Finite Group Databasebeta

← Group #11871277

Character table — Group #11871277

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666223666121212122244466668121224242424242424242244446612126612121212444424668812121212242424244461228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111111-1-1-111-1-1111111-1-1-1-11-111-111-1-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-1-1111-1-111111111-1-1-1-1-11-1-11-1-1111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-11111-111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-111111-1-1-1-11-111
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
χ8111111111111111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1
χ911111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-11-1-11-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111111-1-1-1-1-111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-11
χ1111111111111111-1-11111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1-1-11-1111-1-1-111111-1-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-111-1-111-111-1
χ1311111111111111-1-111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-1-1111-11-1-1-1111-1-111-11-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-11111-111-11111-1-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-22222000000-2-20000000000-2-2002222000000-2-222000000-200-20000000000
χ18222222-2-2222222002222-2-2-2-222-2-2000000-2-20000000000-220022-2-200000022-2-2000000-20020000000000
χ19222222-2-2222222002222-2-2-2-2-2-222000000-2-200000000002-200-2-22200000022-2-2000000200-20000000000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-2000000-2-200000000002200-2-2-2-2000000-2-22200000020020000000000
χ2122222-122-12-1-12222-1-1-1-12-1-122200222-1-12-1-1-1-122-1-1-1-1222000-1-100-1-1-12-1-1000020-1-102-1000-1-10000-1000
χ2222222-122-12-1-12222-1-1-1-12-1-122200-222-1-1-2-1-111-2-21111222000-1-100-1-11-2110000-20-1-10-2-10001100001000
χ2322222-122-12-1-12222-1-1-1-12-1-12-2-200222-1-12-1-1-1-122-1-1-1-1-2-2-20001100-1-1-12-1-10000-20110-210001100001000
χ2422222-122-12-1-12222-1-1-1-12-1-12-2-200-222-1-1-2-1-111-2-21111-2-2-20001100-1-11-21100002011021000-1-10000-1000
χ2522222-122-12-1-122-2-2-1-1-1-12-1-1222002-2-211-2-1-111-2-21111-2-22000-1-10011-12-1-1000020110-2-1000110000-1000
χ2622222-122-12-1-122-2-2-1-1-1-12-1-122200-2-2-2112-1-1-1-122-1-1-1-1-2-22000-1-100111-2110000-201102-1000-1-100001000
χ2722222-122-12-1-122-2-2-1-1-1-12-1-12-2-2002-2-211-2-1-111-2-2111122-2000110011-12-1-10000-20-1-1021000-1-100001000
χ2822222-122-12-1-122-2-2-1-1-1-12-1-12-2-200-2-2-2112-1-1-1-122-1-1-1-122-20001100111-211000020-1-10-21000110000-1000
χ292222-12222-122-1-122-1-1-1-1-122-100222-1-1222-1-122-1-1-1-1-1-100022200-1-1-1-12-1-1-100000200200-1-1-100-1-1000-100
χ302222-12222-122-1-122-1-1-1-1-122-10022-2-1-122-2-1-1-2-211111100022200-1-1-1-1-211100000-200-200-1-1-10011000100
χ312222-12222-122-1-122-1-1-1-1-122-100-2-22-1-1222-1-122-1-1-1-1-1-1000-2-2-20011-1-12-1-1-100000-200-2001110011000100
χ322222-12222-122-1-122-1-1-1-1-122-100-2-2-2-1-122-2-1-1-2-2111111000-2-2-20011-1-1-21110000020020011100-1-1000-100
χ332222-12222-122-1-1-2-2-1-1-1-1-122-10022211-2-2-2-1-1-2-21111110002-2-200-1-1112-1-1-100000200-20011-10011000-100
χ342222-12222-122-1-1-2-2-1-1-1-1-122-10022-211-2-22-1-122-1-1-1-1-1-10002-2-200-1-111-211100000-20020011-100-1-1000100
χ352222-12222-122-1-1-2-2-1-1-1-1-122-100-2-2211-2-2-2-1-1-2-2111111000-2220011112-1-1-100000-200200-1-1100-1-1000100
χ362222-12222-122-1-1-2-2-1-1-1-1-122-100-2-2-211-2-22-1-122-1-1-1-1-1-1000-222001111-211100000200-200-1-110011000-100
χ3722-2-2222-2-22-22-2-2002-22-2-22-220000000000-22000000002-2002i−2i00000000002i−2i2i−2i002-20002i−2i00000000000
χ3822-2-2222-2-22-22-2-2002-22-2-22-220000000000-22000000002-200−2i2i0000000000−2i2i−2i2i002-2000−2i2i00000000000
χ3922-2-2222-2-22-22-2-2002-22-2-22-220000000000-2200000000-22002i−2i0000000000−2i2i−2i2i00-220002i−2i00000000000
χ4022-2-2222-2-22-22-2-2002-22-2-22-220000000000-2200000000-2200−2i2i00000000002i−2i2i−2i00-22000−2i2i00000000000
χ4122-2-222-22-22-22-2-22-22-22-22-22-2000002-22-202-20000000000000000002-200002i−2i−2i2i000000000000002i−2i0000
χ4222-2-222-22-22-22-2-22-22-22-22-22-2000002-22-202-20000000000000000002-20000−2i2i2i−2i00000000000000−2i2i0000
χ4322-2-222-22-22-22-2-2-222-22-22-22-200000-22-2202-2000000000000000000-2200002i−2i−2i2i00000000000000−2i2i0000
χ4422-2-222-22-22-22-2-2-222-22-22-22-200000-22-2202-2000000000000000000-220000−2i2i2i−2i000000000000002i−2i0000
χ4544444-2-4-4-24-2-24400-2-2-2-2-422-44400000000220000000000-4000-2-200000000000000000020000000000000
χ4644444-2-4-4-24-2-24400-2-2-2-2-422-4-4-400000000220000000000400022000000000000000000-20000000000000
χ474444-24-4-44-244-2-200-2-2-2-22-4-4200440000002200000000000-40000-2-2000000000000000000020000000000
χ484444-24-4-44-244-2-200-2-2-2-22-4-4200-4-4000000220000000000040000220000000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2411-2-2-2-21111000000000011-2-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-4112222-1-1-1-100000000001122-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4112222-1-1-1-10000000000-1-1-2-211000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-42222411-2-2-2-211110000000000-1-122-1-1000000000000000000000000
χ5344-4-44-24-4242-2-4-400-22-22-4-22400000000002-2000000004-400000000000000000000-220000000000000000
χ5444-4-44-24-4242-2-4-400-22-22-4-22400000000002-200000000-44000000000000000000002-20000000000000000
χ5544-4-44-2-44242-2-4-44-4-22-2242-2-4000004-4-220-22000000000000000000-220000000000000000000000000000
χ5644-4-44-2-44242-2-4-4-44-22-2242-2-400000-442-20-220000000000000000002-20000000000000000000000000000
χ5744-4-4-244-4-4-2-442200-22-2224-4-200000000002-20000000000004i−4i000000000000000000000−2i2i00000000000
χ5844-4-4-244-4-4-2-442200-22-2224-4-200000000002-2000000000000−4i4i0000000000000000000002i−2i00000000000
χ5944-4-4-24-44-4-2-44224-4-22-22-2-44200000-224-40-22000000000000000000-220000000000000000000000000000
χ6044-4-4-24-44-4-2-4422-44-22-22-2-442000002-2-440-220000000000000000002-20000000000000000000000000000
χ6144-4-4-2-2-442-22-2224-41-11-1-22-2200000-22-2201-100003i3i−3i−3i00000000001-1003i−3i000000000000000000000000
χ6244-4-4-2-2-442-22-2224-41-11-1-22-2200000-22-2201-10000−3i−3i3i3i00000000001-100−3i3i000000000000000000000000
χ6344-4-4-2-2-442-22-222-441-11-1-22-22000002-22-201-100003i3i−3i−3i0000000000-1100−3i3i000000000000000000000000
χ6444-4-4-2-2-442-22-222-441-11-1-22-22000002-22-201-10000−3i−3i3i3i0000000000-11003i−3i000000000000000000000000
χ654-44-44400-4-44-4-44004-4-4400004-40000000000000000000000004-400000000000000000000000000000000
χ664-44-44400-4-44-4-44004-4-440000-44000000000000000000000000-4400000000000000000000000000000000
χ674-44-44-2002-4-22-4400-222-200004-40000000000i6−i600i6−i6i6−i6000000-220000000000000000000000i6−i600000000
χ684-44-44-2002-4-22-4400-222-200004-40000000000−i6i600−i6i6−i6i6000000-220000000000000000000000−i6i600000000
χ694-44-44-2002-4-22-4400-222-20000-440000000000i6−i600i6−i6i6−i60000002-20000000000000000000000−i6i600000000
χ704-44-44-2002-4-22-4400-222-20000-440000000000−i6i600−i6i6−i6i60000002-20000000000000000000000i6−i600000000
χ714-4-4444004-4-4-44-40044-4-40000004-40000000000000000000000004-4000000000000000000000000000000
χ724-4-4444004-4-4-44-40044-4-4000000-44000000000000000000000000-44000000000000000000000000000000
χ734-4-44-240042-4-4-2200-2-2220000004-400000000006−66−6−6600000000-2200000000000000000000006−6000000
χ744-4-44-240042-4-4-2200-2-2220000004-40000000000−66−666−600000000-220000000000000000000000−66000000
χ754-4-44-240042-4-4-2200-2-222000000-4400000000006−66−6−66000000002-20000000000000000000000−66000000
χ764-4-44-240042-4-4-2200-2-222000000-440000000000−66−666−6000000002-200000000000000000000006−6000000
χ778888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-44-444002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ798-88-8-4800-848-84-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4002-2-2200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ818-88-8-4-40044-444-4002-2-220000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ828-8-888-400-4-8448-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-440022-2-200000000000000000026−26−666−60000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440022-2-2000000000000000000−26266−6−660000000000000000000000000000000000000000

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