Finite Group Databasebeta

← Group #72233364

Character table — Group #72233364

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222244444422222244444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-111111111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-111111-1-111
χ91111111111-1-1111-1-1-111111111-1-11-1111-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1111-1-1-111111111-1-11-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11
χ111111111111-1-1111-1-1-111111111-1-1-1111-11-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-11-11
χ121111111111-1-1111-1-1-111111111-1-1-11-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ131111111111-1-1111-1-1-111-1-1-1-111111-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-1-111-111-1
χ141111111111-1-1111-1-1-111-1-1-1-111111-1-1-11-1-1-1-1-111-1-111-1-111-1-111111-1-1-1111-1-11
χ151111111111-1-1111-1-1-111-1-1-1-11111-1111-11-1-1-1-1-1-111-1-111-1-11111-1-1-1111-1-11-1-11
χ161111111111-1-1111-1-1-111-1-1-1-11111-11-1-1-11-1-1-1-1-1-11111-1-111-1-111111-111-1-1-111-1
χ17222222222222222222-2-22222-2-2-2-2000000-2-2-2-200000000000022000000000000
χ18222222222222222222-2-2-2-2-2-2-2-222000000-2-222000000000000-2-2000000000000
χ19222222222222-2-2-22-2-2220000-2-2000000002-2000000220000-2-200-2-20200000000
χ20222222222222-2-2-22-2-2220000-2-2000000002-2000000-2-200002200220-200000000
χ21222222222222-2-2-22-2-2-2-200002200002200-2200000000-2-222000000-2000000000
χ22222222222222-2-2-22-2-2-2-20000220000-2-200-220000000022-2-20000002000000000
χ232222222222-2-2222-2-2-2-2-22222-2-22200000022-2-2000000000000-2-2000000000000
χ242222222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2000000222200000000000022000000000000
χ252222222222-2-2-2-2-2-222220000-2-200000000-220000002200002200-2-20-200000000
χ262222222222-2-2-2-2-2-222220000-2-200000000-22000000-2-20000-2-200220200000000
χ272222222222-2-2-2-2-2-222-2-2000022000022002-200000000-2-2-2-20000002000000000
χ282222222222-2-2-2-2-2-222-2-20000220000-2-2002-2000000002222000000-2000000000
χ2922222-2-2-2-220022-20002-222-2-22-200020002002-200-2-200000000000000002-20000
χ3022222-2-2-2-220022-20002-222-2-22-2000-2000-2002-200220000000000000000-220000
χ3122222-2-2-2-220022-20002-2-2-2222-20002000200-2200-2-20000000000000000-220000
χ3222222-2-2-2-220022-20002-2-2-2222-2000-2000-200-22002200000000000000002-20000
χ3322222-2-2-2-220022-2000-2222-2-2-220020002000-22-2-200000000000000002-2000000
χ3422222-2-2-2-220022-2000-2222-2-2-2200-2000-2000-22220000000000000000-22000000
χ3522222-2-2-2-220022-2000-22-2-222-2200200020002-2-2-20000000000000000-22000000
χ3622222-2-2-2-220022-2000-22-2-222-2200-2000-20002-22200000000000000002-2000000
χ3744444-4-4-4-4400-4-440004-40000-4400000000000000000000000000000000000000
χ3844444-4-4-4-4400-4-44000-4400004-400000000000000000000000000000000000000
χ394444-444-4-4-40000004-400000000002200-2-200002-22-20000000000000000000000
χ404444-444-4-4-40000004-40000000000-2-200220000-22-220000000000000000000000
χ414444-444-4-4-4000000-4400000000002-200-2200002-2-220000000000000000000000
χ424444-444-4-4-4000000-440000000000-22002-20000-222-20000000000000000000000
χ434444-4-4-444-444000-40000000000002200-2-20000-22-220000000000000000000000
χ444444-4-4-444-444000-4000000000000-2-2002200002-22-20000000000000000000000
χ454444-4-4-444-4-4-400040000000000002-200-220000-222-20000000000000000000000
χ464444-4-4-444-4-4-40004000000000000-22002-200002-2-220000000000000000000000
χ4744-4-440000-4004-4000000004i−4i0000002-200000000002i−2i2-20000002i−2i0000000000
χ4844-4-440000-4004-4000000004i−4i000000-220000000000−2i2i-22000000−2i2i0000000000
χ4944-4-440000-4004-400000000−4i4i0000002-20000000000−2i2i2-2000000−2i2i0000000000
χ5044-4-440000-4004-400000000−4i4i000000-2200000000002i−2i-220000002i−2i0000000000
χ5144-4-440000-400-440000004i−4i000000002-200000000002i−2i-22000000−2i2i0000000000
χ5244-4-440000-400-440000004i−4i00000000-220000000000−2i2i2-20000002i−2i0000000000
χ5344-4-440000-400-44000000−4i4i000000002-20000000000−2i2i-220000002i−2i0000000000
χ5444-4-440000-400-44000000−4i4i00000000-2200000000002i−2i2-2000000−2i2i0000000000
χ5588-8-8-80000800000000000000000000000000000000000000004-4000000000000
χ5688-8-8-8000080000000000000000000000000000000000000000-44000000000000
χ578-88-80008-8000000000000000004-4000000000000000000000000000000000000
χ588-88-80008-800000000000000000-44000000000000000000000000000000000000
χ598-88-8000-8808-80000000000000000000000000000000000000000000000000000
χ608-88-8000-880-880000000000000000000000000000000000000000000000000000
χ618-8-8808-8000000000000000000000000000000000000000004-400000000000000
χ628-8-8808-800000000000000000000000000000000000000000-4400000000000000
χ638-8-880-880000000000000000000000000000000000000004-40000000000000000
χ648-8-880-88000000000000000000000000000000000000000-440000000000000000

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