Finite Group Databasebeta

← Group #11792173

Character table — Group #11792173

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order122443366664612121212224444121212122442224881212121266612242444488
χ1111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-111-1-1-11-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-11111-1-1-1-11-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111111111-1-1-1-1111-1-111-1-111111-1-11-1-1-1-1-111
χ611111111111-111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111-111-1-1
χ711111111111-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-111-1-1
χ811111111111-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-111-1-1-111
χ922222222222222222-2-200002222-2-2-20000000000000000-20000
χ1022222222222-222222-2-20000-2-2-2-2-2-2-2000000000000000020000
χ11222-2-222222202-2-2-2-222000000002-2-22-20000000002-200000000
χ12222-2-222222202-2-2-2-222000000002-2-2-22000000000-2200000000
χ13222-2-222222202-2-2-2-2-2-222-2-20000-22200000022-2-200000000000
χ14222-2-222222202-2-2-2-2-2-2-2-2220000-222000000-2-22200000000000
χ1522-22-2222-2-220-22-22-22200000000-2-22000000000000000002-200
χ1622-22-2222-2-220-22-22-22200000000-2-2200000000000000000-2200
χ1722-22-2222-2-220-22-22-2-2-20000000022-200000000000000000002i−2i
χ1822-22-2222-2-220-22-22-2-2-20000000022-20000000000000000000−2i2i
χ1922-2-22222-2-220-2-22-222200000000-22-2002-2000000200-20000000
χ2022-2-22222-2-220-2-22-222200000000-22-200-22000000-20020000000
χ2122-2-22222-2-220-2-22-22-2-2000000002-2200002-2000000002-200000
χ2222-2-22222-2-220-2-22-22-2-2000000002-220000-2200000000-2200000
χ23444441-2-2-2-2141-2-211000000-2-2110000022220000-100-1-1-100000
χ24444441-2-2-2-2141-2-211000000-2-21100000-2-2-2-2000010011100000
χ25444441-2-2-2-21-41-2-21100000022-1-10000022-2-20000-100-11100000
χ26444441-2-2-2-21-41-2-21100000022-1-100000-2-22200001001-1-100000
χ2744444-21111-24-211-2-200222211-2-2000220000-1-1-1-10-1-100000000
χ2844444-21111-24-211-2-200-2-2-2-211-2-2000-2-20000111101100000000
χ2944444-21111-2-4-211-2-2002222-1-122000-2-20000-1-1-1-101100000000
χ3044444-21111-2-4-211-2-200-2-2-2-2-1-12200022000011110-1-100000000
χ31444-4-4-21111-20-2-1-1220022-2-23-3000002-20000-1-1110-1100000000
χ32444-4-4-21111-20-2-1-1220022-2-2-3300000-220000-1-11101-100000000
χ33444-4-4-21111-20-2-1-12200-2-2223-300000-22000011-1-101-100000000
χ34444-4-4-21111-20-2-1-12200-2-222-33000002-2000011-1-10-1100000000
χ3544-4-441-2-22210-12-2-11000000003-3000002-22-20000-1001-1100000
χ3644-4-441-2-22210-12-2-11000000003-300000-22-220000100-11-100000
χ3744-4-441-2-22210-12-2-1100000000-33000002-2-220000-10011-100000
χ3844-4-441-2-22210-12-2-1100000000-3300000-222-20000100-1-1100000
χ394-400044-400-40000004-42i−2i2i−2i00000000000002i−2i2i−2i00000000000
χ404-400044-400-40000004-4−2i2i−2i2i0000000000000−2i2i−2i2i00000000000
χ414-400044-400-4000000-442i−2i−2i2i00000000000002i−2i−2i2i00000000000
χ424-400044-400-4000000-44−2i2i2i−2i0000000000000−2i2i2i−2i00000000000
χ43888-8-82-4-4-4-420244-2-20000000000000000000000000000000000
χ4488-88-82-4-44420-2-442-20000000000000000000000000000000000
χ4588-88-8-422-2-2-4042-2-440000000000000000000000000000000000
χ4688-8-88-422-2-2-404-224-40000000000000000000000000000000000
χ478-8000-42-26-6400000000004i−4i000000000000000−2i2i00000000000
χ488-8000-42-26-640000000000−4i4i0000000000000002i−2i00000000000
χ498-8000-42-2-664000000004i−4i000000000000000−2i2i0000000000000
χ508-8000-42-2-66400000000−4i4i0000000000000002i−2i0000000000000
χ5116-160004-8800-40000000000000000000000000000000000000000

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