Finite Group Databasebeta

← Group #72266696

Character table — Group #72266696

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222222244888888888888161616161616161616161616161616163232323232323232323232323232323232323232
order1222222222222222222222224444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ9111111-1-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1111-1-1-11-1ii−i−iii−i−iii−i−i
χ10111111-1-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1111-11ii−i−i−i−iii−i−iii
χ11111111-1-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-1111111-11-1-1-11−i−iiiii−i−i−i−iii
χ12111111-1-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111-1-11-1111-1−i−iii−i−iiiii−i−i
χ13111111-1-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1111-1-1-11-1−i−iii−i−iii−i−iii
χ14111111-1-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1111-11−i−iiiii−i−iii−i−i
χ15111111-1-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-1111111-11-1-1-11ii−i−i−i−iiiii−i−i
χ16111111-1-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111-1-11-1111-1ii−i−iii−i−i−i−iii
χ17222222222222222222-2-22-22-2-2-2-2-200000000000000002-2002-200000000000000
χ18222222222222222222-2-22-22-2-2-2-2-20000000000000000-2200-2200000000000000
χ192222222222222222-2-222-22-22-2-2-2-20000000022-2-222-2-200000000000000000000
χ202222222222222222-2-222-22-22-2-2-2-200000000-2-222-2-22200000000000000000000
χ212222222222222222-2-2-2-2-2-2-2-222220000000000000000002-200-22000000000000
χ222222222222222222-2-2-2-2-2-2-2-22222000000000000000000-22002-2000000000000
χ2322222222-2-222-2-2-2-22-22-222-2-22-22-222-2-222-2-20000000000000000000000000000
χ2422222222-2-222-2-2-2-22-22-222-2-22-22-2-2-222-2-2220000000000000000000000000000
χ2522222222-2-222-2-2-2-22-2-222-2-22-22-2200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-222-2-2-2-22-2-222-2-22-22-220000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-222-2-2-2-2-222-2-222-2-22-220000000000000000000000002i−2i2i−2i00000000
χ2822222222-2-222-2-2-2-2-222-2-222-2-22-22000000000000000000000000−2i2i−2i2i00000000
χ2922222222-2-222-2-2-2-2-22-22-2-2222-22-2000000000000000000000000000000002i−2i2i−2i
χ3022222222-2-222-2-2-2-2-22-22-2-2222-22-200000000000000000000000000000000−2i2i−2i2i
χ31222222-2-222-2-222-2-222-2-2-22-22-2-22200000000000000002-200-2200000000000000
χ32222222-2-222-2-222-2-222-2-2-22-22-2-2220000000000000000-22002-200000000000000
χ33222222-2-222-2-222-2-2-2-2222-22-2-2-2220000000022-2-2-2-22200000000000000000000
χ34222222-2-222-2-222-2-2-2-2222-22-2-2-22200000000-2-22222-2-200000000000000000000
χ35222222-2-222-2-222-2-2-2-2-2-2222222-2-20000000000000000002200-2-2000000000000
χ36222222-2-222-2-222-2-2-2-2-2-2222222-2-2000000000000000000-2-20022000000000000
χ37222222-2-2-2-2-2-2-2-2222-22-2-2-2222-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ38222222-2-2-2-2-2-2-2-2222-22-2-2-2222-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ39222222-2-2-2-2-2-2-2-2222-2-22-222-2-222-200000000000000000000000000002-2-220000
χ40222222-2-2-2-2-2-2-2-2222-2-22-222-2-222-20000000000000000000000000000-222-20000
χ41222222-2-2-2-2-2-2-2-222-222-22-2-22-222-20000000000000000000000002-2-2200000000
χ42222222-2-2-2-2-2-2-2-222-222-22-2-22-222-2000000000000000000000000-222-200000000
χ43222222-2-2-2-2-2-2-2-222-22-2222-2-22-2-22000000000000000000000000000000002-2-22
χ44222222-2-2-2-2-2-2-2-222-22-2222-2-22-2-2200000000000000000000000000000000-222-2
χ454444-4-4444-4-4-44-44-40000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ464444-4-4444-4-4-44-44-4000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ474444-4-444-44-4-4-44-440000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ484444-4-444-44-4-4-44-44000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ494444-4-4-4-44-4444-4-440000000000002-22-2-22-220000000000000000000000000000
χ504444-4-4-4-44-4444-4-44000000000000-22-222-22-20000000000000000000000000000
χ514444-4-4-4-4-4444-444-40000000000002-2-22-222-20000000000000000000000000000
χ524444-4-4-4-4-4444-444-4000000000000-222-22-2-220000000000000000000000000000
χ5388-8-8000008000-80000000000000000000000004i−4i000000000000000000000000
χ5488-8-8000008000-8000000000000000000000000−4i4i000000000000000000000000
χ5588-8-800000-8000800000000000000000000000000004-400000000000000000000
χ5688-8-800000-800080000000000000000000000000000-4400000000000000000000
χ578-88-800008000-80000000000000000000000000004i−4i0000000000000000000000
χ588-88-800008000-8000000000000000000000000000−4i4i0000000000000000000000
χ598-88-80000-80008000000000000000000000004-400000000000000000000000000
χ608-88-80000-8000800000000000000000000000-4400000000000000000000000000
χ618-8-888-88-8008-80000000000000000000000000000000000000000000000000000
χ628-8-888-8-8800-880000000000000000000000000000000000000000000000000000
χ638-8-88-888-800-880000000000000000000000000000000000000000000000000000
χ648-8-88-88-88008-80000000000000000000000000000000000000000000000000000

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