Finite Group Databasebeta

← Group #267441

Character table — Group #267441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444888888888888888161616161616161616161616161616161616161632
order12222222224444444244444444448888222444444444448888884
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ511111111111111111-1111-1-1-111-1-11111-11-1-1111-1111-1-1-11-11-1-1-1-1
χ611111111111111111-1111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-11111
χ711111111111111111-1111-1-1-1-1-1111111-1-11-111-11-1-1-1111-11-11-1-1-1
χ811111111111111111-1111-1-1-1-1-111-1-1-1-1-11-1-1-1-11-1-1-1-11111-11-1111
χ9111111111111-1-11111-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1111111-1
χ10111111111111-1-11111-1-1-11111111-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-11
χ11111111111111-1-11111-1-1-1111-1-1-1-11111-111-1-1-111-111-111-1-1-1-111-1
χ12111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1111111-1-11
χ13111111111111-1-1111-1-1-1-1-1-1-111-1-111111-111-1-1-111-1-1-1111-11-1-1-11
χ14111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-11-1-1-111-11-1111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1111-1-1-11-11-1-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-11-1111-1-11-11-111-1
χ172222222222-2-200-2-2-22000-22-222-2-2000000000000-2002000000000
χ182222222222-2-200-2-2-22000-22-2-2-222000000000000200-2000000000
χ192222222222-2-200-2-2-2-20002-222222000000000000-200-2000000000
χ202222222222-2-200-2-2-2-20002-22-2-2-2-20000000000002002000000000
χ2122222-2-22-2-22222-2-2222-2-2-2-2200000000-200200000000000000000
χ2222222-2-22-2-22222-2-22-22-2-222-200000000200-200000000000000000
χ2322222-2-22-2-222-2-2-2-222-222-2-2200000000200-200000000000000000
χ2422222-2-22-2-222-2-2-2-22-2-22222-200000000-200200000000000000000
χ2522222-2-22-2-2-2-20022-220002-2-2000000000000000002i−2i02i−2i0000000
χ2622222-2-22-2-2-2-20022-220002-2-200000000000000000−2i2i0−2i2i0000000
χ2722222-2-22-2-2-2-20022-2-2000-222000000000000000002i−2i0−2i2i0000000
χ2822222-2-22-2-2-2-20022-2-2000-22200000000000000000−2i2i02i−2i0000000
χ292222-22-2-22-222222-2-20-22-200000000000020000-20000000-2020000
χ302222-22-2-22-222222-2-20-22-2000000000000-200002000000020-20000
χ312222-22-2-22-222-2-22-2-202-2200000000000020000-2000000020-20000
χ322222-22-2-22-222-2-22-2-202-22000000000000-2000020000000-2020000
χ332222-2-22-2-222222-22-20-2-22000000000000020000-20000000-202000
χ342222-2-22-2-222222-22-20-2-220000000000000-200002000000020-2000
χ352222-2-22-2-2222-2-2-22-2022-2000000000000020000-2000000020-2000
χ362222-2-22-2-2222-2-2-22-2022-20000000000000-2000020000000-202000
χ374444-44-4-44-4-4-400-444000000000000000000000000000000000000
χ384444-4-44-4-44-4-4004-44000000000000000000000000000000000000
χ394-44-40000004-44i−4i000000000000002i2i−2i−2i00002-2000000000000000
χ404-44-40000004-44i−4i00000000000000−2i−2i2i2i0000-22000000000000000
χ414-44-40000004-4−4i4i000000000000002i2i−2i−2i0000-22000000000000000
χ424-44-40000004-4−4i4i00000000000000−2i−2i2i2i00002-2000000000000000
χ434-4-4444-4-4-4400000000000000004i−4i0000000000000000000000000
χ444-4-4444-4-4-440000000000000000−4i4i0000000000000000000000000
χ454-4-444-44-44-4000000000000004i−4i000000000000000000000000000
χ464-4-444-44-44-400000000000000−4i4i000000000000000000000000000
χ474-4-44-4444-4-400000000000000000000000000000000000000002i2−2i20
χ484-4-44-4444-4-40000000000000000000000000000000000000000−2i22i20
χ494-4-44-4-4-444400000000000000000022−2222−22000000000000000000000
χ504-4-44-4-4-4444000000000000000000−2222−2222000000000000000000000
χ5188-8-80000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5288-8-8000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ538-88-8000000-8800000000000000000000000000000000000000000

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