Finite Group Databasebeta

← Group #13147751

Character table — Group #13147751

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121244444444444444441212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111-11-11
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-11-11-1-111-1-11111-1-111-1-1-11-11
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-11-1-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-1-1111-1-1-1-11111-1-1-1-1111-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-111-1-1-11111-1-111-1-1-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-11-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220022000000000000-1-1-1-1-1-1-1-10000
χ182222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000000000111111110000
χ19222222222222222222222-12-1-1222-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000000000000000-1-1-1-1
χ20222222222222222222222-12-1-1222-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000000001111
χ212222222-2-2222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-111111111000022-2-2002-2000000000000-1-1-1-111110000
χ222222222-2-2222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-1111111110000-2-22200-220000000000001111-1-1-1-10000
χ232222222-2-2222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-1-1-111-2-2-2-211-1-1-1-11111111100000000000022-2-20000000000000000-1-111
χ242222222-2-2222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-1-1-111-2-2-2-211-1-1-1-111111111000000000000-2-222000000000000000011-1-1
χ2522222-2-2222222222-2-2-2-2-22-122-1-1-121111-1-1-1-1-2-2-2-2-1-111221111-1-1-1-111110000222200-2-2000000000000-1-111-1-1110000
χ2622222-2-2222222222-2-2-2-2-22-122-1-1-121111-1-1-1-1-2-2-2-2-1-111221111-1-1-1-111110000-2-2-2-2002200000000000011-1-111-1-10000
χ2722222-2-2222222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1111122-2-2-1-11111-1-1-1-111110000000000002-22-20000000000000000-11-11
χ2822222-2-2222222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1111122-2-2-1-11111-1-1-1-11111000000000000-22-2200000000000000001-11-1
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-22211-1-1-2-211111111-1-1-1-1000022-2-200-22000000000000-1-11111-1-10000
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-22211-1-1-2-211111111-1-1-1-10000-2-222002-200000000000011-1-1-1-1110000
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-1-1-2-2221111111111-1-1-1-10000000000002-2-220000000000000000-111-1
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-1-1-2-2221111111111-1-1-1-1000000000000-222-200000000000000001-1-11
χ3322-2-222-200-22-2000002-200222-22-2-2-222-2-222-2-22-20000000022-2-2000000002-22-20000000000002-22-20000000000000000
χ3422-2-222-200-22-2000002-200222-22-2-2-222-2-222-2-22-20000000022-2-200000000-22-22000000000000-22-220000000000000000
χ3522-2-22-2200-22-200000-2200222-22-2-2-2-2-22222-2-2-2200000000-2-222000000002-2-220000000000002-2-220000000000000000
χ3622-2-22-2200-22-200000-2200222-22-2-2-2-2-22222-2-2-2200000000-2-22200000000-222-2000000000000-222-20000000000000000
χ372-2-222002-22-2-222-2-20000022-2-2-22-2200002-22-200002-2002-2000022-2-2000000002i−2i2i−2i00000000000000002i−2i002i−2i000000
χ382-2-222002-22-2-222-2-20000022-2-2-22-2200002-22-200002-2002-2000022-2-200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i000000
χ392-2-222002-22-2-222-2-2000002-1-2-21-1123−33−3-11-110000-113−32-23−33−3-1-11133−3−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i30000
χ402-2-222002-22-2-222-2-2000002-1-2-21-1123−33−3-11-110000-113−32-23−33−3-1-11133−3−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i30000
χ412-2-222002-22-2-222-2-2000002-1-2-21-112−33−33-11-110000-11−332-2−33−33-1-111−3−33300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i30000
χ422-2-222002-22-2-222-2-2000002-1-2-21-112−33−33-11-110000-11−332-2−33−33-1-111−3−3330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i30000
χ432-2-22200-222-2-2-2-2220000022-2-2-22-2200002-22-20000-2200-220000-2-222000000002i−2i−2i2i00000000000000002i−2i00−2i2i000000
χ442-2-22200-222-2-2-2-2220000022-2-2-22-2200002-22-20000-2200-220000-2-22200000000−2i2i2i−2i0000000000000000−2i2i002i−2i000000
χ452-2-22200-222-2-2-2-222000002-1-2-21-1123−33−3-11-1100001-1−33-223−33−311-1-1−3−33300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i30000
χ462-2-22200-222-2-2-2-222000002-1-2-21-1123−33−3-11-1100001-1−33-223−33−311-1-1−3−3330000−2i2i2i−2i0000000000000000i−ii3−i3−ii−i3i30000
χ472-2-22200-222-2-2-2-222000002-1-2-21-112−33−33-11-1100001-13−3-22−33−3311-1-133−3−300002i−2i−2i2i0000000000000000−iii3−i3i−i−i3i30000
χ482-2-22200-222-2-2-2-222000002-1-2-21-112−33−33-11-1100001-13−3-22−33−3311-1-133−3−30000−2i2i2i−2i0000000000000000i−i−i3i3−iii3−i30000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-4444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21111-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-2222211112222-2-222-2-2-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-444-400-44-4000004-4004-24-4-222-4-2-222-2-2224-400000000-2-22200000000000000000000000000000000000000000000
χ5444-4-444-400-44-4000004-400-24-224-4-4244-4-4-2-222-2200000000-2-22200000000000000000000000000000000000000000000
χ5544-4-444-400-44-4000004-400-2-2-22-2222-2-22211-1-1-220000000011-1-13i−3i3i−3i3i−3i3i−3i000000000000000000000000000000000000
χ5644-4-444-400-44-4000004-400-2-2-22-2222-2-22211-1-1-220000000011-1-1−3i3i−3i3i−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-44-4400-44-400000-44004-24-4-222-422-2-2-2-222-440000000022-2-200000000000000000000000000000000000000000000
χ5844-4-44-4400-44-400000-4400-24-224-4-42-4-444-2-2222-20000000022-2-200000000000000000000000000000000000000000000
χ5944-4-44-4400-44-400000-4400-2-2-22-222222-2-211-1-12-200000000-1-1113i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-44-4400-44-400000-4400-2-2-22-222222-2-211-1-12-200000000-1-111−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000
χ614-44-440000-4-4400000000044-44-4-44-400004-4-440000000000000000000000000000000000000000000000000000000000
χ624-44-440000-4-440000000004-2-4422-2-423−23−2323-222-2000000000023−23−232300000000000000000000000000000000000000000000
χ634-44-440000-4-440000000004-2-4422-2-4−232323−23-222-20000000000−232323−2300000000000000000000000000000000000000000000
χ644-44-440000-4-44000000000-242-2-4-4420000-222-200−2i32i300000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ654-44-440000-4-44000000000-242-2-4-4420000-222-2002i3−2i3000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ664-44-440000-4-44000000000-2-22-222-2223−23−23231-1-1100−2i32i3000000−333−33i−3i−3i3ii3−i3−i3i3000000000000000000000000000000000000
χ674-44-440000-4-44000000000-2-22-222-2223−23−23231-1-11002i3−2i3000000−333−3−3i3i3i−3i−i3i3i3−i3000000000000000000000000000000000000
χ684-44-440000-4-44000000000-2-22-222-22−232323−231-1-1100−2i32i30000003−3−33−3i3i3i−3ii3−i3−i3i3000000000000000000000000000000000000
χ694-44-440000-4-44000000000-2-22-222-22−232323−231-1-11002i3−2i30000003−3−333i−3i−3i3i−i3i3i3−i3000000000000000000000000000000000000
χ704-4-444004-44-4-444-4-400000-2422-44-4-20000-22-2200004-400-220000-2-2220000000000000000000000000000000000000000
χ714-4-444004-44-4-444-4-400000-2-2222-22-223−2323−231-11-10000-2223−23-22−33−3311-1-1−3−333000000000000000000000000000000000000
χ724-4-444004-44-4-444-4-400000-2-2222-22-2−2323−23231-11-10000-22−2323-223−33−311-1-133−3−3000000000000000000000000000000000000
χ734-4-44400-444-4-4-4-44400000-2422-44-4-20000-22-220000-44002-2000022-2-20000000000000000000000000000000000000000
χ744-4-44400-444-4-4-4-44400000-2-2222-22-223−2323−231-11-100002-2−23232-2−33−33-1-11133−3−3000000000000000000000000000000000000
χ754-4-44400-444-4-4-4-44400000-2-2222-22-2−2323−23231-11-100002-223−232-23−33−3-1-111−3−333000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000022000000-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-20000-2-200000011111111000000000000
χ786666-366-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000022220000-2-2000000-1-1-1-11111000000000000
χ796666-366-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-20000220000001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-200002-2000000-1-111-1-111000000000000
χ816666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2220000-2200000011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-20000-22000000-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-22200002-200000011-1-1-1-111000000000000
χ8466-6-6-36-6003-3333−3333−330-3333−33000000000000000000000000000000000000002-22-2000000000000-11-113−33−3000000000000
χ8566-6-6-36-6003-3333−3333−330-3333−3300000000000000000000000000000000000000-22-220000000000001-11-1−33−33000000000000
χ8666-6-6-36-6003-33−3333−33330-33−3333000000000000000000000000000000000000002-22-2000000000000-11-11−33−33000000000000
χ8766-6-6-36-6003-33−3333−33330-33−333300000000000000000000000000000000000000-22-220000000000001-11-13−33−3000000000000
χ8866-6-6-3-66003-3333−3333−3303-3−3333000000000000000000000000000000000000002-2-22000000000000-111-13−3−33000000000000
χ8966-6-6-3-66003-3333−3333−3303-3−333300000000000000000000000000000000000000-222-20000000000001-1-11−333−3000000000000
χ9066-6-6-3-66003-33−3333−333303-333−33000000000000000000000000000000000000002-2-22000000000000-111-1−333−3000000000000
χ9166-6-6-3-66003-33−3333−333303-333−3300000000000000000000000000000000000000-222-20000000000001-1-113−3−33000000000000
χ9212-1212-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-60012-12-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600-1212-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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