Finite Group Databasebeta

← Group #250268

Character table — Group #250268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888881616161616161616161616161616161616161632
order12222244444444424444444448888888822244444444888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111-1111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-11
χ511111111111111111-1-11-1-111111-1-11111-1-1-1-11-1-1-1-1-1-1111-11111-1
χ611111111111111111-1-11-1-111111-1-1-1-1-1-1-1-11-11-111111-1-11-1-1-1-1-11
χ711111111111111111-1-11-1-11-1-1-1-1111111-1-1-11-11-1-1-111-1-1-11-1-1111
χ811111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111-11111-1-111-1111-1-1-1
χ9111111111111111-1-111-111-111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-1-1-11
χ10111111111111111-1-111-111-111-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1
χ11111111111111111-1-111-111-1-1-111111111-1-11-1-1-11-1-111-1-11111-1-1-1
χ12111111111111111-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-11-1-1111111-11-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-11-1-1-1-1-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-111-1-1-1-11-111-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111111-1-1-111-1
χ17222222-222-222-2-2-22-200-200222-2-20000000000-2000000002000000
χ18222222-222-222-2-2-22-200-2002-2-2220000000000200000000-2000000
χ19222222-222-222-2-2-2-2200200-222220000000000-200000000-2000000
χ20222222-222-222-2-2-2-2200200-2-2-2-2-200000000002000000002000000
χ21222222-2-2-2-2-2-2-222002-202-20000000000000000002-2000000002-20
χ22222222-2-2-2-2-2-2-222002-202-2000000000000000000-2200000000-220
χ23222222-2-2-2-2-2-2-22200-220-220000000000000000002-200000000-220
χ24222222-2-2-2-2-2-2-22200-220-22000000000000000000-22000000002-20
χ252222-2-222-222-2-2-2200220-2-2000000022-2-2002000-20000000000000
χ262222-2-222-222-2-2-2200220-2-20000000-2-22200-200020000000000000
χ272222-2-222-222-2-2-2200-2-2022000000022-2-200-200020000000000000
χ282222-2-222-222-2-2-2200-2-20220000000-2-222002000-20000000000000
χ292222-2-22-222-22-22-22200-200-20000220000000-20200000000-200000
χ302222-2-22-222-22-22-22200-200-20000-2-2000000020-200000000200000
χ312222-2-22-222-22-22-2-2-2002002000022000000020-200000000-200000
χ322222-2-22-222-22-22-2-2-20020020000-2-20000000-20200000000200000
χ332222-2-2-2-22-2-222-222-22-22-22-200000000002-2000000000000000000
χ342222-2-2-2-22-2-222-222-2-2222-2-20000000000-22000000000000000000
χ352222-2-2-2-22-2-222-22-222-2-2-2220000000000-22000000000000000000
χ362222-2-2-2-22-2-222-22-22-22-22-2200000000002-2000000000000000000
χ374444444-4-44-4-44-4-400000000000000000000000000000000000000
χ384444-4-4-44-4-44-444-400000000000000000000000000000000000000
χ3944-4-400-4004000000000000000002i2−2i2002i2−2i20000000002-2000000000
χ4044-4-400-4004000000000000000002i2−2i200−2i22i2000000000-22000000000
χ4144-4-400-400400000000000000000−2i22i2002i2−2i2000000000-22000000000
χ4244-4-400-400400000000000000000−2i22i200−2i22i20000000002-2000000000
χ434-4-444-404-40-4400000000000004i−4i00000000000000000000000000
χ444-4-444-404-40-440000000000000−4i4i00000000000000000000000000
χ454-4-444-40-4404-4000000000000000000000000000000002i2−2i20000000
χ464-4-444-40-4404-400000000000000000000000000000000−2i22i20000000
χ474-4-44-440440-4-40000000000000000000000000000000000002i2−2i2000
χ484-4-44-440440-4-4000000000000000000000000000000000000−2i22i2000
χ494-4-44-440-4-4044000000000004-40000000000000000000000000000
χ504-4-44-440-4-404400000000000-440000000000000000000000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-88-800000000000000000000000004i−4i0000000000000000000000
χ538-88-80000000000000000000000000−4i4i0000000000000000000000

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