000i−ii3−i3−ii−i3i3000000000000
χ9066-6-6-300-663-33−3333−333303-333−33000000000000000000000000000000000000002i−2i−2i2i000000000000−iii3−i3i−i−i3i3000000000000
χ9166-6-6-300-663-33−3333−333303-333−3300000000000000000000000000000000000000−2i2i2i−2i000000000000i−i−i3i3−iii3−i3000000000000
χ9212-1212-12-612-1200-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-6-121200-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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