Finite Group Databasebeta

← Group #11790591

Character table — Group #11790591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111144444444444444444444448888888888888888888888889999999936363636363636363636363636363636363636363636
order12222222222233446666666666666666666666666666661212121212121212444444444444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111
χ71111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ81111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ911111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1011111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1111111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1211111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1311111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1411111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1511111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ1611111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ17222-2-22-2-2002-222002222-2-2-2-2-2-2-2-222000000002222-2-2-2-2000000002i−2i2i2i−2i−2i2i−2i00002i−2i0000000000000000
χ18222-2-22-2-2002-222002222-2-2-2-2-2-2-2-222000000002222-2-2-2-200000000−2i2i−2i−2i2i2i−2i2i0000−2i2i0000000000000000
χ19222-2-22-2-200-2222002222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000002i−2i2i2i−2i−2i2i−2i0000−2i2i0000000000000000
χ20222-2-22-2-200-2222002222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000−2i2i−2i−2i2i2i−2i2i00002i−2i0000000000000000
χ2122-22-2-22-20000220022-2-22222-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i−2i2i000000000000002ζ−2ζ002ζ3−2ζ300
χ2222-22-2-22-20000220022-2-22222-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i−2i2i00000000000000−2ζ2ζ00−2ζ32ζ300
χ2322-22-2-22-20000220022-2-22222-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i2i−2i000000000000002ζ3−2ζ3002ζ−2ζ00
χ2422-22-2-22-20000220022-2-22222-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i2i−2i00000000000000−2ζ32ζ300−2ζ2ζ00
χ2522-2-22-2-220000220022-2-2-2-2-2-22222-2-2000000000000000000000000222-2-22-2-2000000002i−2i002i−2i00000000
χ2622-2-22-2-220000220022-2-2-2-2-2-22222-2-2000000000000000000000000222-2-22-2-200000000−2i2i00−2i2i00000000
χ2722-2-22-2-220000220022-2-2-2-2-2-22222-2-2000000000000000000000000-2-2-222-222000000002-200-2200000000
χ2822-2-22-2-220000220022-2-2-2-2-2-22222-2-2000000000000000000000000-2-2-222-22200000000-22002-200000000
χ292-222-2-2-2200002200-2-22222-2-222-2-2-2-200000000000000000000000022-222-2-2-20000002i−2i002i−2i0000000000
χ302-222-2-2-2200002200-2-22222-2-222-2-2-2-200000000000000000000000022-222-2-2-2000000−2i2i00−2i2i0000000000
χ312-222-2-2-2200002200-2-22222-2-222-2-2-2-2000000000000000000000000-2-22-2-22220000002-200-220000000000
χ322-222-2-2-2200002200-2-22222-2-222-2-2-2-2000000000000000000000000-2-22-2-2222000000-22002-20000000000
χ332-22-22-22-200002200-2-222-2-222-2-222-2-20000000000000000000000002i−2i−2i2i−2i2i−2i2i00000000000000002ζ3−2ζ3002ζ−2ζ
χ342-22-22-22-200002200-2-222-2-222-2-222-2-20000000000000000000000002i−2i−2i2i−2i2i−2i2i0000000000000000−2ζ32ζ300−2ζ2ζ
χ352-22-22-22-200002200-2-222-2-222-2-222-2-2000000000000000000000000−2i2i2i−2i2i−2i2i−2i00000000000000002ζ−2ζ002ζ3−2ζ3
χ362-22-22-22-200002200-2-222-2-222-2-222-2-2000000000000000000000000−2i2i2i−2i2i−2i2i−2i0000000000000000−2ζ2ζ00−2ζ32ζ3
χ372-2-2222-2-22-2002200-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000002i−2i−2i−2i2i2i2i−2i002i−2i000000000000000000
χ382-2-2222-2-22-2002200-2-2-2-222-2-2-2-222222222-2-2-2-20000000000000000−2i2i2i2i−2i−2i−2i2i00−2i2i000000000000000000
χ392-2-2222-2-2-22002200-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000002i−2i−2i−2i2i2i2i−2i00−2i2i000000000000000000
χ402-2-2222-2-2-22002200-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000−2i2i2i2i−2i−2i−2i2i002i−2i000000000000000000
χ412-2-2-2-22220000222-2-2-2-2-2-2-22222-2-22200000000000000002222-2-2-2-222-2-2-2-2222-200000000000000000000
χ422-2-2-2-22220000222-2-2-2-2-2-2-22222-2-22200000000000000002222-2-2-2-2-2-22222-2-2-2200000000000000000000
χ432-2-2-2-2222000022-22-2-2-2-2-2-22222-2-2220000000000000000-2-2-2-2222222-2-2-2-222-2200000000000000000000
χ442-2-2-2-2222000022-22-2-2-2-2-2-22222-2-2220000000000000000-2-2-2-22222-2-22222-2-22-200000000000000000000
χ454444444444441-2441-21-21-21-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000000000000000
χ46444444444444-2144-21-21-21-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000000000000000
χ474444444444-4-41-2-4-41-21-21-21-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000000000000000
χ484444444444-4-4-21-4-4-21-21-21-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000000000000000
χ4944444444-4-4441-2-4-41-21-21-21-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-122000000000000000000000000000000
χ5044444444-4-444-21-4-4-21-21-21-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-1000000000000000000000000000000
χ5144444444-4-4-4-41-2441-21-21-21-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-2000000000000000000000000000000
χ5244444444-4-4-4-4-2144-21-21-21-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-211000000000000000000000000000000
χ53444-4-44-4-4004-41-2001-21-2-12-12-12-121-23-3003-30011-2-2-1-1223-3003-300000000000000000000000000000000
χ54444-4-44-4-4004-41-2001-21-2-12-12-12-121-2-3300-330011-2-2-1-122-3300-3300000000000000000000000000000000
χ55444-4-44-4-4004-4-2100-21-212-12-12-12-1-21003-3003-3-2-21122-1-1003-3003-3000000000000000000000000000000
χ56444-4-44-4-4004-4-2100-21-212-12-12-12-1-2100-3300-33-2-21122-1-100-3300-33000000000000000000000000000000
χ57444-4-44-4-400-441-2001-21-2-12-12-12-121-23-3003-300-1-12211-2-2-3300-3300000000000000000000000000000000
χ58444-4-44-4-400-441-2001-21-2-12-12-12-121-2-3300-3300-1-12211-2-23-3003-300000000000000000000000000000000
χ59444-4-44-4-400-44-2100-21-212-12-12-12-1-21003-3003-322-1-1-2-21100-3300-33000000000000000000000000000000
χ60444-4-44-4-400-44-2100-21-212-12-12-12-1-2100-3300-3322-1-1-2-211003-3003-3000000000000000000000000000000
χ614-4-4444-4-44-4001-200-12-121-2-12-121-21-211-2-2-1-1223-3003-3003-300-3300000000000000000000000000000000
χ624-4-4444-4-44-4001-200-12-121-2-12-121-21-211-2-2-1-122-3300-3300-33003-300000000000000000000000000000000
χ634-4-4444-4-44-400-21002-12-1-212-12-1-21-21-2-21122-1-1003-3003-3003-300-33000000000000000000000000000000
χ644-4-4444-4-44-400-21002-12-1-212-12-1-21-21-2-21122-1-100-3300-3300-33003-3000000000000000000000000000000
χ654-4-4444-4-4-44001-200-12-121-2-12-121-21-2-1-12211-2-23-3003-300-33003-300000000000000000000000000000000
χ664-4-4444-4-4-44001-200-12-121-2-12-121-21-2-1-12211-2-2-3300-33003-300-3300000000000000000000000000000000
χ674-4-4444-4-4-4400-21002-12-1-212-12-1-21-2122-1-1-2-211003-3003-300-33003-3000000000000000000000000000000
χ684-4-4444-4-4-4400-21002-12-1-212-12-1-21-2122-1-1-2-21100-3300-33003-300-33000000000000000000000000000000
χ694-4-4-4-444400001-24-4-12-12-121-21-2-121-23-300-33003-300-330011-2-2-1-122000000000000000000000000000000
χ704-4-4-4-444400001-24-4-12-12-121-21-2-121-2-33003-300-33003-30011-2-2-1-122000000000000000000000000000000
χ714-4-4-4-444400001-2-44-12-12-121-21-2-121-23-300-3300-33003-300-1-12211-2-2000000000000000000000000000000
χ724-4-4-4-444400001-2-44-12-12-121-21-2-121-2-33003-3003-300-3300-1-12211-2-2000000000000000000000000000000
χ734-4-4-4-44440000-214-42-12-12-1-21-212-1-21003-300-33003-300-33-2-21122-1-1000000000000000000000000000000
χ744-4-4-4-44440000-214-42-12-12-1-21-212-1-2100-33003-300-33003-3-2-21122-1-1000000000000000000000000000000
χ754-4-4-4-44440000-21-442-12-12-1-21-212-1-21003-300-3300-33003-322-1-1-2-211000000000000000000000000000000
χ764-4-4-4-44440000-21-442-12-12-1-21-212-1-2100-33003-3003-300-3322-1-1-2-211000000000000000000000000000000
χ7788-88-8-88-800002-4002-4-242-42-4-24-24-24000000000000000000000000000000000000000000000000000000
χ7888-88-8-88-80000-4200-424-2-42-424-24-24-2000000000000000000000000000000000000000000000000000000
χ7988-8-88-8-8800002-4002-4-24-24-242-42-4-24000000000000000000000000000000000000000000000000000000
χ8088-8-88-8-880000-4200-424-24-24-2-42-424-2000000000000000000000000000000000000000000000000000000
χ818-888-8-8-8800002-400-242-42-4-242-4-24-24000000000000000000000000000000000000000000000000000000
χ828-888-8-8-880000-42004-2-42-424-2-424-24-2000000000000000000000000000000000000000000000000000000
χ838-88-88-88-800002-400-242-4-242-4-242-4-24000000000000000000000000000000000000000000000000000000
χ848-88-88-88-80000-42004-2-424-2-424-2-424-2000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.