Finite Group Databasebeta

← Group #72337636

Character table — Group #72337636

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111444888888888888161616161616161616161616163232323232326464646464646464
order1222222222222444444222224444444444444444444444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1111111-1-111-1-111-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111-1-1111111-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ922222222222-2-222-2-2-2-20000-2000022220000-2-200000000
χ1022222222222-2-222-2-2-2-20000-20000-2-2-2-200002200000000
χ11222222222-2-222-2-222-2-20022-20022000000-2-20000000000
χ12222222222-2-222-2-222-2-200-2-2-200-2-2000000220000000000
χ13222222222-2-2-2-2-2-2-2-222000020000000000000000002-200
χ14222222222-2-2-2-2-2-2-2-22200002000000000000000000-2200
χ152222222-2-22222-2-2-2-2222200-222000000-2-2000000000000
χ162222222-2-22222-2-2-2-222-2-200-2-2-200000022000000000000
χ172222222-2-222-2-2-2-222-2-20000200000000000000002-20000
χ182222222-2-222-2-2-2-222-2-2000020000000000000000-220000
χ192222222-2-2-2-22222-2-2-2-200002000000000000002-2000000
χ202222222-2-2-2-22222-2-2-2-20000200000000000000-22000000
χ212222222-2-2-2-2-2-22222220000-2000000000000000000002i−2i
χ222222222-2-2-2-2-2-22222220000-200000000000000000000−2i2i
χ2344444-4-400004-400000000000000022-2-200002-200000000
χ2444444-4-400004-4000000000000000-2-2220000-2200000000
χ2544444-4-40000-4400000000000000022-2-20000-2200000000
χ2644444-4-40000-44000000000000000-2-22200002-200000000
χ274444-44-4004-4000000000022000-2-20000002-20000000000
χ284444-44-4004-40000000000-2-200022000000-220000000000
χ294444-44-400-44000000000022000-2-2000000-220000000000
χ304444-44-400-440000000000-2-2000220000002-20000000000
χ314444-4-444-4000000000022000-2-20000002-2000000000000
χ324444-4-444-40000000000-2-200022000000-22000000000000
χ334444-4-44-44000000000022000-2-2000000-22000000000000
χ344444-4-44-440000000000-2-2000220000002-2000000000000
χ3588-8-80000000004-40000000000000004i−4i00000000000000
χ3688-8-80000000004-4000000000000000−4i4i00000000000000
χ3788-8-8000000000-4400000000000004i−4i0000000000000000
χ3888-8-8000000000-440000000000000−4i4i0000000000000000
χ398-88-800000000000004-4000004-400000000000000000000
χ408-88-800000000000004-400000-4400000000000000000000
χ418-88-80000000000000-444-40000000000000000000000000
χ428-88-80000000000000-44-440000000000000000000000000
χ438-8-88000000000004-40000000004-4000000000000000000
χ448-8-88000000000004-4000000000-44000000000000000000
χ458-8-8800000000000-4400004-400000000000000000000000
χ468-8-8800000000000-440000-4400000000000000000000000

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