Finite Group Databasebeta

← Group #13180506

Character table — Group #13180506

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112223344444688888899121212121212121216161818181818181824242424242424242424272736363636363636363648484848545454545472727272
order12346443366122336612122244441212121212124668888661212121212121212442222122424242412121212288886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111111-1-1-1-11111-1-111-1-11111-1-11-1-1-1-111-1-11-1-1-1-111-1-1
χ3111111111111111111111-1-111111111111-1-1-1-111-1-111-1-11111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1
χ511111-1-111111-1111111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ611111-1-111111-11111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-111
χ711111-1-111111-111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1-1-1-1-111-1111111-1-1
χ811111-1-111111-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111
χ9111-11111111-1-11111-1-1-1-11-11-11111-1-11-1-111-1-1-1-11-11-11-11-1-1-11-11-1111-1-11-11-1111-1-11-11-1
χ10111-11111111-1-11111-1-1-1-11-1-111111-1-11-1-1-1-111-1-11-1-111-1-11-1-11-1-111-1-1111-1-111-1-1111-1-11
χ11111-11111111-1-11111-1-1-1-1-111-11111-1-11-1-1-1-111-1-1-111-1-111-1-1-1-111-11-1-111-111-11-1-111-111-1
χ12111-11111111-1-11111-1-1-1-1-11-111111-1-11-1-111-1-1-1-1-11-11-11-11-1-1-11-11111-1-1-11-11111-1-1-11-11
χ13111-11-1-11111-111111-1-1-1-11-11-1-1-1-1-1-1-11-1-111-1-1111-11-11-11-111-11-11111-1-11-11-1-1-1-111-11-11
χ14111-11-1-11111-111111-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-111111-1-111-1-1111-111-11-1-1111-1-11-111-1-1-111-1
χ15111-11-1-11111-111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-11111-111-1-111-1111-1-111-1-111-111-1-111-1-11-1-11
χ16111-11-1-11111-111111-1-1-1-1-11-11-1-1-1-1-1-11-1-111-1-111-11-11-11-11111-11-1111-1-1-11-11-1-1-1111-11-1
χ172222222222222222222-2-20000222222-2-2-200002200000000-2-20000-200000000-200000000
χ1822222-2-222222-2222222-2-20000-2-2-2-222-2-2-20000-2-200000000220000-200000000200000000
χ19222-22222222-2-22222-2-22200002222-2-2-2220000-2-200000000220000-200000000-200000000
χ20222-22-2-22222-222222-2-2220000-2-2-2-2-2-2-22200002200000000-2-20000-200000000200000000
χ2122-12-1002222-10-1-1-1-1222222220000-1-12-1-1222200-1-1-1-12222000000-1-1-1-1-1-1-1-1-1000000000
χ2222-12-1002222-10-1-1-1-1222222-2-20000-1-12-1-1-2-2-2-200-1-11122-2-2000000-11111-1-111000000000
χ2322-12-1002222-10-1-1-1-12222-2-2220000-1-12-1-1-2-2-2-20011-1-1-2-222000000-1111111-1-1000000000
χ2422-12-1002222-10-1-1-1-12222-2-2-2-20000-1-12-1-12222001111-2-2-2-2000000-1-1-1-1-11111000000000
χ2522-1-2-100222210-1-1-1-1-2-2-2-22-22-200001121122-2-200-11-112-22-2000000-1-1-111-11-11000000000
χ2622-1-2-100222210-1-1-1-1-2-2-2-22-2-22000011211-2-22200-111-12-2-22000000-111-1-1-111-1000000000
χ2722-1-2-100222210-1-1-1-1-2-2-2-2-222-2000011211-2-222001-1-11-222-2000000-111-1-11-1-11000000000
χ2822-1-2-100222210-1-1-1-1-2-2-2-2-22-2200001121122-2-2001-11-1-22-22000000-1-1-1111-11-1000000000
χ292-220-22i−2i22-2-20022-2-2002-200002i2i−2i−2i0002-22−22−200000000002i−2i000002−22−200000i2−i2i2−i20000
χ302-220-22i−2i22-2-20022-2-2002-200002i2i−2i−2i0002-2−22−2200000000002i−2i00000−22−2200000−i2i2−i2i20000
χ312-220-22i−2i22-2-20022-2-200-2200002i2i−2i−2i000-222−2−220000000000−2i2i000002−2−2200000i2−i2−i2i20000
χ322-220-22i−2i22-2-20022-2-200-2200002i2i−2i−2i000-22−222−20000000000−2i2i00000−222−200000−i2i2i2−i20000
χ332-220-2−2i2i22-2-20022-2-2002-20000−2i−2i2i2i0002-22−22−20000000000−2i2i000002−22−200000−i2i2−i2i20000
χ342-220-2−2i2i22-2-20022-2-2002-20000−2i−2i2i2i0002-2−22−220000000000−2i2i00000−22−2200000i2−i2i2−i20000
χ352-220-2−2i2i22-2-20022-2-200-220000−2i−2i2i2i000-222−2−2200000000002i−2i000002−2−2200000−i2i2i2−i20000
χ362-220-2−2i2i22-2-20022-2-200-220000−2i−2i2i2i000-22−222−200000000002i−2i00000−222−200000i2−i2−i2i20000
χ3744444441-21-2441-21-21-20000221-21-21-200000001-2002200-1-10000220000000-1-10000000-1-1
χ3844444441-21-2441-21-21-20000-2-21-21-21-200000001-200-2-200110000-2-2000000011000000011
χ394444444-21-2144-21-21-21002200-21-21-210000000-212200-1-10000220000000-1-10000000-1-100
χ404444444-21-2144-21-21-2100-2-200-21-21-210000000-21-2-200110000-2-200000001100000001100
χ4144444-4-41-21-24-41-21-21-2000022-12-121-20000000-12002200-1-10000-2-20000000-1-1000000011
χ4244444-4-41-21-24-41-21-21-20000-2-2-12-121-20000000-1200-2-200110000220000000110000000-1-1
χ4344444-4-4-21-214-4-21-21-210022002-12-1-2100000002-12200-1-10000-2-20000000-1-100000001100
χ4444444-4-4-21-214-4-21-21-2100-2-2002-12-1-2100000002-1-2-200110000220000000110000000-1-100
χ45444-44441-21-2-4-41-21-2-1200002-21-21-2-120000000-12002-200-1100002-20000000-110000000-11
χ46444-44441-21-2-4-41-21-2-120000-221-21-2-120000000-1200-22001-10000-2200000001-100000001-1
χ47444-4444-21-21-4-4-21-212-1002-200-21-212-100000002-12-200-1100002-20000000-110000000-1100
χ48444-4444-21-21-4-4-21-212-100-2200-21-212-100000002-1-22001-10000-2200000001-100000001-100
χ49444-44-4-41-21-2-441-21-2-1200002-2-12-12-1200000001-2002-200-110000-220000000-1100000001-1
χ50444-44-4-41-21-2-441-21-2-120000-22-12-12-1200000001-200-22001-100002-200000001-10000000-11
χ51444-44-4-4-21-21-44-21-212-1002-2002-12-12-10000000-212-200-110000-220000000-1100000001-100
χ52444-44-4-4-21-21-44-21-212-100-22002-12-12-10000000-21-22001-100002-200000001-10000000-1100
χ5344-24-2004444-20-2-2-2-244-4-400000000-2-2-42200000000000000000000200000000000000000
χ5444-2-4-200444420-2-2-2-2-4-4440000000022-4-2-200000000000000000000200000000000000000
χ554-4-2020044-4-400-2-222004-400000000000-2222−2222−2200000000000000000−22−220000000000000
χ564-4-2020044-4-400-2-222004-400000000000-22−2222−2222000000000000000002−22−20000000000000
χ574-4-2020044-4-400-2-22200-44000000000002-222−22−222200000000000000000−222−20000000000000
χ584-4-2020044-4-400-2-22200-44000000000002-2−222222−22000000000000000002−2−220000000000000
χ5988-48-4002-42-4-40-12-122-40000440000-1200000000000-2-200-2-2000000000000011000000000
χ6088-48-4002-42-4-40-12-122-40000-4-40000-12000000000002200220000000000000-1-1000000000
χ6188-48-400-42-42-402-12-1-4200440000002-1000000000-2-200-2-200000000000001100000000000
χ6288-48-400-42-42-402-12-1-4200-4-40000002-10000000002200220000000000000-1-100000000000
χ6388-4-8-4002-42-440-12-12-2400004-400001-200000000000-2200-2200000000000001-1000000000
χ6488-4-8-4002-42-440-12-12-240000-4400001-2000000000002-2002-20000000000000-11000000000
χ6588-4-8-400-42-42402-12-14-2004-4000000-21000000000-2200-2200000000000001-100000000000
χ6688-4-8-400-42-42402-12-14-200-44000000-210000000002-2002-20000000000000-1100000000000
χ678-880-88i−8i2-4-24002-4-24000000002i−4i−2i4i0000000000000000000000000000000000000000000
χ688-880-88i−8i-424-200-424-200000000−4i2i4i−2i0000000000000000000000000000000000000000000
χ698-880-8−8i8i2-4-24002-4-2400000000−2i4i2i−4i0000000000000000000000000000000000000000000
χ708-880-8−8i8i-424-200-424-2000000004i−2i−4i2i0000000000000000000000000000000000000000000
χ7116-16-808004-8-4800-242-40000000000000000000000000000000000000000000000000000000
χ7216-16-80800-848-4004-2-420000000000000000000000000000000000000000000000000000000

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