Finite Group Databasebeta

← Group #13147761

Character table — Group #13147761

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446664121212121212336666661212121212121212366612121212121212121212121212121212121212124444444422444444666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ51111111-1-1111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ61111111-1-1111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ71111111-1-1111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ81111111-1-1111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ911111-1-111111-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-11-11-1-1-1-1-111-1-111-1-111111-11-1
χ1011111-1-111111-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-11-11111111-1-111-1-1-1-1-1-1-11-11
χ1111111-1-111111-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-11-11-1-1-1-1-1-111-1-1111111-11-11
χ1211111-1-111111-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-111-11-11111-1-111-1-111-1-1-1-11-11-1
χ1311111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-1-11-1-11111-1-1-1-11111-1-11-1-11
χ1411111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-111-111-1
χ1511111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1-1-111-1-11111-1-111-1-1-111-1
χ1611111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-1111-1-1-1-11111-1-1-1-1111-1-11
χ1722222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222222000000-1-1-1-100000000-1-1-1-10000
χ1822222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200000011110000000011110000
χ192222222222222222222-12-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000002200000000-1-1-1-1-1-1-1-100000000
χ202222222222222222222-12-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2000000001111111100000000
χ212222222-2-2222-222-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111111111000022-2-22-2000000-1-11100000000-1-1110000
χ222222222-2-2222-222-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1111122-2-2-1-1-1-1111111110000-2-222-2200000011-1-10000000011-1-10000
χ232222222-2-2222-222-2-2-2-2-12-122-1-1211112222-1-1-1-1-2-2-2-2-1-111-1-1-1-1111111112222000000-2-200000000-1-1-1-1111100000000
χ242222222-2-2222-222-2-2-2-2-12-122-1-1211112222-1-1-1-1-2-2-2-2-1-111-1-1-1-111111111-2-2-2-200000022000000001111-1-1-1-100000000
χ2522222-2-222222-2-2-2-2-2222-12-1-122-122221111-1-1-1-1-1-111-2-2-2-21111-1-1-1-1111100002222-2-2000000111100000000-1-1-1-10000
χ2622222-2-222222-2-2-2-2-2222-12-1-122-122221111-1-1-1-1-1-111-2-2-2-21111-1-1-1-111110000-2-2-2-222000000-1-1-1-10000000011110000
χ2722222-2-222222-2-2-2-2-222-12-122-1-12-1-1-1-1-2-2-2-2-1-1-1-122-2-211111111-1-1-1-1111122-2-20000002-200000000-1-111-1-11100000000
χ2822222-2-222222-2-2-2-2-222-12-122-1-12-1-1-1-1-2-2-2-2-1-1-1-122-2-211111111-1-1-1-11111-2-222000000-220000000011-1-111-1-100000000
χ2922222-2-2-2-22222-2-222-2-22-12-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-22211111111-1-1-1-1000022-2-2-2200000011-1-100000000-1-1110000
χ3022222-2-2-2-22222-2-222-2-22-12-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-22211111111-1-1-1-10000-2-2222-2000000-1-1110000000011-1-10000
χ3122222-2-2-2-22222-2-222-2-2-12-122-1-121111-2-2-2-2-1-1-1-1-2-22211-1-111111111-1-1-1-122-2-2000000-2200000000-1-11111-1-100000000
χ3222222-2-2-2-22222-2-222-2-2-12-122-1-121111-2-2-2-2-1-1-1-1-2-22211-1-111111111-1-1-1-1-2-2220000002-20000000011-1-1-1-11100000000
χ332-22-22002-2-2-22000002-22222-2-2-2-222-2-2000022-2-22-2000000000022-2-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ342-22-22002-2-2-22000002-22222-2-2-2-222-2-2000022-2-22-2000000000022-2-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ352-22-22002-2-2-22000002-22-12-11-2-2122-2-233−3−3-1-111-113−3000033−3−3-1-11133−3−300002i−2i2i−2i00000000−i3i3−i3i300000000−ii−ii0000
χ362-22-22002-2-2-22000002-22-12-11-2-2122-2-233−3−3-1-111-113−3000033−3−3-1-11133−3−30000−2i2i−2i2i00000000i3−i3i3−i300000000i−ii−i0000
χ372-22-22002-2-2-22000002-22-12-11-2-2122-2-2−3−333-1-111-11−330000−3−333-1-111−3−33300002i−2i2i−2i00000000i3−i3i3−i300000000−ii−ii0000
χ382-22-22002-2-2-22000002-22-12-11-2-2122-2-2−3−333-1-111-11−330000−3−333-1-111−3−3330000−2i2i−2i2i00000000−i3i3−i3i300000000i−ii−i0000
χ392-22-2200-22-2-2200000-222222-2-2-2-2-2-222000022-2-2-220000000000-2-222000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ402-22-2200-22-2-2200000-222222-2-2-2-2-2-222000022-2-2-220000000000-2-22200000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ412-22-2200-22-2-2200000-222-12-11-2-21-2-22233−3−3-1-1111-1−33000033−3−311-1-1−3−33300002i−2i−2i2i00000000−i3i3i3−i300000000−iii−i0000
χ422-22-2200-22-2-2200000-222-12-11-2-21-2-22233−3−3-1-1111-1−33000033−3−311-1-1−3−3330000−2i2i2i−2i00000000i3−i3−i3i300000000i−i−ii0000
χ432-22-2200-22-2-2200000-222-12-11-2-21-2-222−3−333-1-1111-13−30000−3−33311-1-133−3−300002i−2i−2i2i00000000i3−i3−i3i300000000−iii−i0000
χ442-22-2200-22-2-2200000-222-12-11-2-21-2-222−3−333-1-1111-13−30000−3−33311-1-133−3−30000−2i2i2i−2i00000000−i3i3i3−i300000000i−i−ii0000
χ452-2-2222-2002-2-202-2000022-2-2-22-2200002-22-22-22-200002-2002-22-2000000002i−2i2i−2i00000000000000002i−2i2i−2i000000000000
χ462-2-2222-2002-2-202-2000022-2-2-22-2200002-22-22-22-200002-2002-22-200000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ472-2-2222-2002-2-202-20000-121-2-2-1123−33−32-22-2-11-110000-113−3-11-113−33−33−33−32i−2i2i−2i0000000000000000−ii−ii−i3i3−i3i300000000
χ482-2-2222-2002-2-202-20000-121-2-2-1123−33−32-22-2-11-110000-113−3-11-113−33−33−33−3−2i2i−2i2i0000000000000000i−ii−ii3−i3i3−i300000000
χ492-2-2222-2002-2-202-20000-121-2-2-112−33−332-22-2-11-110000-11−33-11-11−33−33−33−332i−2i2i−2i0000000000000000−ii−iii3−i3i3−i300000000
χ502-2-2222-2002-2-202-20000-121-2-2-112−33−332-22-2-11-110000-11−33-11-11−33−33−33−33−2i2i−2i2i0000000000000000i−ii−i−i3i3−i3i300000000
χ512-2-222-22002-2-20-22000022-2-2-22-220000-22-222-22-20000-2200-22-22000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ522-2-222-22002-2-20-22000022-2-2-22-220000-22-222-22-20000-2200-22-2200000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ532-2-222-22002-2-20-220000-121-2-2-1123−33−3-22-22-11-1100001-1−331-11-13−33−3−33−332i−2i−2i2i0000000000000000−iii−i−i3i3i3−i300000000
χ542-2-222-22002-2-20-220000-121-2-2-1123−33−3-22-22-11-1100001-1−331-11-13−33−3−33−33−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i300000000
χ552-2-222-22002-2-20-220000-121-2-2-112−33−33-22-22-11-1100001-13−31-11-1−33−333−33−32i−2i−2i2i0000000000000000−iii−ii3−i3−i3i300000000
χ562-2-222-22002-2-20-220000-121-2-2-112−33−33-22-22-11-1100001-13−31-11-1−33−333−33−3−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i300000000
χ574444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ584444444-4-4444-444-4-4-4-4-2-2-2-2-2-2-2-22222-2-2-2-211112222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5944444-4-444444-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-222221111-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6044444-4-4-4-44444-4-444-4-4-2-2-2-2-2-2-2-222222222111122-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6144-4-440000-44-4000000044-4-44-44-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ6244-4-440000-44-400000004-2-42-2-442000023−23−2323-222-20000000023−23−232300000000000000000000000000000000000000000000
χ6344-4-440000-44-400000004-2-42-2-4420000−232323−23-222-200000000−232323−2300000000000000000000000000000000000000000000
χ6444-4-440000-44-40000000-242-442-2-423−23−23230000-222-200000000000023−23−23230000000000000000000000000000000000000000
χ6544-4-440000-44-40000000-242-442-2-4−232323−230000-222-2000000000000−232323−230000000000000000000000000000000000000000
χ6644-4-440000-44-40000000-2-222-22-2223−23−232323−23−23231-1-1100000000−333−3−333−33-3-33000000000000000000000000000000000000
χ6744-4-440000-44-40000000-2-222-22-2223−23−2323−232323−231-1-11000000003−3−33−333−3-333-3000000000000000000000000000000000000
χ6844-4-440000-44-40000000-2-222-22-22−232323−2323−23−23231-1-1100000000−333−33−3−33-333-3000000000000000000000000000000000000
χ6944-4-440000-44-40000000-2-222-22-22−232323−23−232323−231-1-11000000003−3−333−3−333-3-33000000000000000000000000000000000000
χ704-44-44004-4-4-44000004-4-24-24-422-4-2-2220000-2-2224-40000000000-2-2220000000000000000000000000000000000000000
χ714-44-44004-4-4-44000004-4-2-2-2-22222-2-2222323−23−2311-1-1-2223−230000−3−33311-1-1−3−333000000000000000000000000000000000000
χ724-44-44004-4-4-44000004-4-2-2-2-22222-2-222−23−23232311-1-1-22−2323000033−3−311-1-133−3−3000000000000000000000000000000000000
χ734-44-4400-44-4-4400000-44-24-24-422-422-2-20000-2-222-44000000000022-2-20000000000000000000000000000000000000000
χ744-44-4400-44-4-4400000-44-2-2-2-2222222-2-22323−23−2311-1-12-2−23230000−3−333-1-11133−3−3000000000000000000000000000000000000
χ754-44-4400-44-4-4400000-44-2-2-2-2222222-2-2−23−23232311-1-12-223−23000033−3−3-1-111−3−333000000000000000000000000000000000000
χ764-4-4444-4004-4-404-400004-2-4224-4-20000-22-22-22-2200004-400-22-2200000000000000000000000000000000000000000000
χ774-4-4444-4004-4-404-40000-2-2222-22-223−2323−23-22-221-11-10000-2223−231-11-1−33−33−33−33000000000000000000000000000000000000
χ784-4-4444-4004-4-404-40000-2-2222-22-2−2323−2323-22-221-11-10000-22−23231-11-13−33−33−33−3000000000000000000000000000000000000
χ794-4-444-44004-4-40-4400004-2-4224-4-200002-22-2-22-220000-44002-22-200000000000000000000000000000000000000000000
χ804-4-444-44004-4-40-440000-2-2222-22-223−2323−232-22-21-11-100002-2−2323-11-11−33−333−33−3000000000000000000000000000000000000
χ814-4-444-44004-4-40-440000-2-2222-22-2−2323−23232-22-21-11-100002-223−23-11-113−33−3−33−33000000000000000000000000000000000000
χ826666-36666-3-3-36-3-3-3-3-3-3000000000000000000000000000000000000000000000000000022220000000000000000-1-1-1-1
χ836666-36666-3-3-36-3-3-3-3-3-30000000000000000000000000000000000000000000000000000-2-2-2-200000000000000001111
χ846666-366-6-6-3-3-3-6-3-33333000000000000000000000000000000000000000000000000000022-2-20000000000000000-1-111
χ856666-366-6-6-3-3-3-6-3-333330000000000000000000000000000000000000000000000000000-2-222000000000000000011-1-1
χ866666-3-6-666-3-3-3-63333-3-300000000000000000000000000000000000000000000000000002-22-20000000000000000-11-11
χ876666-3-6-666-3-3-3-63333-3-30000000000000000000000000000000000000000000000000000-22-2200000000000000001-11-1
χ886666-3-6-6-6-6-3-3-3633-3-33300000000000000000000000000000000000000000000000000002-2-220000000000000000-111-1
χ896666-3-6-6-6-6-3-3-3633-3-3330000000000000000000000000000000000000000000000000000-222-200000000000000001-1-11
χ901212-12-12-600006-66000−6i36i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-12-600006-660006i3−6i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-12-60012-1266-600000-660000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-600-121266-6000006-60000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-612-1200-6660-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6-121200-66606-600000000000000000000000000000000000000000000000000000000000000000000000000000000

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