Finite Group Databasebeta

← Group #72316500

Character table — Group #72316500

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222224444444444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222224444444444222444442222224444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11-11-11-1111-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11-11-11-1-1-11-111-1-1-1-11111-111-111-1-1-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-11-11-1111-11-1-11111-1-1-1-11-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-11-11-11-1-1-1111-1-1-1-11111-111-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111-11-11-1111-1-1-111-1-111-1-1-11-11-1-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111-11-11-1-1-11-111-1-111-1-1111-1-11-1-11111-1-1-1-111
χ15111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-11-11-1111-11-1-111-1-111-1-1-11-1111-1-111-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-11-11-11-1-1-1111-1-111-1-1111-1-1111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-22-2-22-22-2-222-2-20000000000000000000000-22000000000000
χ182222222222222222-2-2-2-2-2-22-2-22-22-2-2-2-22200000000000000000000002-2000000000000
χ19222222222222-2-2-2-22222-2-22-2-2-2-2-22222220000000000000000000000-2-2000000000000
χ20222222222222-2-2-2-22222-2-22-2-2-2-2-222-2-2-2-2000000000000000000000022000000000000
χ212222222222-2-222-2-2222222-2-2-222-2-2-20000000000220022-2-20000-2-20000000000000000
χ222222222222-2-222-2-2222222-2-2-222-2-2-20000000000-2-200-2-2220000220000000000000000
χ232222222222-2-222-2-2-2-2-2-2-2-2-2222-2-22200000000000000000022-2-200-2200000000000000
χ242222222222-2-222-2-2-2-2-2-2-2-2-2222-2-222000000000000000000-2-222002-200000000000000
χ252222222222-2-2-2-2222222-2-2-222-2-22-2-2000000000000000000222200-2-200000000000000
χ262222222222-2-2-2-2222222-2-2-222-2-22-2-2000000000000000000-2-2-2-2002200000000000000
χ272222222222-2-2-2-222-2-2-2-222-2-2-2-2222200000000002200-2-2-2-20000220000000000000000
χ282222222222-2-2-2-222-2-2-2-222-2-2-2-222220000000000-2-20022220000-2-20000000000000000
χ2922222-2-2-2-2222222222-2-222-22-2-2-2-22-200002-2-222-200-2200000000000000000000000000
χ3022222-2-2-2-2222222222-2-222-22-2-2-2-22-20000-222-2-22002-200000000000000000000000000
χ3122222-2-2-2-22222222-2-222-2-2-2-22-22-2-2200000000000000000000000000002-22-200000000
χ3222222-2-2-2-22222222-2-222-2-2-2-22-22-2-220000000000000000000000000000-22-2200000000
χ3322222-2-2-2-2222-2-2-2-222-2-2-2-2-2-222222-200000000000000000000000000002-2-2200000000
χ3422222-2-2-2-2222-2-2-2-222-2-2-2-2-2-222222-20000000000000000000000000000-222-200000000
χ3522222-2-2-2-2222-2-2-2-2-2-22222-22-22-22-22000022-2-22200-2-200000000000000000000000000
χ3622222-2-2-2-2222-2-2-2-2-2-22222-22-22-22-220000-2-222-2-2002200000000000000000000000000
χ3722222-2-2-2-22-2-222-2-222-2-2222-22-2-22-220000000000000000000000000000000000002-22-2
χ3822222-2-2-2-22-2-222-2-222-2-2222-22-2-22-22000000000000000000000000000000000000-22-22
χ3922222-2-2-2-22-2-222-2-2-2-222-2-222-2-2222-2000000000000000000000000000000002i−2i2i−2i0000
χ4022222-2-2-2-22-2-222-2-2-2-222-2-222-2-2222-200000000000000000000000000000000−2i2i−2i2i0000
χ4122222-2-2-2-22-2-2-2-22222-2-2-2-222-222-2-22000000000000000000000000000000002i−2i−2i2i0000
χ4222222-2-2-2-22-2-2-2-22222-2-2-2-222-222-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ4322222-2-2-2-22-2-2-2-222-2-222222-222-2-22-20000000000000000000000000000000000002-2-22
χ4422222-2-2-2-22-2-2-2-222-2-222222-222-2-22-2000000000000000000000000000000000000-222-2
χ454444-444-4-4-40000004-44-4000000000000002222-2-200-2-200000000000000000000000000
χ464444-444-4-4-40000004-44-400000000000000-2-2-2-222002200000000000000000000000000
χ474444-444-4-4-4000000-44-44000000000000002-22-2-2200-2200000000000000000000000000
χ484444-444-4-4-4000000-44-4400000000000000-22-222-2002-200000000000000000000000000
χ494444-4-4-444-40000004-4-44000000000000002-2-22-22002-200000000000000000000000000
χ504444-4-4-444-40000004-4-4400000000000000-222-22-200-2200000000000000000000000000
χ514444-4-4-444-4000000-444-40000000000000022-2-2-2-2002200000000000000000000000000
χ524444-4-4-444-4000000-444-400000000000000-2-2222200-2-200000000000000000000000000
χ534-44-440000-44-44i−4i4i−4i0000000000000000000000002-2002i−2i2-200002i−2i0000000000000000
χ544-44-440000-44-44i−4i4i−4i000000000000000000000000-2200−2i2i-220000−2i2i0000000000000000
χ554-44-440000-44-4−4i4i−4i4i0000000000000000000000002-200−2i2i2-20000−2i2i0000000000000000
χ564-44-440000-44-4−4i4i−4i4i000000000000000000000000-22002i−2i-2200002i−2i0000000000000000
χ574-44-440000-4-444i−4i−4i4i0000000000000000000000002-2002i−2i-220000−2i2i0000000000000000
χ584-44-440000-4-444i−4i−4i4i000000000000000000000000-2200−2i2i2-200002i−2i0000000000000000
χ594-44-440000-4-44−4i4i4i−4i0000000000000000000000002-200−2i2i-2200002i−2i0000000000000000
χ604-44-440000-4-44−4i4i4i−4i000000000000000000000000-22002i−2i2-20000−2i2i0000000000000000
χ6188-8-808-800000000000000000000000000000000000000000004i−4i000000000000000000
χ6288-8-808-80000000000000000000000000000000000000000000−4i4i000000000000000000
χ6388-8-80-88000000000000000000000000000000000000000004i−4i00000000000000000000
χ6488-8-80-8800000000000000000000000000000000000000000−4i4i00000000000000000000
χ658-88-8-80000800000000008-8000000000000000000000000000000000000000000000000
χ668-88-8-8000080000000000-88000000000000000000000000000000000000000000000000
χ678-8-880008-8000000000000000000000004-4000000000000000000000000000000000000
χ688-8-880008-800000000000000000000000-44000000000000000000000000000000000000
χ698-8-88000-880000000000000000000004-400000000000000000000000000000000000000
χ708-8-88000-88000000000000000000000-4400000000000000000000000000000000000000

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