Finite Group Databasebeta

← Group #11792421

Character table — Group #11792421

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order122443366664612121212442244121212122242444668812126121212242424488
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-111-1-1-11-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111111111-1-1-1-111111-1-111-1-1111-1-11-1-1-111-1-1
χ611111111111-111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-111
χ711111111111-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-111
χ811111111111-11111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-111-111-111-1-1
χ922222222222222222-2-200002222-2-2-20000000000000000-20000
χ1022222222222-222222-2-20000-2-2-2-2-2-2-2000000000000000020000
χ11222-2-222222202-2-2-2-22200000000-2-22002-200000002-200000000
χ12222-2-222222202-2-2-2-22200000000-2-2200-220000000-2200000000
χ13222-2-222222202-2-2-2-2-2-222-2-2000022-200002200-2-200000000000
χ14222-2-222222202-2-2-2-2-2-2-2-222000022-20000-2-2002200000000000
χ1522-22-222-222-20-222-2-22200000000-22-2000000000000000002-200
χ1622-22-222-222-20-222-2-22200000000-22-200000000000000000-2200
χ1722-22-222-222-20-222-2-2-2-2000000002-2200000000000000000002i−2i
χ1822-22-222-222-20-222-2-2-2-2000000002-220000000000000000000−2i2i
χ1922-2-2222-222-20-2-2-22222000000002-2-20000002-20000002-200000
χ2022-2-2222-222-20-2-2-22222000000002-2-2000000-22000000-2200000
χ2122-2-2222-222-20-2-2-222-2-200000000-2222-200000000200-20000000
χ2222-2-2222-222-20-2-2-222-2-200000000-222-2200000000-20020000000
χ23444441-211-214-21-21-200222211-2-20000022-1-100-1-10-1-100000000
χ24444441-211-214-21-21-200-2-2-2-211-2-200000-2-211001101100000000
χ25444441-211-21-4-21-21-2002222-1-12200000-2-2-1-100-1-101100000000
χ26444441-211-21-4-21-21-200-2-2-2-2-1-12200000221100110-1-100000000
χ2744444-21-2-21-241-21-21000000-2-2110002200002200-100-1-1-100000
χ2844444-21-2-21-241-21-21000000-2-211000-2-20000-2-20010011100000
χ2944444-21-2-21-2-41-21-2100000022-1-1000220000-2-200-100-11100000
χ3044444-21-2-21-2-41-21-2100000022-1-1000-2-2000022001001-1-100000
χ31444-4-41-211-210-2-12-120022-2-23-300000002-2-1-100110-1100000000
χ32444-4-41-211-210-2-12-120022-2-2-330000000-22-1-1001101-100000000
χ33444-4-41-211-210-2-12-1200-2-2223-30000000-221100-1-101-100000000
χ34444-4-41-211-210-2-12-1200-2-222-3300000002-21100-1-10-1100000000
χ3544-4-44-212-2120-12-1-21000000003-30002-200002-200-1001-1100000
χ3644-4-44-212-2120-12-1-21000000003-3000-220000-2200100-11-100000
χ3744-4-44-212-2120-12-1-2100000000-330002-20000-2200-10011-100000
χ3844-4-44-212-2120-12-1-2100000000-33000-2200002-200100-1-1100000
χ394-4000440-4-400000004i−4i2-22i−2i000000000002-2002i−2i00000000000
χ404-4000440-4-400000004i−4i-22−2i2i00000000000-2200−2i2i00000000000
χ414-4000440-4-40000000−4i4i2-2−2i2i000000000002-200−2i2i00000000000
χ424-4000440-4-40000000−4i4i-222i−2i00000000000-22002i−2i00000000000
χ43888-8-8-42-4-42-4024-24-20000000000000000000000000000000000
χ4488-88-82-4-22-4-2042-4-240000000000000000000000000000000000
χ4588-88-8-424-4240-2-424-20000000000000000000000000000000000
χ4688-8-882-4-22-4-204-242-40000000000000000000000000000000000
χ478-80002-46-24-600000000004i−4i000000000000000−2i2i00000000000
χ488-80002-46-24-60000000000−4i4i0000000000000002i−2i00000000000
χ498-80002-4-6-246000000004-40000000000000-22000000000000000
χ508-80002-4-6-24600000000-4400000000000002-2000000000000000
χ5116-16000-8408-400000000000000000000000000000000000000000

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