Finite Group Databasebeta

← Group #245656

Character table — Group #245656

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444222444444442244444444444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-11-11-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1111-11-11-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-111-1-1-1-111-11-1111-11-111-11111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1111111
χ7111111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-1-1-1-1-1-1-1-111
χ8111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-11-11-1-1111111111-1-1
χ9111111111-1-1111-111-1-111-1-11111-111-11-1-1-1-1-111-1-111-1-11-1
χ10111111111-1-1111-111-1-111-1-1111-1-1-11111-1-1-1-1-1-111-1-111-11
χ11111111111-1-1111-111-1-111-1-1-1-1-11-11-1-1-1-11111-1-11111-1-1-11
χ12111111111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1111-1
χ13111111111-1-1111-1-1-1-1-1-1-11111-11111-1-1-11-1-1111-1-1-1-111-11
χ14111111111-1-1111-1-1-1-1-1-1-11111-1-11-111-111-1-11-1-11111-1-11-1
χ15111111111-1-1111-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-111-1-1111-1
χ16111111111-1-1111-1-1-1-1-1-1-111-1-11-11-1-1111-111-111-1-111-1-1-11
χ1722222222-222-2-2-2-200-220000220000-200002-200000000000
χ1822222222-222-2-2-2-200-220000-2-2000020000-2200000000000
χ1922222222-2-2-2-2-2-22002-20000220000-20000-2200000000000
χ2022222222-2-2-2-2-2-22002-20000-2-20000200002-200000000000
χ21222222-2-2222-2-22-2222-2-2-2220000-20000000000000000000
χ22222222-2-2222-2-22-2-2-22-222-2-2000020000000000000000000
χ23222222-2-22-2-2-2-22222-22-2-2-2-2000020000000000000000000
χ24222222-2-22-2-2-2-222-2-2-2222220000-20000000000000000000
χ25222222-2-2-22222-2200-2-2000000200000-20200-20000000000
χ26222222-2-2-22222-2200-2-2000000-20000020-20020000000000
χ27222222-2-2-2-2-222-2-20022000000200000-20-20020000000000
χ28222222-2-2-2-2-222-2-20022000000-20000020200-20000000000
χ292222-2-22-2-2002-2202-2002-200000000020-200000000002-200
χ302222-2-22-2-2002-2202-2002-2000000000-2020000000000-2200
χ312222-2-22-2-2002-220-2200-2200000000020-20000000000-2200
χ322222-2-22-2-2002-220-2200-22000000000-20200000000002-200
χ332222-2-2-22-200-22202-200-220000020-20000000000002-20000
χ342222-2-2-22-200-22202-200-2200000-202000000000000-220000
χ352222-2-2-22-200-2220-22002-20000020-2000000000000-220000
χ362222-2-2-22-200-2220-22002-200000-2020000000000002-20000
χ374444-4-44-4400-44-4000000000000000000000000000000000
χ384444-4-4-444004-4-4000000000000000000000000000000000
χ3944-4-4-440004i−4i000000000000000000000000002i−2i2-2000000
χ4044-4-4-440004i−4i00000000000000000000000000−2i2i-22000000
χ4144-4-4-44000−4i4i000000000000000000000000002i−2i-22000000
χ4244-4-4-44000−4i4i00000000000000000000000000−2i2i2-2000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-8000000000000000004i−4i000000000000000000000000
χ458-88-800000000000000000−4i4i000000000000000000000000
χ468-8-8800000000000000000004-40000000000000000000000
χ478-8-880000000000000000000-440000000000000000000000

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