Finite Group Databasebeta

← Group #11868845

Character table — Group #11868845

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666344666121212124444481212121212122424242424242424224444121212121212121212122244446688121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1111-1-1111111-1-1-1-11-1111-1-1-1-1111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111-11-1-1-11-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-1111-1-1-111111111-1-1-1-1-11-1-1-11111-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-11-1-1-11-1111-111-1-1-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-1-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111111-11-1-1-1-11111111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-11
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-1-1-11-1111-1-111111-1-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-11111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111-1-111-111-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-11111-11-1-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-1-111111-11-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1111111-1-11111-111-11111-1-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222000000-2-20000000000-200-22222000000-2-222000000-200-20000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-20000000000200-222-2-200000022-2-2000000200-20000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-20000000000-2002-2-22200000022-2-2000000-20020000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000002002-2-2-2-2000000-2-22200000020020000000000
χ2122222-122-12-122-1-122-1-1-1-12-1222002222-1-1-1-122-1-1-1-1-1-1220002-1-1002-1-1-1-1-1000020-1-120000-1-1-10000-1000
χ2222222-122-12-122-1-122-1-1-1-12-122200-2-222-1-1-1-1-2-2111111220002-1-100-21-1-1110000-20-1-1-20000-11100001000
χ2322222-122-12-122-1-122-1-1-1-12-12-2-2002222-1-1-1-122-1-1-1-1-1-1-2-2000-211002-1-1-1-1-10000-2011-2000011100001000
χ2422222-122-12-122-1-122-1-1-1-12-12-2-200-2-222-1-1-1-1-2-2111111-2-2000-21100-21-1-11100002011200001-1-10000-1000
χ2522222-122-12-122-1-1-2-2-1-1-1-12-1222002-2-2-211-1-1-2-2111111-2-20002-1-1002-111-1-100002011-20000-1110000-1000
χ2622222-122-12-122-1-1-2-2-1-1-1-12-122200-22-2-211-1-122-1-1-1-1-1-1-2-20002-1-100-2111110000-201120000-1-1-100001000
χ2722222-122-12-122-1-1-2-2-1-1-1-12-12-2-2002-2-2-211-1-1-2-211111122000-211002-111-1-10000-20-1-1200001-1-100001000
χ2822222-122-12-122-1-1-2-2-1-1-1-12-12-2-200-22-2-211-1-122-1-1-1-1-1-122000-21100-211111000020-1-1-200001110000-1000
χ292222-12222-12-1-12-122-1-1-12-12-1002222-1-122-1-1-1-122-1-1-1-100222000-1-1-12-1-1-1-10000020002-1-1-1000-1-1000-100
χ302222-12222-12-1-12-122-1-1-12-12-10022-2-2-1-122-1-111-2-2111100222000-1-11-2-1-11100000-2000-2-1-1-100011000100
χ312222-12222-12-1-12-122-1-1-12-12-100-2-222-1-122-1-1-1-122-1-1-1-100-2-2-200011-12-1-1-1-100000-2000-211100011000100
χ322222-12222-12-1-12-122-1-1-12-12-100-2-2-2-2-1-122-1-111-2-2111100-2-2-2000111-2-1-1110000020002111000-1-1000-100
χ332222-12222-12-1-12-1-2-2-1-1-12-12-100222-211-2-2-1-111-2-21111002-2-2000-1-1-1211-1-1000002000-2-11100011000-100
χ342222-12222-12-1-12-1-2-2-1-1-12-12-10022-2211-2-2-1-1-1-122-1-1-1-1002-2-2000-1-11-2111100000-20002-111000-1-1000100
χ352222-12222-12-1-12-1-2-2-1-1-12-12-100-2-22-211-2-2-1-111-2-2111100-22200011-1211-1-100000-200021-1-1000-1-1000100
χ362222-12222-12-1-12-1-2-2-1-1-12-12-100-2-2-2211-2-2-1-1-1-122-1-1-1-100-222000111-21111000002000-21-1-100011000-100
χ372-22-2222-22-2-22-2-22002-2-222-2-200000000002-2000000002-202-2000000000002-22-2002-20002-200000000000
χ382-22-2222-22-2-22-2-22002-2-222-2-200000000002-2000000002-20-2200000000000-22-22002-2000-2200000000000
χ392-22-2222-22-2-22-2-22002-2-222-2-200000000002-200000000-2202-200000000000-22-2200-220002-200000000000
χ402-22-2222-22-2-22-2-22002-2-222-2-200000000002-200000000-220-22000000000002-22-200-22000-2200000000000
χ412-22-222-222-2-22-2-222i−2i2-2-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i002-2-22000000000000002i−2i0000
χ422-22-222-222-2-22-2-222i−2i2-2-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i00-222-200000000000000−2i2i0000
χ432-22-222-222-2-22-2-22−2i2i2-2-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i002-2-2200000000000000−2i2i0000
χ442-22-222-222-2-22-2-22−2i2i2-2-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i00-222-2000000000000002i−2i0000
χ4544444-2-4-4-24-244-2-200-2-2-22-42-44400000000220000000000000-4-2-200000000000000000000020000000000
χ4644444-2-4-4-24-244-2-200-2-2-22-42-4-4-400000000220000000000000422000000000000000000000-20000000000
χ474444-24-4-44-24-2-24-200-2-2-2-42-420044000000220000000000-400000-2-2000000000000000020000000000000
χ484444-24-4-44-24-2-24-200-2-2-2-42-4200-4-4000000220000000000400000220000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-2112222-1-1-1-100000000002211-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222112222-1-1-1-10000000000-2-2-1-111000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-44222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ5344-4-44400-444-4-4-4400-44-400004-40000000000000000000000004-400000000000000000000000000000000
χ5444-4-44400-444-4-4-4400-44-40000-44000000000000000000000000-4400000000000000000000000000000000
χ5544-4-44-20024-2-4-42-2002-2200004-40000000000006−666−6−6000000-2200000000000000000000006−600000000
χ5644-4-44-20024-2-4-42-2002-2200004-4000000000000−66−6−666000000-220000000000000000000000−6600000000
χ5744-4-44-20024-2-4-42-2002-220000-440000000000006−666−6−60000002-20000000000000000000000−6600000000
χ5844-4-44-20024-2-4-42-2002-220000-44000000000000−66−6−6660000002-200000000000000000000006−600000000
χ594-44-44-24-4-2-424-42-200-222-242-40000000000-22000000004-400000000000000000000-220000000000000000
χ604-44-44-24-4-2-424-42-200-222-242-40000000000-2200000000-44000000000000000000002-20000000000000000
χ614-44-44-2-44-2-424-42-24i−4i-2222-4-240000004i−4i−2i2i2-200000000000000000000−2i2i00000000000000000000000000
χ624-44-44-2-44-2-424-42-2−4i4i-2222-4-24000000−4i4i2i−2i2-2000000000000000000002i−2i00000000000000000000000000
χ634-44-4-244-442-4-22-4-200-2224-2-420000000000-22000000000004-40000000000000000000000-2200000000000
χ644-44-4-244-442-4-22-4-200-2224-2-420000000000-2200000000000-4400000000000000000000002-200000000000
χ654-44-4-24-4442-4-22-4-24i−4i-222-424-2000000−2i2i4i−4i2-200000000000000000000−2i2i00000000000000000000000000
χ664-44-4-24-4442-4-22-4-2−4i4i-222-424-20000002i−2i−4i4i2-2000000000000000000002i−2i00000000000000000000000000
χ674-44-4-2-2-44-222-22214i−4i1-1-122-2-2000000−2i2i−2i2i-1100003-33-3000000000000i−i3i−3i000000000000000000000000
χ684-44-4-2-2-44-222-22214i−4i1-1-122-2-2000000−2i2i−2i2i-110000-33-33000000000000i−i−3i3i000000000000000000000000
χ694-44-4-2-2-44-222-2221−4i4i1-1-122-2-20000002i−2i2i−2i-1100003-33-3000000000000−ii−3i3i000000000000000000000000
χ704-44-4-2-2-44-222-2221−4i4i1-1-122-2-20000002i−2i2i−2i-110000-33-33000000000000−ii3i−3i000000000000000000000000
χ714-4-444400-4-4-4-444400-4-440000004-40000000000000000000000004-4000000000000000000000000000000
χ724-4-444400-4-4-4-444400-4-44000000-44000000000000000000000000-44000000000000000000000000000000
χ734-4-44-2400-42-42-24-20022-20000004-4000000006−6006−6−6600000000-2200000000000000000000006−6000000
χ744-4-44-2400-42-42-24-20022-20000004-400000000−6600−666−600000000-220000000000000000000000−66000000
χ754-4-44-2400-42-42-24-20022-2000000-44000000006−6006−6−66000000002-20000000000000000000000−66000000
χ764-4-44-2400-42-42-24-20022-2000000-4400000000−6600−666−6000000002-200000000000000000000006−6000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4800-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4-4444200-22-200000000000000000026−26−6−6660000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-4444200-22-2000000000000000000−262666−6−60000000000000000000000000000000000000000
χ818-88-8-4-48-8-444-4442002-2-2-4-44400000000002-2000000000000000000000000000000000000000000000000
χ828-8-888-4004-84-88-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-2-22000000000000000026−2600−666−60000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-2-220000000000000000−2626006−6−660000000000000000000000000000000000000000

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