Finite Group Databasebeta

← Group #72312769

Character table — Group #72312769

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222224444444444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222244222224444444222244442222222244444444444488884444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-111-1-1111111-1-11-11-1111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-111-1-11111-1-1111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111111111-1-111-1-1-1-1-1-111-1-11-11-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ91111111111111111111111-1-111-1-11111-1-11111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ101111111111111111111111-1-111-1-11111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111111111111111111111-1-111-1-111-1-1111111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ121111111111111111111111-1-111-1-111-1-111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111
χ1722222222222-2-2-2-22-2-2-222-200000000220022000000-2-200-2-20022-2-20000000000000000
χ1822222222222-2-2-2-22-2-2-222-2000000002200-2-2000000-2-2002200-2-2220000000000000000
χ1922222222222-2-2-2-22-2-2-222-200000000-2-200220000002200-2-200-2-2220000000000000000
χ2022222222222-2-2-2-22-2-2-222-200000000-2-200-2-20000002200220022-2-20000000000000000
χ2122222222-2-222222-2-2-2-2-2-2-22222222200000000-2-2-2-200000000000000002-20000000000
χ2222222222-2-222222-2-2-2-2-2-2-222-2-222-2-200000000-22-220000000000000000-220000000000
χ2322222222-2-222222-2-2-2-2-2-2-2-2-222-2-222000000002-22-20000000000000000-220000000000
χ2422222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000002-20000000000
χ25222222-2-222-222-2-2-22-2-22-220000000000222-200000000-2-22-200000000000000002-20000
χ26222222-2-222-222-2-2-22-2-22-22000000000022-2200000000-2-2-220000000000000000-220000
χ27222222-2-222-222-2-2-22-2-22-220000000000-2-22-200000000222-20000000000000000-220000
χ28222222-2-222-222-2-2-22-2-22-220000000000-2-2-220000000022-2200000000000000002-20000
χ29222222-2-222-2-2-222-2-2222-2-22200-2-20000002-20020-200000-22000000002-2000000000000
χ30222222-2-222-2-2-222-2-2222-2-22200-2-2000000-220020-2000002-200000000-22000000000000
χ31222222-2-222-2-2-222-2-2222-2-2-2-200220000002-200-20200000-2200000000-22000000000000
χ32222222-2-222-2-2-222-2-2222-2-2-2-20022000000-2200-202000002-2000000002-2000000000000
χ33222222-2-2-2-2-2-2-22222-2-2-2222200-2-2000000002-2-20200000002-20000000000002-2000000
χ34222222-2-2-2-2-2-2-22222-2-2-2222200-2-200000000-22-2020000000-22000000000000-22000000
χ35222222-2-2-2-2-2-2-22222-2-2-222-2-20022000000002-220-200000002-2000000000000-22000000
χ36222222-2-2-2-2-2-2-22222-2-2-222-2-2002200000000-2220-20000000-220000000000002-2000000
χ372222-2-22222-22-22-2-2-22-2-222000000002-200002200002-20000-2-200000000000000002-200
χ382222-2-22222-22-22-2-2-22-2-222000000002-20000-2-200002-20000220000000000000000-2200
χ392222-2-22222-22-22-2-2-22-2-22200000000-220000220000-220000-2-20000000000000000-2200
χ402222-2-22222-22-22-2-2-22-2-22200000000-220000-2-20000-2200002200000000000000002-200
χ412222-2-22222-2-22-22-22-22-22-2002200-2-22-2000000020-2-2200000000002-200000000000000
χ422222-2-22222-2-22-22-22-22-22-2002200-2-2-22000000020-22-20000000000-2200000000000000
χ432222-2-22222-2-22-22-22-22-22-200-2-200222-20000000-202-220000000000-2200000000000000
χ442222-2-22222-2-22-22-22-22-22-200-2-20022-220000000-2022-200000000002-200000000000000
χ452222-2-222-2-2-2-22-222-22-22-22002200-2-2002-200000-202002-2000000000000002-200000000
χ462222-2-222-2-2-2-22-222-22-22-22002200-2-200-2200000-20200-2200000000000000-2200000000
χ472222-2-222-2-2-2-22-222-22-22-2200-2-20022002-20000020-2002-200000000000000-2200000000
χ482222-2-222-2-2-2-22-222-22-22-2200-2-2002200-220000020-200-22000000000000002-200000000
χ492222-2-2-2-2-2-22-222-2-2-2-2222200000000002-2002-2000000-2200-220000000000000000002-2
χ502222-2-2-2-2-2-22-222-2-2-2-2222200000000002-200-22000000-22002-2000000000000000000-22
χ512222-2-2-2-2-2-22-222-2-2-2-222220000000000-22002-20000002-200-22000000000000000000-22
χ522222-2-2-2-2-2-22-222-2-2-2-222220000000000-2200-220000002-2002-20000000000000000002-2
χ5344444444-4-44-4-4-4-4-4444-4-44000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-444-4-44-444-44-4000000000000000000000000000000000000000000000000
χ554444-4-444-4-4-44-44-444-444-4-4000000000000000000000000000000000000000000000000
χ564444-4-4-4-44444-4-444-4-44-4-44000000000000000000000000000000000000000000000000
χ574444-4-4-4-4444-444-4444-4-4-4-4000000000000000000000000000000000000000000000000
χ584444-4-4-4-4-4-444-4-44-444-444-4000000000000000000000000000000000000000000000000
χ5988-8-800008-80000000000000000000000000000000000000000004i−4i0000000000000000
χ6088-8-800008-8000000000000000000000000000000000000000000−4i4i0000000000000000
χ6188-8-80000-8800000000000000000000000000000000000000004-4000000000000000000
χ6288-8-80000-880000000000000000000000000000000000000000-44000000000000000000
χ638-88-8008-8000000000000004-4004-4000000000000000000000000000000000000000000
χ648-88-8008-800000000000000-4400-44000000000000000000000000000000000000000000
χ658-88-800-88000000000000004-400-44000000000000000000000000000000000000000000
χ668-88-800-8800000000000000-44004-4000000000000000000000000000000000000000000
χ678-8-888-80000000000000000004-4004-40000000000000000000000000000000000000000
χ688-8-888-8000000000000000000-4400-440000000000000000000000000000000000000000
χ698-8-88-880000000000000000004-400-440000000000000000000000000000000000000000
χ708-8-88-88000000000000000000-44004-40000000000000000000000000000000000000000

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