Finite Group Databasebeta

← Group #11866197

Character table — Group #11866197

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666223666121212124666681212242424242424242444444444888812121212661212121222442212121212121224242424226628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1111-1-111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002-2002-20000222200000022-2-200-2-200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-200000000002-200-22000022-2-2000000-2-22200-2200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-22002-20000-2-222000000-2-222002-200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-2200-220000-2-2-2-200000022-2-2002200000000000000
χ2122222-12222-1-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-100002222002200-1-1-1-12-1-1-10000020-100-1-100-1-1000-100
χ2222222-12222-1-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-10000-2-2-2-200-2-20011-1-12-1-1-100000-20100110011000100
χ2322222-12222-1-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110000222200-2-200-1-1-1-1-211100000-20-100-1-10011000100
χ2422222-12222-1-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110000-2-2-2-200220011-1-1-211100000201001100-1-1000-100
χ2522222-12222-1-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-2111111000022-2-200220011112-1-1-100000-20100-1-100-1-1000100
χ2622222-12222-1-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-21111110000-2-22200-2-200-1-1112-1-1-10000020-100110011000-100
χ2722222-12222-1-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-1000022-2-200-2-2001111-21110000020100-1-10011000-100
χ2822222-12222-1-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-10000-2-222002200-1-111-211100000-20-1001100-1-1000100
χ292222-1222-1-122-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1222200002200-1-100-1-1-12-1-1000020-10-1-100-1-10000-1000
χ302222-1222-1-122-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001100-1-1-12-1-10000-201011001100001000
χ312222-1222-1-122-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-2111122220000-2-200-1-100-1-11-2110000-20-10-1-1001100001000
χ322222-1222-1-122-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-21111-2-2-2-2000022001100-1-11-211000020101100-1-10000-1000
χ332222-1222-1-122-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-2111122-2-200002200110011-12-1-10000-2010-1-100-1-100001000
χ342222-1222-1-122-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111-2-2220000-2-200-1-10011-12-1-1000020-101100110000-1000
χ352222-1222-1-122-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-122-2-20000-2-2001100111-21100002010-1-100110000-1000
χ362222-1222-1-122-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1-2-22200002200-1-100111-2110000-20-101100-1-100001000
χ3722-2-2222-22-22-2-2-2002-2-2222-2-20000002-2000000002i−2i002i−2i00000000000000002-22-200002i−2i2i−2i0000000000
χ3822-2-2222-22-22-2-2-2002-2-2222-2-20000002-2000000002i−2i00−2i2i0000000000000000-22-2200002i−2i−2i2i0000000000
χ3922-2-2222-22-22-2-2-2002-2-2222-2-20000002-200000000−2i2i002i−2i0000000000000000-22-220000−2i2i2i−2i0000000000
χ4022-2-2222-22-22-2-2-2002-2-2222-2-20000002-200000000−2i2i00−2i2i00000000000000002-22-20000−2i2i−2i2i0000000000
χ4122-2-222-222-22-2-2-22-22-2-22-2-22202-22-20-220000000000000000000000002-200002-2-220000000000002-20000
χ4222-2-222-222-22-2-2-22-22-2-22-2-22202-22-20-220000000000000000000000002-20000-222-2000000000000-220000
χ4322-2-222-222-22-2-2-2-222-2-22-2-2220-22-220-22000000000000000000000000-2200002-2-22000000000000-220000
χ4422-2-222-222-22-2-2-2-222-2-22-2-2220-22-220-22000000000000000000000000-220000-222-20000000000002-20000
χ4544444-2-4-444-2-24-200-2-2-2-2-42-4200000022000000000000004-4000000-2-20000000000000200000000000000
χ4644444-2-4-444-2-24-200-2-2-2-2-42-420000002200000000000000-44000000220000000000000-200000000000000
χ474444-24-4-4-2-244-2400-2-2-2-22-42-40000002200000000004-400000000-2-2000000000000002000000000000000
χ484444-24-4-4-2-244-2400-2-2-2-22-42-4000000220000000000-44000000002200000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-21111000000000000000011-2-2110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000001122-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-1-1-2-2110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-211110000000000000000-1-122-1-10000000000000000000000
χ5344-4-44-24-44-4-22-4200-222-24-2-42000000-220000000000004i−4i00000000000000000000000000−2i2i0000000000
χ5444-4-44-24-44-4-22-4200-222-24-2-42000000-22000000000000−4i4i000000000000000000000000002i−2i0000000000
χ5544-4-44-2-444-4-22-424-4-222-2-424-204-4-2202-2000000000000000000000000-2200000000000000000000000000
χ5644-4-44-2-444-4-22-42-44-222-2-424-20-442-202-20000000000000000000000002-200000000000000000000000000
χ5744-4-4-244-4-224-42-400-222-2-242-4000000-22000000004i−4i0000000000000000000000000000−2i2i000000000000
χ5844-4-4-244-4-224-42-400-222-2-242-4000000-2200000000−4i4i00000000000000000000000000002i−2i000000000000
χ5944-4-4-24-44-224-42-44-4-222-22-4-240-224-402-2000000000000000000000000-2200000000000000000000000000
χ6044-4-4-24-44-224-42-4-44-222-22-4-2402-2-4402-20000000000000000000000002-200000000000000000000000000
χ6144-4-4-2-2-44-22-22224-41-1-1122-2-20-22-220-11000033-3-300000000000000001-1003-30000000000000000000000
χ6244-4-4-2-2-44-22-22224-41-1-1122-2-20-22-220-110000-3-33300000000000000001-100-330000000000000000000000
χ6344-4-4-2-2-44-22-2222-441-1-1122-2-202-22-20-11000033-3-30000000000000000-1100-330000000000000000000000
χ6444-4-4-2-2-44-22-2222-441-1-1122-2-202-22-20-110000-3-3330000000000000000-11003-30000000000000000000000
χ654-44-44400-44-4-4-440044-4-4000000000000000000000000000022−2200000000000000000000000022−2200000000
χ664-44-44400-44-4-4-440044-4-40000000000000000000000000000−2222000000000000000000000000−222200000000
χ674-44-4-24002-2-4-42400-2-2220000000000006−6006−66−60000000022−220023−2300000000000000000000−2200000000
χ684-44-4-24002-2-4-42400-2-2220000000000006−6006−66−600000000−222200−2323000000000000000000002−200000000
χ694-44-4-24002-2-4-42400-2-222000000000000−6600−66−660000000022−2200−232300000000000000000000−2200000000
χ704-44-4-24002-2-4-42400-2-222000000000000−6600−66−6600000000−22220023−23000000000000000000002−200000000
χ714-4-444400-4-4-444-4004-44-400000000000000000000000000000022−2200000000000000000000000022−22000000
χ724-4-444400-4-4-444-4004-44-4000000000000000000000000000000−2222000000000000000000000000−2222000000
χ734-4-444-200-4-42-24200-22-22000000000000006−66−6−66000000000022−220023−2300000000000000000000−22000000
χ744-4-444-200-4-42-24200-22-22000000000000006−66−6−660000000000−222200−2323000000000000000000002−2000000
χ754-4-444-200-4-42-24200-22-2200000000000000−66−666−6000000000022−2200−232300000000000000000000−22000000
χ764-4-444-200-4-42-24200-22-2200000000000000−66−666−60000000000−22220023−23000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-8-44-4444002-2-22-4-4440000002-20000000000000000000000000000000000000000000000000000
χ798-88-88-400-8844-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-4444-40022-2-200000000000026−2600−66−6600000000000000000000000000000000000000000000
χ818-88-8-4-4004-4444-40022-2-2000000000000−2626006−66−600000000000000000000000000000000000000000000
χ828-8-88-480044-88-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44002-22-20000000000000026−26−666−600000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44002-22-200000000000000−26266−6−6600000000000000000000000000000000000000000000

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