Finite Group Databasebeta

← Group #11819115

Character table — Group #11819115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order122244334466666612121212222222444444121212124444444444661212121212124444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111-1-11111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ611111111-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ711111111-1-111111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ811111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111111111-1-1-1-11-11-1-1-111111-11-11111-1-1-1-11-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-1111111-1-1-1-1111-11-1-1-1-1-1-1-11-1-1111-1-1-1-1111-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-11111-1-11111-1-11-11-1-1-1-1-1-1-1-111-1-1-11111-1-11-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-11111-1-1-1-111111-11-1-1-11111-11-11-1-1-1-111111-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-111111111-1-1-1-1-11-11-1-11111-11-111111-1-1-1-1-11-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-1111111-1-1-1-111-11-11-1-1-1-1-1-1-111-111-1-1-1-111-111111-1-1-111-1
χ151111-1-111-11111111-1-1-1-11111-1-11111-1-1-11-11-1-1-1-1-1-11-1-11-1-11111-1-1-111111-1-11-1-11
χ161111-1-111-11111111-1-1-1-11111-1-1-1-11111-11-11-1-111111-11-1-1-1-1-11111-11-1-1-1-1111-11-1
χ1722222222222222222222-2-2-2-2000000002222-2-20000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000220000000000
χ192222-2-2222-2222222-2-2-2-2-2-2-2-2000000002-22-2220000000000000000-220000000000
χ202222-2-222-22222222-2-2-2-2-2-2-2-200000000-22-222200000000000000002-20000000000
χ2122-2-20022002-2-22-2-2000022-2-22-22-2000000000022-2-200002-22-20000000000000000
χ2222-2-20022002-2-22-2-2000022-2-22-2-220000000000-2-22200002-2-220000000000000000
χ2322-2-20022002-2-22-2-2000022-2-2-222-20000000000-2-2220000-222-20000000000000000
χ2422-2-20022002-2-22-2-2000022-2-2-22-22000000000022-2-20000-22-220000000000000000
χ252-22-22-22200-22-2-22-22-22-22-2-220000000000002-22i−2i2i−2i000000000000002i−2i00000000
χ262-22-22-22200-22-2-22-22-22-22-2-220000000000002-2−2i2i−2i2i00000000000000−2i2i00000000
χ272-22-22-22200-22-2-22-22-22-2-222-2000000000000-22000000000000000000002i−2i2i−2i0000
χ282-22-22-22200-22-2-22-22-22-2-222-2000000000000-2200000000000000000000−2i2i−2i2i0000
χ292-22-2-222200-22-2-22-2-22-222-2-22000000000000-222i−2i2i−2i00000000000000−2i2i00000000
χ302-22-2-222200-22-2-22-2-22-222-2-22000000000000-22−2i2i−2i2i000000000000002i−2i00000000
χ312-22-2-222200-22-2-22-2-22-22-222-20000000000002-2000000000000000000002i−2i−2i2i0000
χ322-22-2-222200-22-2-22-2-22-22-222-20000000000002-200000000000000000000−2i2i2i−2i0000
χ332-2-22002200-2-22-2-2200002-22-200002i−2i2-20000002i−2i−2i2i000000002i−2i2-2000000000000
χ342-2-22002200-2-22-2-2200002-22-200002i−2i-22000000−2i2i2i−2i000000002i−2i-22000000000000
χ352-2-22002200-2-22-2-2200002-22-20000−2i2i2-2000000−2i2i2i−2i00000000−2i2i2-2000000000000
χ362-2-22002200-2-22-2-2200002-22-20000−2i2i-220000002i−2i−2i2i00000000−2i2i-22000000000000
χ374444441-244-21-21-2111-2-2000000220022-2-211000000002200-1-100-1-10000000000-1-1
χ384444441-244-21-21-2111-2-2000000-2-200-2-2-2-21100000000-2-200110011000000000011
χ394444441-2-4-4-21-21-2111-2-200000022002222-1-100000000-2-200-1-100-1-1000000000011
χ404444441-2-4-4-21-21-2111-2-2000000-2-200-2-222-1-10000000022001100110000000000-1-1
χ41444444-21441-21-21-2-2-21100002200220011-2-20000002200-1-100-1-10000000000-1-100
χ42444444-21441-21-21-2-2-2110000-2-200-2-20011-2-2000000-2-20011001100000000001100
χ43444444-21-4-41-21-21-2-2-211000022002200-1-122000000-2-200-1-100-1-100000000001100
χ44444444-21-4-41-21-21-2-2-2110000-2-200-2-200-1-12200000022001100110000000000-1-100
χ454444-4-41-24-4-21-21-21-1-1220000002200-2-2-221-1000000002-200-1-100110000000000-11
χ464444-4-41-24-4-21-21-21-1-122000000-2-20022-221-100000000-22001100-1-100000000001-1
χ474444-4-41-2-44-21-21-21-1-1220000002200-2-22-2-1100000000-2200-1-1001100000000001-1
χ484444-4-41-2-44-21-21-21-1-122000000-2-200222-2-11000000002-2001100-1-10000000000-11
χ494444-4-4-214-41-21-21-222-1-100002200-2-2001-1-220000002-200-1-100110000000000-1100
χ504444-4-4-214-41-21-21-222-1-10000-2-20022001-1-22000000-22001100-1-100000000001-100
χ514444-4-4-21-441-21-21-222-1-100002200-2-200-112-2000000-2200-1-1001100000000001-100
χ524444-4-4-21-441-21-21-222-1-10000-2-2002200-112-20000002-2001100-1-10000000000-1100
χ5344-4-40044004-4-44-4-40000-4-444000000000000000000000000000000000000000000
χ544-4-44004400-4-44-4-440000-44-44000000000000000000000000000000000000000000
χ5588-8-8002-400-4-2424-200000000004-400000000000000000000-220000000000000000
χ5688-8-8002-400-4-2424-20000000000-44000000000000000000002-20000000000000000
χ5788-8-800-420024-2-4-24000000004-400000000000000000000-22000000000000000000
χ5888-8-800-420024-2-4-2400000000-44000000000000000000002-2000000000000000000
χ598-88-88-82-400424-2-4-22-2-440000000000000000000000000000000000000000000000
χ608-88-88-8-4200-2-4-2424-442-20000000000000000000000000000000000000000000000
χ618-88-8-882-400424-2-4-2-224-40000000000000000000000000000000000000000000000
χ628-88-8-88-4200-2-4-24244-4-220000000000000000000000000000000000000000000000
χ638-8-88002-4004-2-4-242000000000000004-400000000000000000000-22000000000000
χ648-8-88002-4004-2-4-24200000000000000-44000000000000000000002-2000000000000
χ658-8-8800-4200-2424-2-40000000000004i−4i00000000000000000000−2i2i00000000000000
χ668-8-8800-4200-2424-2-4000000000000−4i4i000000000000000000002i−2i00000000000000

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