Finite Group Databasebeta

← Group #13147818

Character table — Group #13147818

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446664121212121212336666661212121212121212366612121212121212121212121212121212121212122222444444444444666612121212121212121212121212121212
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
χ51111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-111111-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111-11-11
χ1111111-1-111111-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-11-11-1-111-1-11111-1-111-1-1-11-11
χ1211111-1-111111-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-11-1-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-1-1111-1-1-1-11111-1-1-1-1111-1-11
χ1411111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-111-1
χ1511111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-111-1-1-11111-1-111-1-1-1-111-111-1
χ1611111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-11-1-11111-1-1-1-11111-1-11-1-11
χ1722222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022000000-1-1-1-1-1-1-1-1000000000000
χ1822222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200000011111111000000000000
χ192222222222222222222-12-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220022000000000000-1-1-1-1-1-1-1-10000
χ202222222222222222222-12-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000000000111111110000
χ212222222-2-2222-222-2-2-2-22-12-1-122-122221111-1-1-1-1-1-111-2-2-2-2-1-1-1-11111111122220000-2-2000000-1-1-1-11111000000000000
χ222222222-2-2222-222-2-2-2-22-12-1-122-122221111-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111-2-2-2-20000220000001111-1-1-1-1000000000000
χ232222222-2-2222-222-2-2-2-2-12-122-1-12-1-1-1-1-2-2-2-2-1-1-1-122-2-21111-1-1-1-111111111000022-2-2002-2000000000000-1-1-1-111110000
χ242222222-2-2222-222-2-2-2-2-12-122-1-12-1-1-1-1-2-2-2-2-1-1-1-122-2-21111-1-1-1-1111111110000-2-22200-220000000000001111-1-1-1-10000
χ2522222-2-222222-2-2-222-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1111122-2-21111-1-1-1-1111122-2-200002-2000000-1-111-1-111000000000000
χ2622222-2-222222-2-2-222-2-22-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1111122-2-21111-1-1-1-11111-2-2220000-2200000011-1-111-1-1000000000000
χ2722222-2-222222-2-2-222-2-2-12-122-1-1211112222-1-1-1-1-2-2-2-2-1-1111111-1-1-1-111110000222200-2-2000000000000-1-111-1-1110000
χ2822222-2-222222-2-2-222-2-2-12-122-1-1211112222-1-1-1-1-2-2-2-2-1-1111111-1-1-1-111110000-2-2-2-2002200000000000011-1-111-1-10000
χ2922222-2-2-2-22222-2-2-2-2222-12-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-22211111111-1-1-1-122-2-20000-22000000-1-11111-1-1000000000000
χ3022222-2-2-2-22222-2-2-2-2222-12-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-22211111111-1-1-1-1-2-22200002-200000011-1-1-1-111000000000000
χ3122222-2-2-2-22222-2-2-2-222-12-122-1-121111-2-2-2-2-1-1-1-1-2-22211-1-111111111-1-1-1-1000022-2-200-22000000000000-1-11111-1-10000
χ3222222-2-2-2-22222-2-2-2-222-12-122-1-121111-2-2-2-2-1-1-1-1-2-22211-1-111111111-1-1-1-10000-2-222002-200000000000011-1-1-1-1110000
χ3322-2-222-2002-2-202-200002222-2-2-2-222-2-2000022-2-22-200000022-2-2000000002-22-20000000000002-22-20000000000000000
χ3422-2-222-2002-2-202-200002222-2-2-2-222-2-2000022-2-22-200000022-2-200000000-22-22000000000000-22-220000000000000000
χ3522-2-222-2002-2-202-200002-12-11-2-2122-2-233−3−3-1-111-113−30000-1-11133−3−333−3−32-22-2000000000000-11-113−33−3000000000000
χ3622-2-222-2002-2-202-200002-12-11-2-2122-2-233−3−3-1-111-113−30000-1-11133−3−333−3−3-22-220000000000001-11-1−33−33000000000000
χ3722-2-222-2002-2-202-200002-12-11-2-2122-2-2−3−333-1-111-11−330000-1-111−3−333−3−3332-22-2000000000000-11-11−33−33000000000000
χ3822-2-222-2002-2-202-200002-12-11-2-2122-2-2−3−333-1-111-11−330000-1-111−3−333−3−333-22-220000000000001-11-13−33−3000000000000
χ3922-2-22-22002-2-20-2200002222-2-2-2-2-2-222000022-2-2-22000000-2-222000000002-2-220000000000002-2-220000000000000000
χ4022-2-22-22002-2-20-2200002222-2-2-2-2-2-222000022-2-2-22000000-2-22200000000-222-2000000000000-222-20000000000000000
χ4122-2-22-22002-2-20-2200002-12-11-2-21-2-22233−3−3-1-1111-1−33000011-1-133−3−3−3−3332-2-22000000000000-111-13−3−33000000000000
χ4222-2-22-22002-2-20-2200002-12-11-2-21-2-22233−3−3-1-1111-1−33000011-1-133−3−3−3−333-222-20000000000001-1-11−333−3000000000000
χ4322-2-22-22002-2-20-2200002-12-11-2-21-2-222−3−333-1-1111-13−3000011-1-1−3−33333−3−32-2-22000000000000-111-1−333−3000000000000
χ4422-2-22-22002-2-20-2200002-12-11-2-21-2-222−3−333-1-1111-13−3000011-1-1−3−33333−3−3-222-20000000000001-1-113−3−33000000000000
χ452-22-22002-2-22-20002-20022-2-2-22-2200002-22-22-22-200002-20000002-22-2000000002i−2i2i−2i00000000000000002i−2i002i−2i000000
χ462-22-22002-2-22-20002-20022-2-2-22-2200002-22-22-22-200002-20000002-22-200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i000000
χ472-22-22002-2-22-20002-200-121-2-2-1123−33−32-22-2-11-110000-113−33−33−3-11-113−33−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i30000
χ482-22-22002-2-22-20002-200-121-2-2-1123−33−32-22-2-11-110000-113−33−33−3-11-113−33−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i30000
χ492-22-22002-2-22-20002-200-121-2-2-112−33−332-22-2-11-110000-11−33−33−33-11-11−33−3300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i30000
χ502-22-22002-2-22-20002-200-121-2-2-112−33−332-22-2-11-110000-11−33−33−33-11-11−33−330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i30000
χ512-22-2200-22-22-2000-220022-2-2-22-220000-22-222-22-20000-22000000-22-22000000002i−2i−2i2i00000000000000002i−2i00−2i2i000000
χ522-22-2200-22-22-2000-220022-2-2-22-220000-22-222-22-20000-22000000-22-2200000000−2i2i2i−2i0000000000000000−2i2i002i−2i000000
χ532-22-2200-22-22-2000-2200-121-2-2-1123−33−3-22-22-11-1100001-1−333−33−31-11-1−33−3300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i30000
χ542-22-2200-22-22-2000-2200-121-2-2-1123−33−3-22-22-11-1100001-1−333−33−31-11-1−33−330000−2i2i2i−2i0000000000000000i−ii3−i3−ii−i3i30000
χ552-22-2200-22-22-2000-2200-121-2-2-112−33−33-22-22-11-1100001-13−3−33−331-11-13−33−300002i−2i−2i2i0000000000000000−iii3−i3i−i−i3i30000
χ562-22-2200-22-22-2000-2200-121-2-2-112−33−33-22-22-11-1100001-13−3−33−331-11-13−33−30000−2i2i2i−2i0000000000000000i−i−i3i3−iii3−i30000
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
χ584444444-4-4444-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-222221111-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5944444-4-444444-4-4-444-4-4-2-2-2-2-2-2-2-22222-2-2-2-211112222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6044444-4-4-4-44444-4-4-4-444-2-2-2-2-2-2-2-222222222111122-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6144-4-444-4004-4-404-40000-24-24-422-4-2-2220000-2-2224-4000000-2-22200000000000000000000000000000000000000000000
χ6244-4-444-4004-4-404-40000-2-2-2-22222-2-2222323−23−2311-1-1-2223−23000011-1-1−3−333−3−333000000000000000000000000000000000000
χ6344-4-444-4004-4-404-40000-2-2-2-22222-2-222−23−23232311-1-1-22−2323000011-1-133−3−333−3−3000000000000000000000000000000000000
χ6444-4-44-44004-4-40-440000-24-24-422-422-2-20000-2-222-4400000022-2-200000000000000000000000000000000000000000000
χ6544-4-44-44004-4-40-440000-2-2-2-2222222-2-22323−23−2311-1-12-2−23230000-1-111−3−33333−3−3000000000000000000000000000000000000
χ6644-4-44-44004-4-40-440000-2-2-2-2222222-2-2−23−23232311-1-12-223−230000-1-11133−3−3−3−333000000000000000000000000000000000000
χ674-44-44004-4-44-40004-4004-2-4224-4-20000-22-22-22-2200004-4000000-22-220000000000000000000000000000000000000000
χ684-44-44004-4-44-40004-400-2-2222-22-223−2323−23-22-221-11-10000-2223−23−33−331-11-1−33−33000000000000000000000000000000000000
χ694-44-44004-4-44-40004-400-2-2222-22-2−2323−2323-22-221-11-10000-22−23233−33−31-11-13−33−3000000000000000000000000000000000000
χ704-44-4400-44-44-4000-44004-2-4224-4-200002-22-2-22-220000-440000002-22-20000000000000000000000000000000000000000
χ714-44-4400-44-44-4000-4400-2-2222-22-223−2323−232-22-21-11-100002-2−2323−33−33-11-113−33−3000000000000000000000000000000000000
χ724-44-4400-44-44-4000-4400-2-2222-22-2−2323−23232-22-21-11-100002-223−233−33−3-11-11−33−33000000000000000000000000000000000000
χ734-4-4440000-4-44000000044-4-44-44-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ744-4-4440000-4-4400000004-2-42-2-442000023−23−2323-222-200000000000023−23−23230000000000000000000000000000000000000000
χ754-4-4440000-4-4400000004-2-42-2-4420000−232323−23-222-2000000000000−232323−230000000000000000000000000000000000000000
χ764-4-4440000-4-440000000-242-442-2-423−23−23230000-222-20000000023−23−232300000000000000000000000000000000000000000000
χ774-4-4440000-4-440000000-242-442-2-4−232323−230000-222-200000000−232323−2300000000000000000000000000000000000000000000
χ784-4-4440000-4-440000000-2-222-22-2223−23−232323−23−23231-1-1100000000−333−3−333−33-3-33000000000000000000000000000000000000
χ794-4-4440000-4-440000000-2-222-22-2223−23−2323−232323−231-1-1100000000−333−33−3−33-333-3000000000000000000000000000000000000
χ804-4-4440000-4-440000000-2-222-22-22−232323−2323−23−23231-1-11000000003−3−33−333−3-333-3000000000000000000000000000000000000
χ814-4-4440000-4-440000000-2-222-22-22−232323−23−232323−231-1-11000000003−3−333−3−333-3-33000000000000000000000000000000000000
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
χ866666-3-6-666-3-3-3-633-3-33300000000000000000000000000000000000000000000000000002-22-20000000000000000-11-11
χ876666-3-6-666-3-3-3-633-3-3330000000000000000000000000000000000000000000000000000-22-2200000000000000001-11-1
χ886666-3-6-6-6-6-3-3-363333-3-300000000000000000000000000000000000000000000000000002-2-220000000000000000-111-1
χ896666-3-6-6-6-6-3-3-363333-3-30000000000000000000000000000000000000000000000000000-222-200000000000000001-1-11
χ901212-12-12-612-1200-6660-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-12-6-121200-66606-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-12-60012-126-66000-66000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-600-12126-660006-6000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-6000066-600000−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6000066-6000006i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000

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