Finite Group Databasebeta

← Group #72338670

Character table — Group #72338670

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1124448888161616161616161616161632323232323232323264646464646464646464646464646464128128128128
order12222222222222224444424444444444444444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111-1-11111-1-1-11-111-1-111-11-111111-11-1-1-1-1-1-111-1-1
χ41111111111111-1-11111-1-1-11-111-1-111-11-1-1-1-1-11-11-1-11111-1-111
χ511111111111-1-1111111-1-1-1-1111-1-111-1-111111-11-11-1-1-1-1-1-1-111
χ611111111111-1-1111111-1-1-1-1111-1-111-1-11-1-1-1-1-11-11-1111111-1-1
χ711111111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-111111-1-1-1-1
χ811111111111-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ9111111-1-111-1111111-1-111111-1-1-1-111-1-1-111-1-111-1-1111-1-11-11-1
χ10111111-1-111-1111111-1-111111-1-1-1-111-1-1-1-1-11111-1-11-1-111-11-11
χ11111111-1-111-111-1-111-1-1-1-1-11-1-1-111111-1111-1-11-1-11-1-1-1111-1-11
χ12111111-1-111-111-1-111-1-1-1-1-11-1-1-111111-11-1-1111-1-11-111-1-1-111-1
χ13111111-1-111-1-1-11111-1-1-1-1-1-11-1-1111111-111-1-1-111-1-1-1-111-111-1
χ14111111-1-111-1-1-11111-1-1-1-1-1-11-1-1111111-1-1-111-111-1-111-1-11-1-11
χ15111111-1-111-1-1-1-1-111-1-1111-1-1-1-1-1-111-11111-1-1-1-111111-1-1-11-11
χ16111111-1-111-1-1-1-1-111-1-1111-1-1-1-1-1-111-111-1-111-1-1111-1-1111-11-1
χ17222222222220000222222200-2-2-2-2-2-220000000000-200000000
χ182222222222200002222-2-2-200-2-222-2-2-20000000000200000000
χ192222222222-20022-2-22-2000022-2002-200200000-20-2000000000
χ202222222222-200-2-2-2-22-20000-22-2002-200-200000202000000000
χ212222222222-22200-2-22-200020-2200-220200000-20-20000000000
χ222222222222-2-2-200-2-22-2000-20-2200-220-2000002020000000000
χ23222222-2-22220022-2-2-2200002-22002-200-200000-202000000000
χ24222222-2-222200-2-2-2-2-220000-2-22002-20020000020-2000000000
χ25222222-2-22222200-2-2-22000202-200-220-200000-2020000000000
χ26222222-2-2222-2-200-2-2-22000-202-200-22020000020-20000000000
χ27222222-2-222-2000022-2-2222002222-2-2-20000000000-200000000
χ28222222-2-222-2000022-2-2-2-2-20022-2-2-2-220000000000200000000
χ2944444444-4-40000000-40000000000000002-22-20000000000000
χ3044444444-4-40000000-4000000000000000-22-220000000000000
χ31444444-4-4-4-4000000040000000000000002-2-220000000000000
χ32444444-4-4-4-400000004000000000000000-222-20000000000000
χ334444-4-4004-4000004-40000000004i−4i0000000000000000000000
χ344444-4-4004-4000004-4000000000−4i4i0000000000000000000000
χ354444-4-4004-400000-440044-40000000000000000000000000000
χ364444-4-4004-400000-4400-4-440000000000000000000000000000
χ374444-4-400-4440000000-4000000000000000000000002i−2i2i−2i0000
χ384444-4-400-4440000000-400000000000000000000000−2i2i−2i2i0000
χ394444-4-400-44-400000004000000000000000000000002i−2i−2i2i0000
χ404444-4-400-44-40000000400000000000000000000000−2i2i2i−2i0000
χ41888-88-800000004400000000-400000000000000000000000000
χ42888-88-80000000-4-400000000400000000000000000000000000
χ43888-8-880000044000000000-4000000000000000000000000000
χ44888-8-8800000-4-40000000004000000000000000000000000000
χ451616-160008-8000000000000000000000000000000000000000000
χ461616-16000-88000000000000000000000000000000000000000000
χ4716-160000000004-44-400004-400000000000000000000000000000
χ4816-160000000004-4-440000-4400000000000000000000000000000
χ4916-16000000000-444-40000-4400000000000000000000000000000
χ5016-16000000000-44-4400004-400000000000000000000000000000

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