Finite Group Databasebeta

← Group #72265777

Character table — Group #72265777

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222224444444444444444222222244444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-11111-1-1-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ9111111111111-1-1-1-111-1-111-1-111-1-111-1-1111-111-111-1-11-1111-11-111-1-11-1-1-111-1-11-11-1
χ10111111111111-1-1-1-111-1-111-1-111-1-111-1-1111-111-1-1-1-1-11-1-1-11-11-111-1-11-111-1-111-11-11
χ11111111111111-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-1111-11-11111-11-1-1-111-11-1-1-1-1111-1-11
χ12111111111111-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-11-1-1-11-11-1-11-11-1-1-111-111111-1-1-111-1
χ13111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1111-1-1-1111-11-1111-1-1-11-1-111-1-1-11-11
χ14111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1-1-1-1-11-1-1-11-1111-1-1-1111-1-1111-11-1
χ15111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-11-11-111-111-111-11-11-1-1111-1-1-1-1-111-111-1
χ16111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-11-11-1-1-1-111-1-1-1-11-11-1-1111-11111-1-11-1-11
χ172222222222222222-2-2-2-2000022-2-20000-2-20020000-2-200000000-2-222000000000000
χ182222222222222222-2-2-2-20000-2-2220000-2-200-20000-220000000022-2-2000000000000
χ19222222222222-2-2-2-2-2-222000022220000-2-200200002200000000-2-2-2-2000000000000
χ20222222222222-2-2-2-2-2-2220000-2-2-2-20000-2-200-200002-2000000002222000000000000
χ212222222-2-22-2-200002-2000022002222002-20-2020000-2-20000-202002-2-200000000000
χ222222222-2-22-2-200002-200002200-2-2-2-2002-20-20-20000220000-20200-22200000000000
χ232222222-2-22-2-200002-20000-2-20022-2-2002-2020-20000-22000020-2002-2200000000000
χ242222222-2-22-2-200002-20000-2-200-2-222002-2020200002-2000020-200-22-200000000000
χ252222222-2-22-2-20000-2200220000220022-22-20002000-20-200-202000-220-20000000000
χ262222222-2-22-2-20000-2200220000-2-200-2-2-22-2000-200020200-2020002-2020000000000
χ272222222-2-22-2-20000-2200-2-200002200-2-2-222000-2000-2020020-2000-22020000000000
χ282222222-2-22-2-20000-2200-2-20000-2-20022-222000200020-20020-20002-20-20000000000
χ29222222-22-2-22-200002-200002222000022-220-2-20-200000200020-22-2000-20000000000
χ30222222-22-2-22-200002-2000022-2-20000-2-2-220-220200000-200020-2-2200020000000000
χ31222222-22-2-22-200002-20000-2-2220000-2-2-2202-20200000-2000-2022-200020000000000
χ32222222-22-2-22-200002-20000-2-2-2-2000022-220220-2000002000-202-22000-20000000000
χ33222222-22-2-22-20000-22002200220022002-2-20-2-200000200020-20-2200-200000000000
χ34222222-22-2-22-20000-22002200-2-200-2-2002-2-202200000-200020-202-200200000000000
χ35222222-22-2-22-20000-2200-2-2002200-2-2002-220-2200000-2000-2020-2200200000000000
χ36222222-22-2-22-20000-2200-2-200-2-20022002-2202-2000002000-20202-200-200000000000
χ37222222-2-22-2-2222-2-22222222200000000-2-22200000-200000-2-2-2-20000000000000000
χ38222222-2-22-2-2222-2-22222-2-2-2-200000000-2-2-2-200000-20000022220000000000000000
χ39222222-2-22-2-2222-2-2-2-2-2-20000000022-2-222000-220020-2200000000002-20000000000
χ40222222-2-22-2-2222-2-2-2-2-2-200000000-2-222220002-200202-20000000000-220000000000
χ41222222-2-22-2-22-2-22222-2-222-2-200000000-2-22-200000200000-22-220000000000000000
χ42222222-2-22-2-22-2-22222-2-2-2-22200000000-2-2-22000002000002-22-20000000000000000
χ43222222-2-22-2-22-2-222-2-22200000000222222000-2-200-20-2-20000000000220000000000
χ44222222-2-22-2-22-2-222-2-22200000000-2-2-2-2220002200-20220000000000-2-20000000000
χ454444-4-400-40040000004-40000000000000000000220000-2-200000000002-200000000
χ464444-4-400-40040000004-40000000000000000000-2-20000220000000000-2200000000
χ474444-4-400-4004000000-440000000000000000000220000-2-20000000000-2200000000
χ484444-4-400-4004000000-440000000000000000000-2-200002200000000002-200000000
χ4944-4-44-4400-400000000000000004i−4i000000000002-200002-2000000000000002i−2i0000
χ5044-4-44-4400-400000000000000004i−4i00000000000-220000-2200000000000000−2i2i0000
χ5144-4-44-4400-40000000000000000−4i4i000000000002-200002-200000000000000−2i2i0000
χ5244-4-44-4400-40000000000000000−4i4i00000000000-220000-22000000000000002i−2i0000
χ5344-4-4-440-400400000000000004-400000000000002-20000-220000000000002-2000000
χ5444-4-4-440-400400000000000004-40000000000000-2200002-2000000000000-22000000
χ5544-4-4-440-40040000000000000-4400000000000002-20000-22000000000000-22000000
χ5644-4-4-440-40040000000000000-440000000000000-2200002-20000000000002-2000000
χ578888-8-800800-80000000000000000000000000000000000000000000000000000000
χ5888-8-88-8-8008000000000000000000000000000000000000000000000000000000000
χ5988-8-8-880800-800000000000000000000000000000000000000000000000000000000
χ608-88-800000000004-40000000000004-44-400000000000000000000000000000000000
χ618-88-800000000004-4000000000000-44-4400000000000000000000000000000000000
χ628-88-80000000000-440000000000004-4-4400000000000000000000000000000000000
χ638-88-80000000000-44000000000000-444-400000000000000000000000000000000000
χ648-8-88000000004-40000004-44-40000000000000000000000000000000000000000000
χ658-8-88000000004-4000000-44-440000000000000000000000000000000000000000000
χ668-8-8800000000-440000004-4-440000000000000000000000000000000000000000000
χ678-8-8800000000-44000000-444-40000000000000000000000000000000000000000000

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