Finite Group Databasebeta

← Group #176134

Character table — Group #176134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-1-11-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-11-1-1-11-1-1-1-11-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-11-1-1-1-11-111-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-111-1-1-1111-11-11-1-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-111-1-1-1111-11-11-1-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-111-1-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-111
χ12111111111-1-11-1-11111-111-1-1-1-1-11-1-11-1111-1-11111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111-1-11-1-11111-1-1-1-1111-1-111-1-1-111-1-111-1-11111-1-111-1-1
χ15111111111-1-11-1-11111-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-111-11-11-1111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2-22222200-2-20000000000000000000000
χ1822222222222-2-2-2-2-22-2-2-2-22-2-200220000000000000000000000
χ19222222222-2-2-222-2-22-2222-2-2-200-220000000000000000000000
χ20222222222-2-2-222-2-22-22-2-2-222002-20000000000000000000000
χ2122222222-222222-2-2-22-200-200020000-202-20000000000000000
χ2222222222-222222-2-2-22-200-2000-2000020-220000000000000000
χ2322222222-222-2-2-222-2-2200-2002000-2-202000000000000000000
χ2422222222-222-2-2-222-2-2200-200-2000220-2000000000000000000
χ2522222222-2-2-22-2-2-2-2-22200200020000-20-220000000000000000
χ2622222222-2-2-22-2-2-2-2-222002000-20000202-20000000000000000
χ2722222222-2-2-2-22222-2-2-2002002000-220-2000000000000000000
χ2822222222-2-2-2-22222-2-2-200200-20002-202000000000000000000
χ2944-444-4-4-440000000-4004-400000000000000000000000000000
χ3044-444-4-4-440000000-400-4400000000000000000000000000000
χ3144-444-4-4-4-400000004000004i−4i00000000000000000000000000
χ3244-444-4-4-4-40000000400000−4i4i00000000000000000000000000
χ3344-4-4-444-404i−4i000000000000000000000002-22i−2i000000000000
χ3444-4-4-444-404i−4i00000000000000000000000-22−2i2i000000000000
χ3544-4-4-444-40−4i4i000000000000000000000002-2−2i2i000000000000
χ3644-4-4-444-40−4i4i00000000000000000000000-222i−2i000000000000
χ374-444-4-44-400004i−4i0000000000000000000000002-22i−2i00000000
χ384-444-4-44-400004i−4i000000000000000000000000-22−2i2i00000000
χ394-444-4-44-40000−4i4i0000000000000000000000002-2−2i2i00000000
χ404-444-4-44-40000−4i4i000000000000000000000000-222i−2i00000000
χ414-4-44-44-44000400000-40000000000000000000000002i2−2i2000000
χ424-4-44-44-44000400000-4000000000000000000000000−2i22i2000000
χ434-4-44-44-44000-40000040000000000000000000000000022−220000
χ444-4-44-44-44000-400000400000000000000000000000000−22220000
χ454-4-4-44-4440000004-40000000000000000000000000000000022−22
χ464-4-4-44-4440000004-400000000000000000000000000000000−2222
χ474-4-4-44-444000000-4400000000000000000000000000000022−2200
χ484-4-4-44-444000000-44000000000000000000000000000000−222200
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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