Finite Group Databasebeta

← Group #72338960

Character table — Group #72338960

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444441616161616161616161616161616161616161616323232323232323232323232323232323264646464646464646464128128128128
order12222224444222222224444444444442244444444488888844444448884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1111-1-1
χ31111111111111111111111111-1-1-1-111-1-11-1-1-1-11111111111111-1-1-1-1111-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111
χ511111111111111-1-111111-1-111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-111111-1-1111111111111111-1-111-1-1-1-111-11-11111-11-1-1-1-1-1
χ711111111111111-1-111111-1-111-1-1-1-111-1-11-1-1-1-111-1-11111-1-11-1-11111-1-1-111-1-1
χ811111111111111-1-111111-1-111-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-11-11111
χ911111111111-1-1-1111111-111-1-111-1-1111-1-11-11-11111-1-11111-1-1-111-1-11-1-11-11-1
χ1011111111111-1-1-1111111-111-1-111-1-1111-1-11-11-1-1-1-1-111-1-1-1-111-1-1-11111-11-1-11
χ1111111111111-1-1-1111111-111-1-1-1-11111-11-1-11-111111-1-11111-1-1-1-1-1111-1-1-11-11
χ1211111111111-1-1-1111111-111-1-1-1-11111-11-1-11-11-1-1-1-111-1-1-1-111-111-1-111-1-111-1
χ1311111111111-1-1-1-1-11111-1-1-1-1-111-1-1111-1-11-11-111-1-1-1-111-1-1-111-1-111-111-111-1
χ1411111111111-1-1-1-1-11111-1-1-1-1-111-1-1111-1-11-11-1-1-11111-1-1111-1111-1-1-1-11-11-11
χ1511111111111-1-1-1-1-11111-1-1-1-1-1-1-11111-11-1-11-1111-1-1-1-111-1-1-11111-1-1-1111-1-11
χ1611111111111-1-1-1-1-11111-1-1-1-1-1-1-11111-11-1-11-11-1-11111-1-1111-11-1-111-1-111-11-1
χ172222222222222200-2-222200-2-20000-2-200-2000000220000-2-202000000-200000
χ182222222222222200-2-222200-2-20000-2-200-2000000-2-20000220-2000000200000
χ192222222222222-200-2-2-2-2-200-2-200002200200002200-2-2-2-20020000000000000
χ202222222222222-200-2-2-2-2-200-2-20000220020000-2-200222200-20000000000000
χ212222222222222-22222-2-2-222220000-2-200-2000000000000000020000-20-20000
χ222222222222222-2-2-222-2-2-2-2-2220000-2-200-20000000000000000-200002020000
χ2322222222222-2-2200-2-2-2-22002200002200-20000220022-2-200-20000000000000
χ2422222222222-2-2200-2-2-2-22002200002200-20000-2-200-2-2220020000000000000
χ2522222222222-2-222222-2-2222-2-20000-2-20020000000000000000-20000-2020000
χ2622222222222-2-22-2-222-2-22-2-2-2-20000-2-200200000000000000002000020-20000
χ2722222222222-2-2-200-2-222-200220000-2-2002000000220000-2-20-2000000200000
χ2822222222222-2-2-200-2-222-200220000-2-2002000000-2-200002202000000-200000
χ2922222-2-222-2-2000002-2-220000000222-20-20020-2002i−2i00002i−2i000002i−2i0000000
χ3022222-2-222-2-2000002-2-220000000222-20-20020-200−2i2i0000−2i2i00000−2i2i0000000
χ3122222-2-222-2-2000002-2-220000000-2-22-20200-202002i−2i00002i−2i00000−2i2i0000000
χ3222222-2-222-2-2000002-2-220000000-2-22-20200-20200−2i2i0000−2i2i000002i−2i0000000
χ3322222-2-222-2-200000-22-22000002200-22-20020-20002i−2i0000−2i2i0002i−2i000000000
χ3422222-2-222-2-200000-22-22000002200-22-20020-2000−2i2i00002i−2i000−2i2i000000000
χ3522222-2-222-2-200000-22-2200000-2-200-22200-2020002i−2i0000−2i2i000−2i2i000000000
χ3622222-2-222-2-200000-22-2200000-2-200-22200-202000−2i2i00002i−2i0002i−2i000000000
χ374444444-4-4-4-44-4000000000000222200220-2-2-2-2000000000000000000000000
χ384444444-4-4-4-44-4000000000000-2-2-2-200-2-202222000000000000000000000000
χ394444444-4-4-4-4-4400000000000022-2-2002-20-22-22000000000000000000000000
χ404444444-4-4-4-4-44000000000000-2-22200-2202-22-2000000000000000000000000
χ4144444-4-444-4-4000004-44-4000000000-440000000000000000000000000000000
χ4244444-4-444-4-400000-444-40000000004-40000000000000000000000000000000
χ4344444-4-4-4-444004000000-4000022-2-200-220-222-2000000000000000000000000
χ4444444-4-4-4-444004000000-40000-2-222002-202-2-22000000000000000000000000
χ4544444-4-4-4-44400-400000040000222200-2-20-2-222000000000000000000000000
χ4644444-4-4-4-44400-400000040000-2-2-2-20022022-2-2000000000000000000000000
χ47888-8-800008-80000000000000000000000000004i−4i0000000000000000000000
χ48888-8-800008-8000000000000000000000000000−4i4i0000000000000000000000
χ49888-8-80000-880004-4000004-4000000000000000000000000000000000000000
χ50888-8-80000-88000-4400000-44000000000000000000000000000000000000000
χ5188-88-88-800000000000000000000000000000000000004i−4i0000000000000000
χ5288-88-88-80000000000000000000000000000000000000−4i4i0000000000000000
χ5388-88-8-8800000004400000-4-4000000000000000000000000000000000000000
χ5488-88-8-880000000-4-40000044000000000000000000000000000000000000000
χ5588-8-88008-80000000000000000000000000000000004-4000000000000000000
χ5688-8-88008-8000000000000000000000000000000000-44000000000000000000
χ5788-8-8800-88000004-400000-44000000000000000000000000000000000000000
χ5888-8-8800-8800000-44000004-4000000000000000000000000000000000000000
χ5916-160000000000000000000004-44-44-4000000000000000000000000000000000
χ6016-160000000000000000000004-4-44-44000000000000000000000000000000000
χ6116-16000000000000000000000-444-4-44000000000000000000000000000000000
χ6216-16000000000000000000000-44-444-4000000000000000000000000000000000

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