Finite Group Databasebeta

← Group #250301

Character table — Group #250301

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888881616161616161616161616161616161616161632
order12222244444444422244444448888888822224444444888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1111-11-11-1-1-1-11-1-11-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1111111-11-11-111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111-111-1-11
χ511111111111111111-1-111-1-111-1-1-1-11111-1-111111-1-1-1-1-111-1-1-1-1-11
χ611111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111111-1-1-1-11111-1
χ711111111111111111-1-111-1-1-1-111111111-1-1-11-11-1-1-1111-1-1111-1-1-1
χ811111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111
χ9111111111111111-1-111-1-1111111-1-11111-1-11-1-1-1-1-1-1-1-1111-11111-1
χ10111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-1-11
χ11111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-11-11-1-111-1-1-11-1-1111
χ12111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-111111-1-1-1
χ13111111111111111-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-11111-1111-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1111-1-11-1-1-111-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-111111-1-1-111-1
χ172222222-222-22-2-2-2002-2002-2222200000000-200000000-200000000
χ182222222-222-22-2-2-2002-2002-2-2-2-2-200000000200000000200000000
χ192222222-222-22-2-2-200-2200-2222-2-200000000-200000000200000000
χ202222222-222-22-2-2-200-2200-22-2-22200000000200000000-200000000
χ21222222-2-2-2-2-2-2-2222-2002-200000000000000000002-2000000002-20
χ22222222-2-2-2-2-2-2-2222-2002-20000000000000000000-2200000000-220
χ23222222-2-2-2-2-2-2-222-2200-2200000000000000000002-200000000-220
χ24222222-2-2-2-2-2-2-222-2200-220000000000000000000-22000000002-20
χ252222-2-222-222-2-2-222200-2-20000000022-2-200020-200000000000000
χ262222-2-222-222-2-2-222200-2-200000000-2-222000-20200000000000000
χ272222-2-222-222-2-2-22-2-200220000000022-2-2000-20200000000000000
χ282222-2-222-222-2-2-22-2-2002200000000-2-22200020-200000000000000
χ292222-2-2-222-222-22-2002-200-2200002200000000-2020000000-200000
χ302222-2-2-222-222-22-2002-200-220000-2-20000000020-20000000200000
χ312222-2-2-222-222-22-200-22002-20000220000000020-20000000-200000
χ322222-2-2-222-222-22-200-22002-20000-2-200000000-2020000000200000
χ332222-2-2-2-22-2-222-222-222-22-2-200000000002-2000000000000000000
χ342222-2-2-2-22-2-222-222-2-2-2-22220000000000-22000000000000000000
χ352222-2-2-2-22-2-222-22-22222-2-2-20000000000-22000000000000000000
χ362222-2-2-2-22-2-222-22-22-2-22-22200000000002-2000000000000000000
χ37444444-44-4-44-44-4-400000000000000000000000000000000000000
χ384444-4-44-4-44-4-444-400000000000000000000000000000000000000
χ394-44-44-440-4-4040000000000000000000000000000000002i2−2i2000000
χ404-44-44-440-4-404000000000000000000000000000000000−2i22i2000000
χ414-44-44-4-40440-400000000000004i−4i00000000000000000000000000
χ424-44-44-4-40440-40000000000000−4i4i00000000000000000000000000
χ434-44-4-44404-40-4000000000004i−4i0000000000000000000000000000
χ444-44-4-44404-40-400000000000−4i4i0000000000000000000000000000
χ454-44-4-44-40-440400000000000000000000000000000000000022−22000
χ464-44-4-44-40-4404000000000000000000000000000000000000−2222000
χ474-4-44000-4004000000000000000022−2222−22000000000002-2000000000
χ484-4-44000-4004000000000000000022−22−222200000000000-22000000000
χ494-4-44000-40040000000000000000−222222−2200000000000-22000000000
χ504-4-44000-40040000000000000000−2222−2222000000000002-2000000000
χ5188-8-80000000000000000000000000004i−4i00000000000000000000
χ5288-8-8000000000000000000000000000−4i4i00000000000000000000
χ538-8-88000800-8000000000000000000000000000000000000000000

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