Finite Group Databasebeta

← Group #11868803

Character table — Group #11868803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order12223344446666663466612121212121212124412121212121212122244444412121212121212122244446688881212121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111111-1-1
χ91111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-1111-11-111-1-1-1-111-1-111-1-1-11-1
χ101111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-111-1-111-1-11-11-111-1-1-1-1-1-111111-1-11-1-111-1-111-1-1-1-1111-11
χ111111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-1-111-1-1-111-111-1-111-1-11111-1-11-11
χ121111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-11111-1-1-1-1-11-11-1-11111-1-111-1-111-11-1
χ131111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-111-11-1111-1-1-1-1-1-111-1-111-1-11
χ141111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-111-1-111-1-1-11-11-1-111-1-1-1-11111-111-1-1-111-1-1-1-11111-1-111-1
χ151111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-111-1-111-11-11-1-111-1-1-1-111-1-11-1-1111-1-11111-1-1-1-11111-1
χ161111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-11-11-1-1-1111111-1-111-1-1-1-11
χ17222222-222-22222222-2222-222-222-2-200-2-2-2-2-2-222000000000000000022-2-2-2-200000000000000000000200
χ18222222-222-22222222-2222-222-222-2-200-2-2-2-2-2-2220000000000000000-2-2222200000000000000000000-200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2000000000000000022-2-22200000000000000000000-200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-20000000000000000-2-222-2-200000000000000000000200
χ2122222-12222-1-1222-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-12200002222-1-1-1-1-1-1000000-1-122000000-1-1-1-1-1-10000000
χ2222222-12222-1-1222-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-1-2-20000-2-222-1-1-1-1-1-100000011-2-20000001111110000000
χ2322222-12222-1-1222-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-122000022-2-2111111000000-1-1-2-2000000-1-111110000000
χ2422222-12222-1-1222-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-1-2-20000-2-2-2-2111111000000112200000011-1-1-1-10000000
χ2522222-12-2-22-1-1222-1-1-2-1-1-1-1-2-2211-122-21-2-1-11111220000-2-22-2-11-1-111000000-1-12-200000011-1-1110000000
χ2622222-12-2-22-1-1222-1-1-2-1-1-1-1-2-2211-122-21-2-1-11111-2-20000222-2-11-1-11100000011-22000000-1-111-1-10000000
χ2722222-12-2-22-1-1222-1-1-2-1-1-1-1-2-2211-12-221-2-1-11111220000-2-2-221-111-1-1000000-1-1-220000001111-1-10000000
χ2822222-12-2-22-1-1222-1-1-2-1-1-1-1-2-2211-12-221-2-1-11111-2-2000022-221-111-1-1000000112-2000000-1-1-1-1110000000
χ292222-12222222-1-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-100222200-1-122-1-1-1-1000000000022-1-1-1-1000000-1-1-1-1000
χ302222-12222222-1-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-100-2-2-2-200-1-122-1-1-1-10000000000-2-211110000001111000
χ312222-12222222-1-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10022220011-2-211110000000000-2-2-1-1-1-10000001111000
χ322222-12222222-1-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-100-2-2-2-20011-2-211110000000000221111000000-1-1-1-1000
χ332222-122-2-2222-1-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-111110022-2-200-112-2-1-11100000000002-2-1-111000000-1-111000
χ342222-122-2-2222-1-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-1111100-2-22200-112-2-1-1110000000000-2211-1-100000011-1-1000
χ352222-122-2-2222-1-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-111110022-2-2001-1-2211-1-10000000000-22-1-11100000011-1-1000
χ362222-122-2-2222-1-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-1111100-2-222001-1-2211-1-100000000002-211-1-1000000-1-111000
χ3722-2-222200-22-2-22-2-2202-2-2200200-2-200002-200002-22-20000000000002-22-2002-200002-2000000000000000
χ3822-2-222200-22-2-22-2-2202-2-2200200-2-200002-200002-2-22000000000000-22-22002-20000-22000000000000000
χ3922-2-222200-22-2-22-2-2202-2-2200200-2-200002-20000-222-2000000000000-22-2200-2200002-2000000000000000
χ4022-2-222200-22-2-22-2-2202-2-2200200-2-200002-20000-22-220000000000002-22-200-220000-22000000000000000
χ4122-2-222-20022-2-22-2-2202-2-2-200-200220000-22000000002i−2i2i−2i000000002-2-2200000000002i−2i2i−2i00000000000
χ4222-2-222-20022-2-22-2-2202-2-2-200-200220000-22000000002i−2i−2i2i00000000-222-200000000002i−2i−2i2i00000000000
χ4322-2-222-20022-2-22-2-2202-2-2-200-200220000-2200000000−2i2i2i−2i00000000-222-20000000000−2i2i2i−2i00000000000
χ4422-2-222-20022-2-22-2-2202-2-2-200-200220000-2200000000−2i2i−2i2i000000002-2-220000000000−2i2i−2i2i00000000000
χ4544444-2-444-4-2-2444-2-2-4-2-2-2244-4-2-22-4002-42222-2-2000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-4-2-2444-2-24-2-2-22-4-4-4222-400-2422-2-222000000000000000000000000000000000000000000000
χ474444-24-444-444-2-2-24-2-4-2-2-2-4-2-2244-4200-422222-2-2000000000000000000000000000000000000000000000
χ484444-24-4-4-4-444-2-2-24-24-2-2-2-4222-4-4-42004-222-2-222000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-2-2-2111100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000002222-1-1-1-100000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-24-42211-1-1-1-100000000-22-2211-1-100000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-2-442211-1-1-1-1000000002-22-2-1-11100000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-1-1-1110000000000003-33-300000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-1-1-111000000000000-33-3300000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000003-3-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-1000000000000-333-300000000000000000000000000000
χ5744-4-44-2400-4-22-44-42-20-222-2004002-40000-2200004-400000000000000000000-22000000000000000000000
χ5844-4-44-2400-4-22-44-42-20-222-2004002-40000-220000-44000000000000000000002-2000000000000000000000
χ5944-4-44-2-4004-22-44-42-20-222200-400-2400002-200000000004i−4i000000000000000000000000−2i2i00000000000
χ6044-4-44-2-4004-22-44-42-20-222200-400-2400002-20000000000−4i4i0000000000000000000000002i−2i00000000000
χ6144-4-4-24400-44-42-22-4-20-222400-200-420000-220000004-4000000000000000000000000-22000000000000000
χ6244-4-4-24400-44-42-22-4-20-222400-200-420000-22000000-440000000000000000000000002-2000000000000000
χ6344-4-4-24-40044-42-22-4-20-222-4002004-200002-2000000004i−4i000000000000000000000000−2i2i0000000000000
χ6444-4-4-24-40044-42-22-4-20-222-4002004-200002-200000000−4i4i0000000000000000000000002i−2i0000000000000
χ654-44-4440000-44-4-44-440-44-4000000000000000000000000000000000000004-400000000000000000000000
χ664-44-4440000-44-4-44-440-44-400000000000000000000000000000000000000-4400000000000000000000000
χ674-4-444404-40-4-44-4-4440-4-4404-404-400000000004-4000000000000000000000000000000000000000000000
χ684-4-44440-440-4-44-4-4440-4-440-440-440000000000-44000000000000000000000000000000000000000000000
χ694-4-444-204-40224-4-4-2-2022-204-40-220000000000-220000000000000000000000000000000000i6−i6i6−i60000000
χ704-4-444-204-40224-4-4-2-2022-204-40-220000000000-220000000000000000000000000000000000−i6i6−i6i60000000
χ714-4-444-20-440224-4-4-2-2022-20-4402-200000000002-20000000000000000000000000000000000i6−i6−i6i60000000
χ724-4-444-20-440224-4-4-2-2022-20-4402-200000000002-20000000000000000000000000000000000−i6i6i6−i60000000
χ734-4-44-2404-40-4-4-2224-2022-20-2204-40000000000-22000000000000000000000000000000000000006−66−6000
χ744-4-44-2404-40-4-4-2224-2022-20-2204-40000000000-2200000000000000000000000000000000000000−66−66000
χ754-4-44-240-440-4-4-2224-2022-202-20-4400000000002-2000000000000000000000000000000000000006−6−66000
χ764-4-44-240-440-4-4-2224-2022-202-20-4400000000002-200000000000000000000000000000000000000−666−6000
χ7788-8-8-4-4800-8-444-444202-2-2-400-4004400002-20000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-8008-444-444202-2-2400400-4-40000-220000000000000000000000000000000000000000000000000
χ798-88-88-400004-4-8-884-404-44000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-480000-8844-4-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-444-4420-22-2000000000000006-600000000000000000000000000000000000000000000000
χ828-88-8-4-400004-444-4420-22-200000000000000-6600000000000000000000000000000000000000000000000
χ838-8-88-4-408-8044-444-420-2-220-440-4400000000002-2000000000000000000000000000000000000000000000
χ848-8-88-4-40-88044-444-420-2-2204-404-40000000000-22000000000000000000000000000000000000000000000

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