Finite Group Databasebeta

← Group #11887686

Character table — Group #11887686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order12224433446666661212121244441212121222224488884444441212121212121212488888812121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-111-11-1-1-1-11111-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-11-1-11111-1-111
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1111-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-111-1-11111111-1-1-11-1-1-1-1-11111-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-111-1-111-1-1-1-11-11-1-1111-1-111-1-1-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-11-111-1-1-111-1-111-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-111-1-1111111-1111-111111-1-1-1-1-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-11-11-1-111111111-11-1-1-11-1-1-1-11111-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-11-11-1-11111-1-1-1-1-111-11-111-1-111-1-1-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11-1-11-11-1-111-1-111-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-11-1-1111111111-1111-11111-1-1-1-1-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-2-2-222-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-2222-2-2-2-200000000000000000020000000000
χ2122-2-22-2220022-2-2-2-222-2-2000000002-22-20022−2−20000000000000002−22−22−20000
χ2222-2-22-2220022-2-2-2-222-2-2000000002-22-200−2−222000000000000000−22−22−220000
χ2322-2-22-2220022-2-2-2-222-2-200000000-22-220022−2−20000000000000002−2−22−220000
χ2422-2-22-2220022-2-2-2-222-2-200000000-22-2200−2−222000000000000000−222−22−20000
χ2522-2-2-22220022-2-2-2-2-2-222000000002-2-220022−2−2000000000000000−222−2−220000
χ2622-2-2-22220022-2-2-2-2-2-222000000002-2-2200−2−2220000000000000002−2−222−20000
χ2722-2-2-22220022-2-2-2-2-2-22200000000-222-20022−2−2000000000000000−22−222−20000
χ2822-2-2-22220022-2-2-2-2-2-22200000000-222-200−2−2220000000000000002−22−2−220000
χ292-2-22002200-2-2-22-2200002i−2i2-2000000002-22i−2i2i−2i00000000002i−2i2-200000000000
χ302-2-22002200-2-2-22-2200002i−2i-22000000002-2−2i2i−2i2i00000000002i−2i-2200000000000
χ312-2-22002200-2-2-22-220000−2i2i2-2000000002-2−2i2i−2i2i0000000000−2i2i2-200000000000
χ322-2-22002200-2-2-22-220000−2i2i-22000000002-22i−2i2i−2i0000000000−2i2i-2200000000000
χ334444441-2441-21-2-211-21-20022-2-2110000000000002022-1-10000-1-1000000000-1-1
χ344444441-2441-21-2-211-21-200-2-2-2-211000000000000-20-2-21100001100000000011
χ354444441-2-4-41-21-2-211-21-2002222-1-100000000000020-2-2-1-10000-1-100000000011
χ364444441-2-4-41-21-2-211-21-200-2-222-1-1000000000000-202211000011000000000-1-1
χ37444444-2144-21-211-2-21-21220011-2-2000000000022020000-1-1-1-1000000000-1-100
χ38444444-2144-21-211-2-21-21-2-20011-2-20000000000-2-20-2000011110000000001100
χ39444444-21-4-4-21-211-2-21-212200-1-1220000000000-2-2020000-1-1-1-10000000001100
χ40444444-21-4-4-21-211-2-21-21-2-200-1-1220000000000220-200001111000000000-1-100
χ414444-4-41-24-41-21-2-21-12-120022-221-1000000000000-202-2110000-1-1000000000-11
χ424444-4-41-24-41-21-2-21-12-1200-2-2-221-100000000000020-22-1-10000110000000001-1
χ434444-4-41-2-441-21-2-21-12-1200222-2-11000000000000-20-22110000-1-10000000001-1
χ444444-4-41-2-441-21-2-21-12-1200-2-22-2-11000000000000202-2-1-1000011000000000-11
χ454444-4-4-214-4-21-211-22-12-122001-1-2200000000002-20-2000011-1-1000000000-1100
χ464444-4-4-214-4-21-211-22-12-1-2-2001-1-220000000000-22020000-1-1110000000001-100
χ474444-4-4-21-44-21-211-22-12-12200-112-20000000000-220-2000011-1-10000000001-100
χ484444-4-4-21-44-21-211-22-12-1-2-200-112-200000000002-2020000-1-111000000000-1100
χ494-44-4004400-4-44-44-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ504-44-4004400-4-44-44-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ514-4-44004400-4-4-44-440000000000000000-4400000000000000000000000000000
χ5288-8-88-82-4002-4-244-22-4-240000000000000000000000000000000000000000000
χ5388-8-88-8-4200-424-2-24-424-20000000000000000000000000000000000000000000
χ5488-8-8-882-4002-4-244-2-242-40000000000000000000000000000000000000000000
χ5588-8-8-88-4200-424-2-244-2-420000000000000000000000000000000000000000000
χ568-88-8002-400-2424-4-20000000000000000000000000000−2i32i300000000000000000
χ578-88-8002-400-2424-4-200000000000000000000000000002i3−2i300000000000000000
χ588-88-800-42004-2-4-22400000000000000000000000000000023−23000000000000000
χ598-88-800-42004-2-4-224000000000000000000000000000000−2323000000000000000
χ608-8-88002-400-24-2-4420000004-400000000000000000000000000-2200000000000
χ618-8-88002-400-24-2-442000000-44000000000000000000000000002-200000000000
χ628-8-8800-42004-242-2-400004i−4i00000000000000000000000000−2i2i0000000000000
χ638-8-8800-42004-242-2-40000−4i4i000000000000000000000000002i−2i0000000000000

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