Finite Group Databasebeta

← Group #11865866

Character table — Group #11865866

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666662236661212121244444666681212242424242424242444444412121212661212121222442488121212121212242424242261228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-11111-111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-11-111
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
χ8111111111111111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11
χ1111111111111111-1-11111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-111-1-111111-1-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-111-1
χ1311111111111111-1-111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-111-1-111-11-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-22222000000-2-200000000-2-20000222200000022-2-20000-2-200000000000000
χ18222222-2-2222222002222-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-2220000-2200000000000000
χ19222222-2-2222222002222-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-22200002-200000000000000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-200000022-2-200002200000000000000
χ2122222-1222-1-122-122-1-1-1-1-12-122200222-1-12-1-122-1-1-1-1-1-1202200-1-100-1-1-12-1-100002020-10-1-100-1-10000-1000
χ2222222-1222-1-122-122-1-1-1-1-12-122200-222-1-1-2-1-1-2-2111111202200-1-100-1-11-2110000-20-20-10-1-1001100001000
χ2322222-1222-1-122-122-1-1-1-1-12-12-2-200222-1-12-1-122-1-1-1-1-1-1-20-2-2001100-1-1-12-1-10000-20-201011001100001000
χ2422222-1222-1-122-122-1-1-1-1-12-12-2-200-222-1-1-2-1-1-2-2111111-20-2-2001100-1-11-21100002020101100-1-10000-1000
χ2522222-1222-1-122-1-2-2-1-1-1-1-12-1222002-2-211-2-1-1-2-211111120-2-200-1-10011-12-1-1000020-20-101100110000-1000
χ2622222-1222-1-122-1-2-2-1-1-1-1-12-122200-2-2-2112-1-122-1-1-1-1-1-120-2-200-1-100111-2110000-2020-101100-1-100001000
χ2722222-1222-1-122-1-2-2-1-1-1-1-12-12-2-2002-2-211-2-1-1-2-2111111-202200110011-12-1-10000-202010-1-100-1-100001000
χ2822222-1222-1-122-1-2-2-1-1-1-1-12-12-2-200-2-2-2112-1-122-1-1-1-1-1-1-2022001100111-211000020-2010-1-100110000-1000
χ292222-1222-122-1-1222-1-1-1-12-12-100222-1-1222-1-1-1-122-1-1-1-102002200-1-1-1-12-1-1-1000002020-100-1-100-1-1000-100
χ302222-1222-122-1-1222-1-1-1-12-12-10022-2-1-122-2-1-111-2-2111102002200-1-1-1-1-211100000-20-20-100-1-10011000100
χ312222-1222-122-1-1222-1-1-1-12-12-100-2-22-1-1222-1-1-1-122-1-1-1-10-200-2-20011-1-12-1-1-100000-20-20100110011000100
χ322222-1222-122-1-1222-1-1-1-12-12-100-2-2-2-1-122-2-1-111-2-211110-200-2-20011-1-1-21110000020201001100-1-1000-100
χ332222-1222-122-1-12-2-2-1-1-1-12-12-10022211-2-2-2-1-111-2-211110200-2-200-1-1112-1-1-10000020-20-100110011000-100
χ342222-1222-122-1-12-2-2-1-1-1-12-12-10022-211-2-22-1-1-1-122-1-1-1-10200-2-200-1-111-211100000-2020-1001100-1-1000100
χ352222-1222-122-1-12-2-2-1-1-1-12-12-100-2-2211-2-2-2-1-111-2-211110-200220011112-1-1-100000-2020100-1-100-1-1000100
χ362222-1222-122-1-12-2-2-1-1-1-12-12-100-2-2-211-2-22-1-1-1-122-1-1-1-10-20022001111-21110000020-20100-1-10011000-100
χ372-22-2222-2-22-22-2-2002-2-2222-2-200000000002-200000000002i−2i2i−2i00000000002-22-20000002i−2i2i−2i0000000000
χ382-22-2222-2-22-22-2-2002-2-2222-2-200000000002-200000000002i−2i−2i2i0000000000-22-220000002i−2i−2i2i0000000000
χ392-22-2222-2-22-22-2-2002-2-2222-2-200000000002-20000000000−2i2i2i−2i0000000000-22-22000000−2i2i2i−2i0000000000
χ402-22-2222-2-22-22-2-2002-2-2222-2-200000000002-20000000000−2i2i−2i2i00000000002-22-2000000−2i2i−2i2i0000000000
χ412-22-222-22-22-22-2-22-22-2-22-2-222000002-22-20-220000000000000000002-200002-2-22000000000000002-20000
χ422-22-222-22-22-22-2-22-22-2-22-2-222000002-22-20-220000000000000000002-20000-222-200000000000000-220000
χ432-22-222-22-22-22-2-2-222-2-22-2-22200000-22-220-22000000000000000000-2200002-2-2200000000000000-220000
χ442-22-222-22-22-22-2-2-222-2-22-2-22200000-22-220-22000000000000000000-220000-222-2000000000000002-20000
χ4544444-2-4-44-2-244-200-2-2-2-22-42-444000000002200000000-400000-2-200000000000000002000000000000000
χ4644444-2-4-44-2-244-200-2-2-2-22-42-4-4-4000000002200000000400000220000000000000000-2000000000000000
χ474444-24-4-4-244-2-2400-2-2-2-2-42-42004400000022000000000-4000000-2-2000000000000000200000000000000
χ484444-24-4-4-244-2-2400-2-2-2-2-42-4200-4-400000022000000000400000022000000000000000-200000000000000
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
χ5344-4-444004-44-4-4-40044-4-400004i−4i0000000000000000000000004i−4i00000000000000000000000000000000
χ5444-4-444004-44-4-4-40044-4-40000−4i4i000000000000000000000000−4i4i00000000000000000000000000000000
χ5544-4-44-20042-2-4-4200-2-22200004i−4i0000000000006−666−6−6000000−2i2i0000000000000000000000i6−i600000000
χ5644-4-44-20042-2-4-4200-2-22200004i−4i000000000000−66−6−666000000−2i2i0000000000000000000000−i6i600000000
χ5744-4-44-20042-2-4-4200-2-2220000−4i4i0000000000006−666−6−60000002i−2i0000000000000000000000−i6i600000000
χ5844-4-44-20042-2-4-4200-2-2220000−4i4i000000000000−66−6−6660000002i−2i0000000000000000000000i6−i600000000
χ594-44-44-24-4-4-224-4200-222-2-242-40000000000-2200000000004i−4i0000000000000000000000−2i2i000000000000
χ604-44-44-24-4-4-224-4200-222-2-242-40000000000-220000000000−4i4i00000000000000000000002i−2i000000000000
χ614-44-44-2-44-4-224-424-4-222-22-4-24000004-4-2202-2000000000000000000-220000000000000000000000000000
χ624-44-44-2-44-4-224-42-44-222-22-4-2400000-442-202-20000000000000000002-20000000000000000000000000000
χ634-44-4-244-424-4-22-400-222-24-2-420000000000-220000000000004i−4i0000000000000000000000−2i2i0000000000
χ644-44-4-244-424-4-22-400-222-24-2-420000000000-22000000000000−4i4i00000000000000000000002i−2i0000000000
χ654-44-4-24-4424-4-22-44-4-222-2-424-200000-224-402-2000000000000000000-220000000000000000000000000000
χ664-44-4-24-4424-4-22-4-44-222-2-424-2000002-2-4402-20000000000000000002-20000000000000000000000000000
χ674-44-4-2-2-442-22-2224-41-1-1122-2-200000-22-220-1100003-33-300000000001-1003-3000000000000000000000000
χ684-44-4-2-2-442-22-2224-41-1-1122-2-200000-22-220-110000-33-3300000000001-100-33000000000000000000000000
χ694-44-4-2-2-442-22-222-441-1-1122-2-2000002-22-20-1100003-33-30000000000-1100-33000000000000000000000000
χ704-44-4-2-2-442-22-222-441-1-1122-2-2000002-22-20-110000-33-330000000000-11003-3000000000000000000000000
χ714-4-444400-4-4-4-444004-44-40000004-40000000000000000000000004-4000000000000000000000000000000
χ724-4-444400-4-4-4-444004-44-4000000-44000000000000000000000000-44000000000000000000000000000000
χ734-4-44-24002-4-42-2400-22-220000004-4000000006−6006−6−6600000000-2200000000000000000000006−6000000
χ744-4-44-24002-4-42-2400-22-220000004-400000000−6600−666−600000000-220000000000000000000000−66000000
χ754-4-44-24002-4-42-2400-22-22000000-44000000006−6006−6−66000000002-20000000000000000000000−66000000
χ764-4-44-24002-4-42-2400-22-22000000-4400000000−6600−666−6000000002-200000000000000000000006−6000000
χ778888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-8844-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-200000000000000000026−26−6−6660000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440022-2-2000000000000000000−262666−6−60000000000000000000000000000000000000000
χ818-88-8-4-48-84-44-444002-2-22-4-44400000000002-2000000000000000000000000000000000000000000000000
χ828-8-888-400-844-88-400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4002-22-2000000000000000026−2600−666−60000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4002-22-20000000000000000−2626006−6−660000000000000000000000000000000000000000

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