Finite Group Databasebeta

← Group #11873591

Character table — Group #11873591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888899991212121212121212161616161616161618182424242424242424242424243636484848487272
order122233446666663446661212121244121212121212121212122222888888881212121212121212442222242424242424242444666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ5111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-1-11-11-11-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-11-11-1-111-1-111-1-1-11-111-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1111-1-1-1-111111-1-11-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-111-1-1-11111-1-111-111-1-11
χ13111111111111111-1-11111111-11-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-11-1111-1-111-1-1-1-1-11-11-11
χ14111111111111111-1-11111111-11-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111111-11-1-1-111-1-111-1-11-11-1-11
χ15111111111111111-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-111-1-1-1-11111-111-11-1
χ16111111111111111-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11-1-11111-1-1111-1-111-1
χ17222222-2-222222222-2222-2-2-2-20022-2-2-2-222-2-222220000000000000000-2-20000000000002-2000000
χ18222222-2-222222222-2222-2-2-2-20022-2-2-2-222-2-2-2-2-2-2000000000000000022000000000000-22000000
χ19222222-2-22222222-22222-2-2-2-200-2-222-2-2-2-22222220000000000000000-2-2000000000000-22000000
χ20222222-2-22222222-22222-2-2-2-200-2-222-2-2-2-222-2-2-2-20000000000000000220000000000002-2000000
χ2122222-1222-122-1-1-122-1-1-122-1-1222-12-1-1-1-1-1-1-10000000022222-12-1-1-1-1-10000220000-1-1-1-10000-1-100
χ2222222-1222-122-1-1-122-1-1-122-1-1222-12-1-1-1-1-1-1-100000000-2-2-2-22-12-1-1-1-1-10000-2-20000111100001100
χ2322222-1222-122-1-1-122-1-1-122-1-1-2-22-12-1-1-1-1-1-1-1000000002222-21-2111110000-2-20000-1-1-1-100001100
χ2422222-1222-122-1-1-122-1-1-122-1-1-2-22-12-1-1-1-1-1-1-100000000-2-2-2-2-21-211111000022000011110000-1-100
χ2522222-1222-122-1-1-1-2-2-1-1-122-1-12-2-21-21-1-111110000000022-2-22-1-21-1-11100002-20000-1-1110000-1100
χ2622222-1222-122-1-1-1-2-2-1-1-122-1-12-2-21-21-1-1111100000000-2-2222-1-21-1-1110000-22000011-1-100001-100
χ2722222-1222-122-1-1-1-2-2-1-1-122-1-1-22-21-21-1-111110000000022-2-2-212-111-1-10000-220000-1-11100001-100
χ2822222-1222-122-1-1-1-2-2-1-1-122-1-1-22-21-21-1-1111100000000-2-222-212-111-1-100002-2000011-1-10000-1100
χ292222-1222-12-1-122-122-1-1-1-1-12222-12-12-1-1-1-1-1-1000022220000-12-12-1-1-1-1002200-1-1-1-1000000-1-10000
χ302222-1222-12-1-122-122-1-1-1-1-12222-12-12-1-1-1-1-1-10000-2-2-2-20000-12-12-1-1-1-100-2-2001111000000110000
χ312222-1222-12-1-122-122-1-1-1-1-122-2-2-12-12-1-1-1-1-1-10000222200001-21-2111100-2-200-1-1-1-1000000110000
χ322222-1222-12-1-122-122-1-1-1-1-122-2-2-12-12-1-1-1-1-1-10000-2-2-2-200001-21-211110022001111000000-1-10000
χ332222-1222-12-1-122-1-2-2-1-1-1-1-1222-21-21-2-1-11111000022-2-20000-121-2-1-111002-200-1-111000000-110000
χ342222-1222-12-1-122-1-2-2-1-1-1-1-1222-21-21-2-1-111110000-2-2220000-121-2-1-11100-220011-1-10000001-10000
χ352222-1222-12-1-122-1-2-2-1-1-1-1-122-221-21-2-1-11111000022-2-200001-2-1211-1-100-2200-1-1110000001-10000
χ362222-1222-12-1-122-1-2-2-1-1-1-1-122-221-21-2-1-111110000-2-22200001-2-1211-1-1002-20011-1-1000000-110000
χ3722-2-2222-222-2-2-2-22002-2-22-22-20000002-2000022-2-2002i−2i002i−2i000000002-20000002i−2i002i−2i00000000
χ3822-2-2222-222-2-2-2-22002-2-22-22-20000002-2000022-2-200−2i2i00−2i2i000000002-2000000−2i2i00−2i2i00000000
χ3922-2-2222-222-2-2-2-22002-2-22-22-20000002-20000-2-222002i−2i00−2i2i00000000-220000002i−2i00−2i2i00000000
χ4022-2-2222-222-2-2-2-22002-2-22-22-20000002-20000-2-22200−2i2i002i−2i00000000-22000000−2i2i002i−2i00000000
χ4122-2-222-2222-2-2-2-22002-2-2-22-22000000-22000022-2-22i−2i002i−2i0000000000-2200002i−2i002i−2i0000000000
χ4222-2-222-2222-2-2-2-22002-2-2-22-22000000-22000022-2-2−2i2i00−2i2i0000000000-220000−2i2i00−2i2i0000000000
χ4322-2-222-2222-2-2-2-22002-2-2-22-22000000-220000-2-2222i−2i00−2i2i00000000002-200002i−2i00−2i2i0000000000
χ4422-2-222-2222-2-2-2-22002-2-2-22-22000000-220000-2-222−2i2i002i−2i00000000002-20000−2i2i002i−2i0000000000
χ4544444-2-4-44-244-2-2-24-4-2-2-2-4-422004-2-4222-2-222000000000000000000000000000000000000000000
χ4644444-2-4-44-244-2-2-2-44-2-2-2-4-42200-424-22222-2-2000000000000000000000000000000000000000000
χ474444-24-4-4-24-2-244-24-4-2-2-222-4-400-242-422-2-222000000000000000000000000000000000000000000
χ484444-24-4-4-24-2-244-2-44-2-2-222-4-4002-4-242222-2-2000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2111111000000000000-2-2-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-21111110000000000002222-1-1-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-4222211-1-1-1-1000000000000-2-22211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-1-1-1-100000000000022-2-2-1-1110000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-4111222200-2-222-1-111-1-100000000000000003-33-30000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-4111222200-2-222-1-111-1-10000000000000000-33-330000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-4411122220022-2-2-1-1-1-11100000000000000003-3-330000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-4411122220022-2-2-1-1-1-1110000000000000000-333-30000000000000000000000
χ5744-4-44-24-44-2-4-422-200-2224-4-22000000-22000000000000004i−4i00000000000000000000−2i2i00000000
χ5844-4-44-24-44-2-4-422-200-2224-4-22000000-2200000000000000−4i4i000000000000000000002i−2i00000000
χ5944-4-44-2-444-2-4-422-200-222-442-20000002-20000000000004i−4i00000000000000000000−2i2i0000000000
χ6044-4-44-2-444-2-4-422-200-222-442-20000002-2000000000000−4i4i000000000000000000002i−2i0000000000
χ6144-4-4-244-4-2422-4-4-200-222-224-4000000-2200000000004i−4i00000000000000000000−2i2i000000000000
χ6244-4-4-244-4-2422-4-4-200-222-224-4000000-220000000000−4i4i000000000000000000002i−2i000000000000
χ6344-4-4-24-44-2422-4-4-200-2222-2-440000002-2000000004i−4i00000000000000000000−2i2i00000000000000
χ6444-4-4-24-44-2422-4-4-200-2222-2-440000002-200000000−4i4i000000000000000000002i−2i00000000000000
χ654-44-44400-4-44-44-4400-44-400000000000000004-44-400000000000000000000000000000000000000
χ664-44-44400-4-44-44-4400-44-40000000000000000-44-4400000000000000000000000000000000000000
χ674-4-444400-4-4-44-44400-4-4400000000000000004-4-4400000000000000000000000000000000000000
χ684-4-444400-4-4-44-44400-4-440000000000000000-444-400000000000000000000000000000000000000
χ6988-8-8-4-48-8-4-444442002-2-2-44-440000002-20000000000000000000000000000000000000000000000
χ7088-8-8-4-4-88-4-444442002-2-24-44-4000000-220000000000000000000000000000000000000000000000
χ718-88-88-400-848-8-44-4004-440000000000000000000000000000000000000000000000000000000000
χ728-88-8-48004-8-448-8-4004-440000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-40044-44-44200-22-2000000000000006i−6i000000000000000000000000000000000000000000
χ748-88-8-4-40044-44-44200-22-200000000000000−6i6i000000000000000000000000000000000000000000
χ758-8-888-400-84-884-4-40044-40000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400444-44-4200-2-220000000000006i−6i00000000000000000000000000000000000000000000
χ788-8-88-4-400444-44-4200-2-22000000000000−6i6i00000000000000000000000000000000000000000000

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