Finite Group Databasebeta

← Group #72306730

Character table — Group #72306730

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size112222222444444888888888881616161616161616161616161616161616161616323232323232323232323232323232323232
order1222222224444442222222244422224444444444448888444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ9111-1-1-1-111-1-1111111-1-1-1-1111-1-1111-1-1-11-111-1-111-1-111-1-11-111-1-111-1-11-111-1-11-1
χ10111-1-1-1-111-1-1111111-1-1-1-1111-1-1111-1-1-11-1-1-11111-1-1-1-111-1111-1-1-1-111-11-1-1111-1
χ11111-1-1-1-111-1-1111111-1-1-1-1111-1-111-11-1-1-1111-1-111-1-1-1-111-11-1-11111-1-11-1-1-111-11
χ12111-1-1-1-111-1-1111111-1-1-1-1111-1-111-11-1-1-11-1-11111-1-111-1-11-1-1-111-1-111-1111-1-1-11
χ13111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-11-1111-111-1-1-1-11111-1-11-1-1-111-1-1111-1-1-1111-1
χ14111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-11-1111-1-1-111-1-111-1-111-11-1-11111-1-1-1111-1-11-1
χ15111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111-1-111-1111-1-1-1-1111-111-1-1-11
χ16111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-1111-11-1-111-1-11111-1-11-111-1-111-1-1-11-1-111-11
χ17222222222222222-2-2-2-2-2-2-2-222200000000000000002222-2-20000000000000000
χ18222222222222222-2-2-2-2-2-2-2-22220000000000000000-2-2-2-2220000000000000000
χ19222222222222-2-222-222-2-22-2-2-2-2000000002222000000000000000000-2-2000000
χ20222222222222-2-222-222-2-22-2-2-2-200000000-2-2-2-200000000000000000022000000
χ21222222222222-2-22-22-2-222-22-2-2-2002200220000000000000000000000000000-2-2
χ22222222222222-2-22-22-2-222-22-2-2-200-2-200-2-2000000000000000000000000000022
χ23222-2-2-2-222-2-22222-2-22222-2-22-2-2000000000000000022-2-2-220000000000000000
χ24222-2-2-2-222-2-22222-2-22222-2-22-2-20000000000000000-2-2222-20000000000000000
χ25222-2-2-2-222-2-22-2-222-2-2-2222-2-2220000000022-2-2000000000000000000-22000000
χ26222-2-2-2-222-2-22-2-222-2-2-2222-2-22200000000-2-2220000000000000000002-2000000
χ27222-2-2-2-222-2-22-2-22-2222-2-2-22-222002-2002-20000000000000000000000000000-22
χ28222-2-2-2-222-2-22-2-22-2222-2-2-22-22200-2200-2200000000000000000000000000002-2
χ2922-222-2-2-222-2-22222-22-22-2-22-22-22-2002-20000002-22-20000000000000000000000
χ3022-222-2-2-222-2-22222-22-22-2-22-22-2-2200-22000000-22-220000000000000000000000
χ3122-222-2-2-222-2-2222-22-22-222-2-22-2000000000000000000000000000000002-22-200
χ3222-222-2-2-222-2-2222-22-22-222-2-22-200000000000000000000000000000000-22-2200
χ3322-222-2-2-222-2-2-2-22222-2-22-2-22-22000000000000000000000000002i−2i2i−2i00000000
χ3422-222-2-2-222-2-2-2-22222-2-22-2-22-2200000000000000000000000000−2i2i−2i2i00000000
χ3522-222-2-2-222-2-2-2-22-2-2-222-2222-2200000000000000000000002-22-2000000000000
χ3622-222-2-2-222-2-2-2-22-2-2-222-2222-220000000000000000000000-22-22000000000000
χ3722-2-2-222-22-22-22222-2-22-22-22-2-222-200-220000002-2-220000000000000000000000
χ3822-2-2-222-22-22-22222-2-22-22-22-2-22-22002-2000000-222-20000000000000000000000
χ3922-2-2-222-22-22-2222-222-22-22-2-2-22000000000000000000000000000000002-2-2200
χ4022-2-2-222-22-22-2222-222-22-22-2-2-2200000000000000000000000000000000-222-200
χ4122-2-2-222-22-22-2-2-2222-222-2-2-222-2000000000000000000000000002i−2i−2i2i00000000
χ4222-2-2-222-22-22-2-2-2222-222-2-2-222-200000000000000000000000000−2i2i2i−2i00000000
χ4322-2-2-222-22-22-2-2-22-2-22-2-222222-200000000000000000000002-2-22000000000000
χ4422-2-2-222-22-22-2-2-22-2-22-2-222222-20000000000000000000000-222-2000000000000
χ45444444444-4-4-400-400000000000220022000000-2-2-2-20000000000000000000000
χ46444444444-4-4-400-400000000000-2-200-2-200000022220000000000000000000000
χ474444-44-4-4-400000000000000000002200-2-22i−2i2i−2i00002i−2i2i−2i000000000000000000
χ484444-44-4-4-400000000000000000002200-2-2−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ494444-44-4-4-40000000000000000000-2-200222i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ504444-44-4-4-40000000000000000000-2-20022−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ51444-44-44-4-400000000000000000002-200-222i−2i−2i2i00002i−2i−2i2i000000000000000000
χ52444-44-44-4-400000000000000000002-200-22−2i2i2i−2i0000−2i2i2i−2i000000000000000000
χ53444-44-44-4-40000000000000000000-22002-22i−2i−2i2i0000−2i2i2i−2i000000000000000000
χ54444-44-44-4-40000000000000000000-22002-2−2i2i2i−2i00002i−2i−2i2i000000000000000000
χ55444-4-4-4-44444-400-4000000000002200-2-2000000-2-2220000000000000000000000
χ56444-4-4-4-44444-400-400000000000-2-2002200000022-2-20000000000000000000000
χ5744-444-4-4-44-44400-4000000000002-2002-2000000-22-220000000000000000000000
χ5844-444-4-4-44-44400-400000000000-2200-220000002-22-20000000000000000000000
χ5944-4-4-444-444-4400-4000000000002-200-22000000-222-20000000000000000000000
χ6044-4-4-444-444-4400-400000000000-22002-20000002-2-220000000000000000000000
χ6188-88-8-888-80000000000000000000000000000000000000000000000000000000
χ6288-8-888-88-80000000000000000000000000000000000000000000000000000000
χ6316-1600000000008-800000000000000000000000000000000000000000000000000
χ6416-160000000000-8800000000000000000000000000000000000000000000000000

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