Finite Group Databasebeta

← Group #72312848

Character table — Group #72312848

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222224444444444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222224444222222444444222244442222224444444444888888884444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-11111111-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-111-1-11111-1-11-11-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-111-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ91111111111111111111111-1-111-1-11111-1-111-11-1111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111-1-111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ111111111111111111111111-1-111-1-111-1-11111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ121111111111111111111111-1-111-1-111-1-111-1-1-11-11-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ172222222222-2-222-2-22-2-2-2-22002200222-200000-20-22-20000000000002-200000000000000
χ182222222222-2-222-2-22-2-2-2-2200220022-2200000-20-2-22000000000000-2200000000000000
χ192222222222-2-222-2-22-2-2-2-2200-2-200-2-22-2000002022-2000000000000-2200000000000000
χ202222222222-2-222-2-22-2-2-2-2200-2-200-2-2-2200000202-220000000000002-200000000000000
χ2122222222-2-22-2-2-22-2-22-22-22000000002200000000-2-20000000022-2-2002-2000000000000
χ2222222222-2-22-2-2-22-2-22-22-22000000002200000000-2-200000000-2-22200-22000000000000
χ2322222222-2-22-2-2-22-2-22-22-2200000000-2-200000000220000000022-2-200-22000000000000
χ2422222222-2-22-2-2-22-2-22-22-2200000000-2-2000000002200000000-2-222002-2000000000000
χ2522222222-2-2-22-2-2-22-2-22-222000000002-200220000-2200-2-222-2-200000000000000000000
χ2622222222-2-2-22-2-2-22-2-22-222000000002-200-2-20000-220022-2-22200000000000000000000
χ2722222222-2-2-22-2-2-22-2-22-22200000000-22002200002-200-2-2-2-22200000000000000000000
χ2822222222-2-2-22-2-2-22-2-22-22200000000-2200-2-200002-2002222-2-200000000000000000000
χ29222222-2-2-2-2222222-2-2-2-2-2-2222222-2-2000000-22-2-20000000000000000002-20000000000
χ30222222-2-2-2-2222222-2-2-2-2-2-222-2-22222000000-2-2-22000000000000000000-220000000000
χ31222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2000000222-2000000000000000000-220000000000
χ32222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2220000002-2220000000000000000002-20000000000
χ33222222-2-2-2-2-2-222-2-2-22222-2002200-2-2002-2000-202002-200000000000000002-200000000
χ34222222-2-2-2-2-2-222-2-2-22222-2002200-2-200-22000-20200-220000000000000000-2200000000
χ35222222-2-2-2-2-2-222-2-2-22222-200-2-20022002-200020-2002-20000000000000000-2200000000
χ36222222-2-2-2-2-2-222-2-2-22222-200-2-2002200-2200020-200-2200000000000000002-200000000
χ372222-2-222222-22-2-22-222-2-2-22200-2-200000000-202000000000002i−2i2i−2i000000000000002i−2i
χ382222-2-222222-22-2-22-222-2-2-22200-2-200000000-20200000000000−2i2i−2i2i00000000000000−2i2i
χ392222-2-222222-22-2-22-222-2-2-2-2-200220000000020-2000000000002i−2i2i−2i00000000000000−2i2i
χ402222-2-222222-22-2-22-222-2-2-2-2-200220000000020-200000000000−2i2i−2i2i000000000000002i−2i
χ412222-2-222-2-222-22-2-222-2-22-200000000002200000000-2-20000002i−2i−2i2i00000000002i−2i0000
χ422222-2-222-2-222-22-2-222-2-22-200000000002200000000-2-2000000−2i2i2i−2i0000000000−2i2i0000
χ432222-2-222-2-222-22-2-222-2-22-20000000000-2-200000000220000002i−2i−2i2i0000000000−2i2i0000
χ442222-2-222-2-222-22-2-222-2-22-20000000000-2-20000000022000000−2i2i2i−2i00000000002i−2i0000
χ452222-2-2-2-222-2-2-2222-22-2-22200000000002-200000000-22002-22-20000000000002-2000000
χ462222-2-2-2-222-2-2-2222-22-2-22200000000002-200000000-2200-22-22000000000000-22000000
χ472222-2-2-2-222-2-2-2222-22-2-2220000000000-22000000002-2002-22-2000000000000-22000000
χ482222-2-2-2-222-2-2-2222-22-2-2220000000000-22000000002-200-22-220000000000002-2000000
χ492222-2-2-2-2-2-22-22-2-222-2-22222200-2-20000000020-200000002-2-2200000000000000002-200
χ502222-2-2-2-2-2-22-22-2-222-2-22222200-2-20000000020-20000000-222-20000000000000000-2200
χ512222-2-2-2-2-2-22-22-2-222-2-2222-2-2002200000000-20200000002-2-220000000000000000-2200
χ522222-2-2-2-2-2-22-22-2-222-2-2222-2-2002200000000-2020000000-222-200000000000000002-200
χ53444444-4-4444-4-4-44-44-44-44-4000000000000000000000000000000000000000000000000
χ54444444-4-444-44-4-4-4444-44-4-4000000000000000000000000000000000000000000000000
χ554444-4-44444-444-44-4-4-4-444-4000000000000000000000000000000000000000000000000
χ564444-4-444-4-4-4-4-44444-444-4-4000000000000000000000000000000000000000000000000
χ574444-4-4-4-44444-44-4-4-4-444-44000000000000000000000000000000000000000000000000
χ584444-4-4-4-4-4-4-444-44-4444-4-44000000000000000000000000000000000000000000000000
χ5988-8-800008i−8i000000000000004-4004i−4i0000000000000000000000000000000000000000
χ6088-8-800008i−8i00000000000000-4400−4i4i0000000000000000000000000000000000000000
χ6188-8-80000−8i8i000000000000004-400−4i4i0000000000000000000000000000000000000000
χ6288-8-80000−8i8i00000000000000-44004i−4i0000000000000000000000000000000000000000
χ638-88-8008-80000000000000000000000000000000000004-4000000000000000000000000
χ648-88-8008-8000000000000000000000000000000000000-44000000000000000000000000
χ658-88-800-88000000000000000000000000004-40000000000000000000000000000000000
χ668-88-800-8800000000000000000000000000-440000000000000000000000000000000000
χ678-8-888-800000000000000004-4004-4000000000000000000000000000000000000000000
χ688-8-888-80000000000000000-4400-44000000000000000000000000000000000000000000
χ698-8-88-8800000000000000004-400-44000000000000000000000000000000000000000000
χ708-8-88-880000000000000000-44004-4000000000000000000000000000000000000000000

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