Finite Group Databasebeta

← Group #11876893

Character table — Group #11876893

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444444888888888888121212121212121216161616161616161818181818181818242424242424242424242424484848487272
order1222334466666623466612121212246666121212121212888888886666121212124444444424442424242424242424612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111
χ7111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111
χ8111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ911111111111111-11-111111111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1
χ1011111111111111-11-111111111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-11-111-1-1-1-1111-1-11-11
χ1111111111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-11-11-1-11111-1-1-111-1-11
χ1211111111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-11-111-1
χ1311111111111111-11-11111111-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-11-11-11
χ1411111111111111-11-11111111-11-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-11-1111-1-1-1-111-111-11-1
χ1511111111111111-11-11111111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1-1-11111-1-11-1-111-1
χ1611111111111111-11-11111111-11-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-11-1-11
χ17222222-2-222222222-2222-2-2-2-2002222-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000
χ18222222-2-222222222-2222-2-2-2-2002222-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000
χ19222222-2-2222222-222222-2-2-2-200-2-2-2-222-2-222000000000000000022-2-2-2-222000000000000000000
χ20222222-2-2222222-222222-2-2-2-200-2-2-2-222-2-2220000000000000000-2-22222-2-2000000000000000000
χ2122222-1222-1-1-1222-12-1-1-1-12-12222-1-1-1-12-1-1-1-1222200002-1-1-1-12-1-1000000002002-1-1-1-10000-1-10000
χ2222222-1222-1-1-1222-12-1-1-1-12-12222-1-1-1-12-1-1-1-1-2-2-2-200002-1-1-1-12-1-100000000-200-211110000110000
χ2322222-1222-1-1-1222-12-1-1-1-12-12-2-22-1-1-1-12-1-1-1-122220000-21111-21100000000-200-2-1-1-1-10000110000
χ2422222-1222-1-1-1222-12-1-1-1-12-12-2-22-1-1-1-12-1-1-1-1-2-2-2-20000-21111-21100000000200211110000-1-10000
χ2522222-1222-1-1-122-2-1-2-1-1-1-12-122-2-21111-2-1-11122-2-200002-1-1-11-21100000000200-2-1-1110000-110000
χ2622222-1222-1-1-122-2-1-2-1-1-1-12-122-2-21111-2-1-111-2-22200002-1-1-11-21100000000-200211-1-100001-10000
χ2722222-1222-1-1-122-2-1-2-1-1-1-12-12-22-21111-2-1-11122-2-20000-2111-12-1-100000000-2002-1-11100001-10000
χ2822222-1222-1-1-122-2-1-2-1-1-1-12-12-22-21111-2-1-111-2-2220000-2111-12-1-100000000200-211-1-10000-110000
χ292222-1222-1222-1-12-12-1-1-12-12-122-12-1-12-1-1-1-1-100002222-12-1-12-1-1-10000000002200000-1-1-1-100-1-100
χ302222-1222-1222-1-12-12-1-1-12-12-122-12-1-12-1-1-1-1-10000-2-2-2-2-12-1-12-1-1-1000000000-2-2000001111001100
χ312222-1222-1222-1-12-12-1-1-12-12-1-2-2-12-1-12-1-1-1-1-1000022221-211-2111000000000-2-200000-1-1-1-1001100
χ322222-1222-1222-1-12-12-1-1-12-12-1-2-2-12-1-12-1-1-1-1-10000-2-2-2-21-211-21110000000002200000111100-1-100
χ332222-1222-1222-1-1-2-1-2-1-1-12-12-12-21-211-21-1-111000022-2-2-12-1-1-21110000000002-200000-1-11100-1100
χ342222-1222-1222-1-1-2-1-2-1-1-12-12-12-21-211-21-1-1110000-2-222-12-1-1-2111000000000-220000011-1-1001-100
χ352222-1222-1222-1-1-2-1-2-1-1-12-12-1-221-211-21-1-111000022-2-21-2112-1-1-1000000000-2200000-1-111001-100
χ362222-1222-1222-1-1-2-1-2-1-1-12-12-1-221-211-21-1-1110000-2-2221-2112-1-1-10000000002-20000011-1-100-1100
χ3722-2-2222-2-22-2-22-2020-22-22-2-22000000002-200002i−2i2-20000000000002i−2i002i−2i0000002i−2i2-200000000
χ3822-2-2222-2-22-2-22-2020-22-22-2-22000000002-200002i−2i-22000000000000−2i2i00−2i2i0000002i−2i-2200000000
χ3922-2-2222-2-22-2-22-2020-22-22-2-22000000002-20000−2i2i2-2000000000000−2i2i00−2i2i000000−2i2i2-200000000
χ4022-2-2222-2-22-2-22-2020-22-22-2-22000000002-20000−2i2i-220000000000002i−2i002i−2i000000−2i2i-2200000000
χ4122-2-222-22-22-2-22-2020-22-2-222-200000000-22002-200002i−2i00000000002i−2i00−2i2i00002-200002i−2i000000
χ4222-2-222-22-22-2-22-2020-22-2-222-200000000-22002-20000−2i2i0000000000−2i2i002i−2i00002-20000−2i2i000000
χ4322-2-222-22-22-2-22-2020-22-2-222-200000000-2200-2200002i−2i0000000000−2i2i002i−2i0000-2200002i−2i000000
χ4422-2-222-22-22-2-22-2020-22-2-222-200000000-2200-220000−2i2i00000000002i−2i00−2i2i0000-220000−2i2i000000
χ4544444-2-4-44-2-2-2444-2-4-2-2-22-42-4004-2-2-22-42222000000000000000000000000000000000000000000
χ4644444-2-4-44-2-2-244-4-24-2-2-22-42-400-4222-2422-2-2000000000000000000000000000000000000000000
χ474444-24-4-4-2444-2-24-2-4-2-2-2-42-4200-24-2-2-422222000000000000000000000000000000000000000000
χ484444-24-4-4-2444-2-2-4-24-2-2-2-42-42002-4224-222-2-2000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2414111-2-2-2-244-2-211-2-2111100000000-2-211-2-21100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414111-2-2-2-2-4-4-2-211-2-211110000000022-1-122-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-4111-2-2-2-24-422-1-12211-1-100000000-2-21122-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4111-2-2-2-2-4422-1-12211-1-10000000022-1-1-2-21100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4111222200-2-21122-1-1-1-100000000003-3003-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4111222200-2-21122-1-1-1-10000000000-3300-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-41411122220022-1-1-2-2-1-11100000000003-300-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-41411122220022-1-1-2-2-1-1110000000000-33003-300000000000000000000000000
χ5744-4-44-24-4-4-2224-40-202-22-2-42400000000-2200004i−4i00000000000000000000000000−2i2i0000000000
χ5844-4-44-24-4-4-2224-40-202-22-2-42400000000-220000−4i4i000000000000000000000000002i−2i0000000000
χ5944-4-44-2-44-4-2224-40-202-2224-2-4000000002-2004-400000000000000000000000000-22000000000000
χ6044-4-44-2-44-4-2224-40-202-2224-2-4000000002-200-44000000000000000000000000002-2000000000000
χ6144-4-4-244-424-4-4-220-202-2242-4-200000000-220000004-400000000000000000000000000-2200000000
χ6244-4-4-244-424-4-4-220-202-2242-4-200000000-22000000-44000000000000000000000000002-200000000
χ6344-4-4-24-4424-4-4-220-202-22-4-242000000002-2000000004i−4i00000000000000000000000000−2i2i000000
χ6444-4-4-24-4424-4-4-220-202-22-4-242000000002-200000000−4i4i000000000000000000000000002i−2i000000
χ654-44-44400-4-44-4-44040-4-440000000000000000000000000000000000004i−4i00000000000000000000
χ664-44-44400-4-44-4-44040-4-44000000000000000000000000000000000000−4i4i00000000000000000000
χ674-4-4444004-4-44-4-40404-4-4000000000000000000000000000000004i−4i000000000000000000000000
χ684-4-4444004-4-44-4-40404-4-400000000000000000000000000000000−4i4i000000000000000000000000
χ6988-8-8-4-48-84-444-44020-22-2-444-4000000002-200000000000000000000000000000000000000000000
χ7088-8-8-4-4-884-444-44020-22-24-4-4400000000-2200000000000000000000000000000000000000000000
χ718-88-88-400-84-44-880-4044-40000000000000000000000000000000000000000000000000000000000
χ728-88-8-48004-88-84-40-4044-40000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-40044-444-4020-2-22000000006-6000000000000000000000000000000000000000000000000
χ748-88-8-4-40044-444-4020-2-2200000000-66000000000000000000000000000000000000000000000000
χ758-8-888-400844-4-8-80-40-4440000000000000000000000000000000000000000000000000000000000
χ768-8-88-4800-4-8-88440-40-4440000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-444-4440202-2-2000000000000006i−6i000000000000000000000000000000000000000000
χ788-8-88-4-400-444-4440202-2-200000000000000−6i6i000000000000000000000000000000000000000000

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