Finite Group Databasebeta

← Group #11868767

Character table — Group #11868767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212444444441212121212121212224444888812121212121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1
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
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1
χ91111111-1-111111111-1111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-11-11111-1-1-1-111-1-111-1-1-1-11
χ101111111-1-111111111-1111-1-1-1-111111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1
χ111111111-1-111111111-1111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-111-1
χ121111111-1-111111111-1111-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-11-11-1-1-1-11111-1-111-1-111-1-11
χ131111111-1-111111111-1111-1-1-1-11111-11-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-11-111111-1-1-1-1-1-111-1-111-11-1
χ141111111-1-111111111-1111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-111-111-1-1-1-111-1-11111-1-11-11
χ151111111-1-111111111-1111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1-1-1111-11
χ161111111-1-111111111-1111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-11-11-1-1-1-1-1111111-1-111-1-1-11-1
χ17222222-222-22222222-22222222-2-2-2-200-2-2-2-222-2-2000000000000000022-2-22200000000000000000000-200
χ18222222-222-22222222-22222222-2-2-2-200-2-2-2-222-2-20000000000000000-2-222-2-200000000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-222000000000000000022-2-2-2-200000000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-2220000000000000000-2-2222200000000000000000000-200
χ2122222-122222-12-12-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-1002200222-12-1-1-1-1-1000000002200-1-100-1-10000-1-1-1-1000
χ2222222-122222-12-12-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-100-2-200-2-22-12-1-1-1-1-100000000-2-20011001100001111000
χ2322222-122222-12-12-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-100220022-21-21111100000000-2-200-1-100-1-100001111000
χ2422222-122222-12-12-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-100-2-200-2-2-21-2111110000000022001100110000-1-1-1-1000
χ2522222-12-2-222-12-12-1-1-2-1-1-1-2-2112-12-12-2-21-1-11111002200-2-22-1-21-1-111000000002-200-1-100110000-1-111000
χ2622222-12-2-222-12-12-1-1-2-1-1-1-2-2112-12-12-2-21-1-1111100-2-200222-1-21-1-11100000000-22001100-1-1000011-1-1000
χ2722222-12-2-222-12-12-1-1-2-1-1-1-2-2112-12-1-22-21-1-11111002200-2-2-212-111-1-100000000-2200-1-10011000011-1-1000
χ2822222-12-2-222-12-12-1-1-2-1-1-1-2-2112-12-1-22-21-1-1111100-2-20022-212-111-1-1000000002-2001100-1-10000-1-111000
χ292222-122222-12-12-12-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-122002200-12-12-1-1-1-10000002200-1-100-1-100-1-1-1-10000000
χ302222-122222-12-12-12-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-1-2-200-2-200-12-12-1-1-1-1000000-2-2001100110011110000000
χ312222-122222-12-12-12-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-1220022001-21-21111000000-2-200-1-100-1-10011110000000
χ322222-122222-12-12-12-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-1-2-200-2-2001-21-21111000000220011001100-1-1-1-10000000
χ332222-122-2-22-12-12-12-1-2-1-1-111-2-2-12-122-21-2-1-111112200-2-200-121-2-1-1110000002-200-1-1001100-1-1110000000
χ342222-122-2-22-12-12-12-1-2-1-1-111-2-2-12-122-21-2-1-11111-2-2002200-121-2-1-111000000-22001100-1-10011-1-10000000
χ352222-122-2-22-12-12-12-1-2-1-1-111-2-2-12-12-221-2-1-111112200-2-2001-2-1211-1-1000000-2200-1-100110011-1-10000000
χ362222-122-2-22-12-12-12-1-2-1-1-111-2-2-12-12-221-2-1-11111-2-20022001-2-1211-1-10000002-2001100-1-100-1-1110000000
χ3722-2-222200-2-2-222-2-2202-2-2000022-2-200002-200002-22-20000000000002-22-20000002-22-2000000000000000
χ3822-2-222200-2-2-222-2-2202-2-2000022-2-200002-200002-2-22000000000000-22-220000002-2-22000000000000000
χ3922-2-222200-2-2-222-2-2202-2-2000022-2-200002-20000-222-2000000000000-22-22000000-222-2000000000000000
χ4022-2-222200-2-2-222-2-2202-2-2000022-2-200002-20000-22-220000000000002-22-2000000-22-22000000000000000
χ4122-2-222-2002-2-222-2-2202-2-20000-2-2220000-22000000002i−2i2i−2i000000002-2-2200000000002i−2i2i−2i00000000000
χ4222-2-222-2002-2-222-2-2202-2-20000-2-2220000-22000000002i−2i−2i2i00000000-222-200000000002i−2i−2i2i00000000000
χ4322-2-222-2002-2-222-2-2202-2-20000-2-2220000-2200000000−2i2i2i−2i00000000-222-20000000000−2i2i2i−2i00000000000
χ4422-2-222-2002-2-222-2-2202-2-20000-2-2220000-2200000000−2i2i−2i2i000000002-2-220000000000−2i2i−2i2i00000000000
χ4544444-2-444-44-24-24-2-2-4-2-2-244-2-2-42-4200-4222-2-222000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-2-4-422-42-42004-22222-2-2000000000000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-2-4-2-2-2-2-2442-42-4002-422-2-222000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-42-400-242222-2-2000000000000000000000000000000000000000000000
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
χ514444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-2-24-42211-1-1-1-100000000-2-22211-1-100000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-2-2-442211-1-1-1-10000000022-2-2-1-11100000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2-222220022-1-111-1-10000000000003-33-300000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2-222220022-1-111-1-1000000000000-33-3300000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-1110000000000003-3-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-111000000000000-333-300000000000000000000000000000
χ5744-4-44-2400-4-424-2-42-20-22200004-2-420000-220000004-4000000000000000000000000-22000000000000000
χ5844-4-44-2400-4-424-2-42-20-22200004-2-420000-22000000-440000000000000000000000002-2000000000000000
χ5944-4-44-2-4004-424-2-42-20-2220000-424-200002-200000000004i−4i000000000000000000000000−2i2i00000000000
χ6044-4-44-2-4004-424-2-42-20-2220000-424-200002-20000000000−4i4i0000000000000000000000002i−2i00000000000
χ6144-4-4-24400-42-4-242-4-20-2220000-242-40000-2200004-4000000000000000000000000-2200000000000000000
χ6244-4-4-24400-42-4-242-4-20-2220000-242-40000-220000-440000000000000000000000002-200000000000000000
χ6344-4-4-24-40042-4-242-4-20-22200002-4-2400002-2000000004i−4i000000000000000000000000−2i2i0000000000000
χ6444-4-4-24-40042-4-242-4-20-22200002-4-2400002-200000000−4i4i0000000000000000000000002i−2i0000000000000
χ654-44-444000044-4-4-4-440-44-4000000000000000000000000000000000000004-400000000000000000000000
χ664-44-444000044-4-4-4-440-44-400000000000000000000000000000000000000-4400000000000000000000000
χ674-4-444404i−4i0-4-4-4-44440-4-444i−4i4i−4i00000000004i−4i00000000000000000000000000000000000000000000000
χ684-4-44440−4i4i0-4-4-4-44440-4-44−4i4i−4i4i0000000000−4i4i00000000000000000000000000000000000000000000000
χ694-4-444-204i−4i0-42-424-2-2022-24i−4i−2i2i0000000000−2i2i0000000000000000000000000000000000000000i6−i66−6000
χ704-4-444-204i−4i0-42-424-2-2022-24i−4i−2i2i0000000000−2i2i0000000000000000000000000000000000000000−i6i6−66000
χ714-4-444-20−4i4i0-42-424-2-2022-2−4i4i2i−2i00000000002i−2i0000000000000000000000000000000000000000i6−i6−66000
χ724-4-444-20−4i4i0-42-424-2-2022-2−4i4i2i−2i00000000002i−2i0000000000000000000000000000000000000000−i6i66−6000
χ734-4-44-2404i−4i02-42-4-24-2022-2−2i2i4i−4i0000000000−2i2i000000000000000000000000000000000000i6−i66−60000000
χ744-4-44-2404i−4i02-42-4-24-2022-2−2i2i4i−4i0000000000−2i2i000000000000000000000000000000000000−i6i6−660000000
χ754-4-44-240−4i4i02-42-4-24-2022-22i−2i−4i4i00000000002i−2i000000000000000000000000000000000000i6−i6−660000000
χ764-4-44-240−4i4i02-42-4-24-2022-22i−2i−4i4i00000000002i−2i000000000000000000000000000000000000−i6i66−60000000
χ7788-8-8-4-4800-844-4-444202-2-20000-4-44400002-20000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-800844-4-444202-2-2000044-4-40000-220000000000000000000000000000000000000000000000000
χ798-88-88-400008-4-84-84-404-44000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-480000-484-84-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40000-4-4444420-22-200000000000000006i−6i000000000000000000000000000000000000000000000
χ828-88-8-4-40000-4-4444420-22-20000000000000000−6i6i000000000000000000000000000000000000000000000
χ838-8-88-4-408i−8i04444-4-420-2-22−4i4i−4i4i00000000002i−2i00000000000000000000000000000000000000000000000
χ848-8-88-4-40−8i8i04444-4-420-2-224i−4i4i−4i0000000000−2i2i00000000000000000000000000000000000000000000000

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