Finite Group Databasebeta

← Group #11779880

Character table — Group #11779880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666344466612121212121212121212121212121212412121212121212121212121212121212121212124412121212222666666882424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111-1-1111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111111111-1-1-1-1-1
χ611111111111111111-1-1111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-1111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ811111111111111111-1-1111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222-2-22222222-2-2-2-2-2-22-2-2-222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-222222-2-2-20000222222-20-2-2000000-2-2-2-200000000222222-200-2-20000000000000000000
χ12222222-22-22222222200-222222-2-2-20000222222-20-2-2000000-2-2-2-200000000-2-2-2-2-2-2200220000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2022000000-2-2220000000000000002-20022-2-2000000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2022000000-2-222000000000000000-2200-2-222000000000000000
χ1522222-12222-122-1-12-1222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1000000000000000
χ1622222-12222-122-1-12-1222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111111000000000000000
χ1722222-12222-122-1-12-1-2-22-1-1-1-1-12-1-1111122-1-1-1-12-22-1-2-2-2-211-1-1-1-11111111122-1-1-1-12-2-2-1-11111000000000000000
χ1822222-12222-122-1-12-1-2-22-1-1-1-1-12-1-1111122-1-1-1-12-22-1-2-2-2-211-1-1-1-111111111-2-21111-22211-1-1-1-1000000000000000
χ1922222-12-22-2-122-1-12-122-2-1-1-1112-1-1-1-1-1-1-2-211112-2-2122-2-211-1-111-1-1-1-1111100−i3−i3i3i3000−i3i3−i3i3−i3i3000000000000000
χ2022222-12-22-2-122-1-12-122-2-1-1-1112-1-1-1-1-1-1-2-211112-2-2122-2-211-1-111-1-1-1-1111100i3i3−i3−i3000i3−i3i3−i3i3−i3000000000000000
χ2122222-12-22-2-122-1-12-1-2-2-2-1-1-1112-1-11111-2-2111122-21-2-222-1-1-1-1111111-1-1-1-100−i3−i3i3i3000−i3i3i3−i3i3−i3000000000000000
χ2222222-12-22-2-122-1-12-1-2-2-2-1-1-1112-1-11111-2-2111122-21-2-222-1-1-1-1111111-1-1-1-100i3i3−i3−i3000i3−i3−i3i3−i3i3000000000000000
χ2322222-1-22-22-122-1-12-100-2-1-1-1-1-1-211−i3−i3i3i322-1-1-1-1-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-20011−i3i3i3−i3000000000000000
χ2422222-1-22-22-122-1-12-100-2-1-1-1-1-1-211−i3−i3i3i322-1-1-1-1-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-21111200-1-1i3−i3−i3i3000000000000000
χ2522222-1-22-22-122-1-12-100-2-1-1-1-1-1-211i3i3−i3−i322-1-1-1-1-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-20011i3−i3−i3i3000000000000000
χ2622222-1-22-22-122-1-12-100-2-1-1-1-1-1-211i3i3−i3−i322-1-1-1-1-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-21111200-1-1−i3i3i3−i3000000000000000
χ2722222-1-2-2-2-2-122-1-12-1002-1-1-111-211−i3−i3i3i3-2-21111-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-2i3−i3-1-111000000000000000
χ2822222-1-2-2-2-2-122-1-12-1002-1-1-111-211−i3−i3i3i3-2-21111-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-22−i3i311-1-1000000000000000
χ2922222-1-2-2-2-2-122-1-12-1002-1-1-111-211i3i3−i3−i3-2-21111-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-22i3−i311-1-1000000000000000
χ3022222-1-2-2-2-2-122-1-12-1002-1-1-111-211i3i3−i3−i3-2-21111-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-2−i3i3-1-111000000000000000
χ312222-1222222-1-122-1-1222-1-1-122-1222222-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000022-1-1-1-100002-1-100
χ322222-1222222-1-122-1-1222-1-1-122-1222222-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-211110000-21100
χ332222-1222222-1-122-1-1-2-22-1-1-122-122-2-2-2-2-1-1-1-1-1-1-1-2-121111-2-2-1-1-1-11111111100000000000000022-1-1-1-10000-21100
χ342222-1222222-1-122-1-1-2-22-1-1-122-122-2-2-2-2-1-1-1-1-1-1-1-2-121111-2-2-1-1-1-111111111000000000000000-2-2111100002-1-100
χ352222-122-22-22-1-122-1-122-2-1-1-1-2-2-1222222111111-1-21-2-1-111-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-22-1-122-1-122-2-1-1-1-2-2-1222222111111-1-21-2-1-111-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-22-1-122-1-1-2-2-2-1-1-1-2-2-122-2-2-2-2111111-121-211-1-122-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-22-1-122-1-1-2-2-2-1-1-1-2-2-122-2-2-2-2111111-121-211-1-122-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ392-22-22220-20-22-2-22-222-20-22-20022-22-22-2000000-20002-200002-2002-22-20000000000000000000000000−i2−i2i2i2000−i2i2
χ402-22-22220-20-22-2-22-222-20-22-20022-22-22-2000000-20002-200002-2002-22-20000000000000000000000000i2i2−i2−i2000i2−i2
χ412-22-22220-20-22-2-22-22-220-22-20022-2-22-22000000-2000-2200002-200-22-220000000000000000000000000−i2−i2i2i2000i2−i2
χ422-22-22220-20-22-2-22-22-220-22-20022-2-22-22000000-2000-2200002-200-22-220000000000000000000000000i2i2−i2−i2000−i2i2
χ432-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-200000000000000000000002i−2i2i−2i2i−2i000000000−i2i2−i2i2−i2i22−22−200000
χ442-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-200000000000000000000002i−2i2i−2i2i−2i000000000i2−i2i2−i2i2−i2−22−2200000
χ452-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-20000000000000000000000−2i2i−2i2i−2i2i000000000−i2i2−i2i2−i2i2−22−2200000
χ462-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-20000000000000000000000−2i2i−2i2i−2i2i000000000i2−i2i2−i2i2−i22−22−200000
χ474444-24-44-444-2-244-2-200-4-2-2-2442-4-40000-2-2-2-2-2-2202-4000000222200000000000000000000000000000000000000
χ484444-24-4-4-4-44-2-244-2-2004-2-2-2-4-42-4-4000022222220-2400000022-2-200000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-22222-2-21111-2-4-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-411122-2-2-2-2-2-2-222-1-1-1-1-2-422-2-2222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-242222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222−2i3−2i32i32i3-2-2111120220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111-2-22222i32i3−2i3−2i3-2-21111202200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2100411122222−2i3−2i32i32i322-1-1-1-120-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21004111222222i32i3−2i3−2i322-1-1-1-120-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-4440000-4-444-4-44000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ5844-4-4440000-4-444-4-44000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ594-44-444-4040-44-4-44-44000-44-400-4-4400000000004000000000-440000000000000000000000000000000000000000
χ604-44-44-240-4024-42-2-4-24-402-22004-22-22-22000000-40004-40000-2200-22-220000000000000000000000000000000000
χ614-44-44-240-4024-42-2-4-2-4402-22004-222-22-2000000-4000-440000-22002-22-20000000000000000000000000000000000
χ624-44-44-2-404024-42-2-4-20002-2200-42-2−2i32i32i3−2i300000040000000002-200−2i32i32i3−2i30000000000000000000000000000000000
χ634-44-44-2-404024-42-2-4-20002-2200-42-22i3−2i3−2i32i300000040000000002-2002i3−2i3−2i32i30000000000000000000000000000000000
χ644-44-4-2440-40-4-22-442-24-402-2200-24-44-44-40000002000-220000-2200-22-220000000000000000000000000000000000
χ654-44-4-2440-40-4-22-442-2-4402-2200-24-4-44-4400000020002-20000-22002-22-20000000000000000000000000000000000
χ664-44-4-24-4040-4-22-442-20002-22002-440000000000-20000023−23002-200000023−2323−23000000000000000000000000000000
χ674-44-4-24-4040-4-22-442-20002-22002-440000000000-200000−2323002-2000000−2323−2323000000000000000000000000000000
χ684-44-4-2-240-402-222-2214-40-11-100-2-22-22-22003i−3i3i−3i2000-2200001-13i−3i1-11-13i−3i−3i3i000000000000000000000000000000
χ694-44-4-2-240-402-222-2214-40-11-100-2-22-22-2200−3i3i−3i3i2000-2200001-1−3i3i1-11-1−3i3i3i−3i000000000000000000000000000000
χ704-44-4-2-240-402-222-221-440-11-100-2-222-22-2003i−3i3i−3i20002-200001-13i−3i-11-11−3i3i3i−3i000000000000000000000000000000
χ714-44-4-2-240-402-222-221-440-11-100-2-222-22-200−3i3i−3i3i20002-200001-1−3i3i-11-113i−3i−3i3i000000000000000000000000000000
χ724-44-4-2-2-40402-222-221000-11-10022-2−2i32i32i3−2i3003i−3i3i−3i-200000−232300-11−3i3ii3−i3−i3i33−33−3000000000000000000000000000000
χ734-44-4-2-2-40402-222-221000-11-10022-2−2i32i32i3−2i300−3i3i−3i3i-20000023−2300-113i−3ii3−i3−i3i3−33−33000000000000000000000000000000
χ744-44-4-2-2-40402-222-221000-11-10022-22i3−2i3−2i32i3003i−3i3i−3i-20000023−2300-11−3i3i−i3i3i3−i3−33−33000000000000000000000000000000
χ754-44-4-2-2-40402-222-221000-11-10022-22i3−2i3−2i32i300−3i3i−3i3i-200000−232300-113i−3i−i3i3i3−i33−33−3000000000000000000000000000000
χ764-4-44440-4044-4-4-4-4440004-4-4-440000000-44-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-2-4-4224-2000-222-2200000004-4-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ784-4-444-2040-4-2-4-4224-2000-222-2200000004-4-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ794-4-444-20-404-2-4-4224-2000-2222-20000000-4422-2-200000000000000000000000023−23−2323000000000000000000000000
χ804-4-444-20-404-2-4-4224-2000-2222-20000000-4422-2-2000000000000000000000000−232323−23000000000000000000000000
χ814-4-44-24040-4422-4-4-2-2000-2224-40000000-22-2-2220000000000000000000000000000000000000−2i22i2i2−i2i2−i2000000000
χ824-4-44-24040-4422-4-4-2-2000-2224-40000000-22-2-22200000000000000000000000000000000000002i2−2i2−i2i2−i2i2000000000
χ834-4-44-240-404422-4-4-2-2000-222-4400000002-222-2-20000000000000000000000000000000000000006−6−66000000000
χ844-4-44-240-404422-4-4-2-2000-222-4400000002-222-2-2000000000000000000000000000000000000000−666−6000000000
χ8588-8-88-400004-88-44-8-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-84-48-84-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4000044-4-4442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-4000044-4-4442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-8-44444-420002-2-2-440000000-4422-2-20000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-808-44444-420002-2-24-400000004-4-2-2220000000000000000000000000000000000000000000000000000

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