Finite Group Databasebeta

← Group #72312872

Character table — Group #72312872

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111222222224444444444488888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232
order1222222244442222244444422448888222222444444444444444488888824444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111
χ911111111111111111111111-1-1-1-1111111-1-111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111
χ1111111111111111111111111-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ1211111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1111111-1-1-1-1-1-1
χ1311111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ1411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1511111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ1611111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ172222222222222-2-2-2-22-2-2-22-200002222220000000000-2-200000000-2-20000-22000000000000
χ182222222222222-2-2-2-22-2-2-22-200002222-2-200000000002200000000-2-200002-2000000000000
χ192222222222222-2-2-2-22-2-2-22-20000-2-2-2-2220000000000-2-2000000002200002-2000000000000
χ202222222222222-2-2-2-22-2-2-22-20000-2-2-2-2-2-200000000002200000000220000-22000000000000
χ2122222222-2-2-2-222222-2-2-2-2-2-222220000000000-2-2000000000022-2-2000000000000002-20000
χ2222222222-2-2-2-222222-2-2-2-2-2-222220000000000-2-20000000000-2-22200000000000000-220000
χ2322222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2000000000022000000000022-2-200000000000000-220000
χ2422222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-20000000000220000000000-2-222000000000000002-20000
χ25222222-2-22222-222-2-2-22-2-2-22000022-2-200220000000000-2-20000002-20000002-20000000000
χ26222222-2-22222-222-2-2-22-2-2-22000022-2-200-2-20000000000220000002-2000000-220000000000
χ27222222-2-22222-222-2-2-22-2-2-220000-2-22200220000000000-2-2000000-22000000-220000000000
χ28222222-2-22222-222-2-2-22-2-2-220000-2-22200-2-2000000000022000000-220000002-20000000000
χ29222222-2-22222-2-2-222-2-222-2-222-2-222-2-20000002-200000000000000-22000000000000002-200
χ30222222-2-22222-2-2-222-2-222-2-222-2-2-2-2220000002-2000000000000002-200000000000000-2200
χ31222222-2-22222-2-2-222-2-222-2-2-2-22222-2-2000000-2200000000000000-2200000000000000-2200
χ32222222-2-22222-2-2-222-2-222-2-2-2-222-2-222000000-22000000000000002-2000000000000002-200
χ33222222-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000-22000000000000000022-2-20000000000002-2
χ34222222-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000-220000000000000000-2-222000000000000-22
χ35222222-2-2-2-2-2-2-2-2-22222-2-222-2-22200000000002-2000000000000000022-2-2000000000000-22
χ36222222-2-2-2-2-2-2-2-2-22222-2-222-2-22200000000002-20000000000000000-2-2220000000000002-2
χ372222-2-2222-2-22-22-22-2-2-22-222000000002-2002200-2-2002-200000000002-22-200000000000000
χ382222-2-2222-2-22-22-22-2-2-22-222000000002-200-2-20022002-20000000000-22-2200000000000000
χ392222-2-2222-2-22-22-22-2-2-22-22200000000-22002200-2-200-220000000000-22-2200000000000000
χ402222-2-2222-2-22-22-22-2-2-22-22200000000-2200-2-2002200-2200000000002-22-200000000000000
χ412222-2-2222-2-22-2-22-22-22-222-2000000002-20000000022-2200-2-22-22-200000000000000000000
χ422222-2-2222-2-22-2-22-22-22-222-2000000002-200000000-2-2-220022-22-2200000000000000000000
χ432222-2-2222-2-22-2-22-22-22-222-200000000-2200000000222-200-2-2-22-2200000000000000000000
χ442222-2-2222-2-22-2-22-22-22-222-200000000-2200000000-2-22-200222-22-200000000000000000000
χ452222-2-222-222-2-2-22-222-22-2-2200000000002-200000000002-2002-2-220000000000002-2000000
χ462222-2-222-222-2-2-22-222-22-2-2200000000002-200000000002-200-222-2000000000000-22000000
χ472222-2-222-222-2-2-22-222-22-2-220000000000-220000000000-22002-2-22000000000000-22000000
χ482222-2-222-222-2-2-22-222-22-2-220000000000-220000000000-2200-222-20000000000002-2000000
χ492222-2-2-2-2-222-22-222-2-2-2-222200000000002-20000000000-22000000002-2-2200002-200000000
χ502222-2-2-2-2-222-22-222-2-2-2-222200000000002-20000000000-2200000000-222-20000-2200000000
χ512222-2-2-2-2-222-22-222-2-2-2-22220000000000-2200000000002-2000000002-2-220000-2200000000
χ522222-2-2-2-2-222-22-222-2-2-2-22220000000000-2200000000002-200000000-222-200002-200000000
χ5344444444-4-4-4-44-4-4-4-4-4444-4400000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-4-4-444-4-44-4444-400000000000000000000000000000000000000000000000000
χ554444-4-444-444-4-44-44-444-44-4-400000000000000000000000000000000000000000000000000
χ564444-4-4-4-44-4-4444-4-444-4-44-4400000000000000000000000000000000000000000000000000
χ574444-4-4-4-44-4-444-444-4444-4-4-400000000000000000000000000000000000000000000000000
χ584444-4-4-4-4-444-444-4-44-444-44-400000000000000000000000000000000000000000000000000
χ5944-4-44-40044-4-4000000000000000004i−4i00002-2002-22i−2i00002i−2i000000000000000000000000
χ6044-4-44-40044-4-4000000000000000004i−4i0000-2200-22−2i2i0000−2i2i000000000000000000000000
χ6144-4-44-40044-4-400000000000000000−4i4i00002-2002-2−2i2i0000−2i2i000000000000000000000000
χ6244-4-44-40044-4-400000000000000000−4i4i0000-2200-222i−2i00002i−2i000000000000000000000000
χ6344-4-4-44004-44-40000000000000004i−4i0000002-200-222i−2i0000−2i2i000000000000000000000000
χ6444-4-4-44004-44-40000000000000004i−4i000000-22002-2−2i2i00002i−2i000000000000000000000000
χ6544-4-4-44004-44-4000000000000000−4i4i0000002-200-22−2i2i00002i−2i000000000000000000000000
χ6644-4-4-44004-44-4000000000000000−4i4i000000-22002-22i−2i0000−2i2i000000000000000000000000
χ6788-8-88-800-8-8880000000000000000000000000000000000000000000000000000000000000
χ6888-8-8-8800-88-880000000000000000000000000000000000000000000000000000000000000
χ698-8-88008-80000000000000004-44-40000000000000000000000000000000000000000000000
χ708-8-88008-8000000000000000-44-440000000000000000000000000000000000000000000000
χ718-8-8800-880000000000000004-4-440000000000000000000000000000000000000000000000
χ728-8-8800-88000000000000000-444-40000000000000000000000000000000000000000000000
χ7316-1616-16000000000000000000000000000000000000000000000000000000000000000000000

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