Finite Group Databasebeta

← Group #178232

Character table — Group #178232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-111-1-11-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ5111111111111111111-1-111-1-11-1-11-1-1111-1-11111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-11-1-11-1-1-1-11-1-11-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-1-11-1-11111-11-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-11-1-111-1-1-11-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-1111111-1-1-1-11-1-111111-1-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-1111111-1-1-1-11-1-1111-1-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111-1-11-1-1111111-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-1-1111111-1-111-11-1-1-1-111-1-1-1-111-1-111
χ14111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ15111111111-1-11-1-11111-1-1-1-111-1-11-111111-1-11-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-111-1-11-111-1-11-1-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-200-220002002-2000-20000000000000000
χ1822222222222-2-2-2-2-22-200-22000-200-2200020000000000000000
χ19222222222-2-2-222-2-22-2002-2000200-22000-20000000000000000
χ20222222222-2-2-222-2-22-2002-2000-2002-200020000000000000000
χ2122222222-222222-2-2-2222-2-2-2-20020000000-2000000000000000
χ2222222222-222222-2-2-22-2-2-2-22200-200000002000000000000000
χ2322222222-222-2-2-222-2-2002-200200-20000200-200000000000000
χ2422222222-222-2-2-222-2-2002-200-20020000-200200000000000000
χ2522222222-2-2-22-2-2-2-2-2222222200-20000000-2000000000000000
χ2622222222-2-2-22-2-2-2-2-22-2-222-2-200200000002000000000000000
χ2722222222-2-2-2-22222-2-200-2200200-20000-200200000000000000
χ2822222222-2-2-2-22222-2-200-2200-20020000200-200000000000000
χ2944-444-4-4-4000400000-44-4000000000000000000000000000000
χ3044-444-4-4-4000400000-4-44000000000000000000000000000000
χ3144-444-4-4-4000-400000400004i−4i00000000000000000000000000
χ3244-444-4-4-4000-40000040000−4i4i00000000000000000000000000
χ3344-4-4-44-440000004-4000000000000000000000000000000002i2−2i2
χ3444-4-4-44-440000004-400000000000000000000000000000000−2i22i2
χ3544-4-4-44-44000000-440000000000000000000000000000002i2−2i200
χ3644-4-4-44-44000000-44000000000000000000000000000000−2i22i200
χ374-444-44-4-440000000-400000000000000000000022−220000000000
χ384-444-44-4-440000000-4000000000000000000000−22220000000000
χ394-444-44-4-4-400000004000000000000000000000002i2−2i200000000
χ404-444-44-4-4-40000000400000000000000000000000−2i22i200000000
χ414-44-44-4-4404i−4i00000000000000000002i−2i00002-2000000000000
χ424-44-44-4-4404i−4i0000000000000000000−2i2i0000-22000000000000
χ434-44-44-4-440−4i4i00000000000000000002i−2i0000-22000000000000
χ444-44-44-4-440−4i4i0000000000000000000−2i2i00002-2000000000000
χ454-4-4-4444-400004i−4i00000000000000000000000000002i−2i2-20000
χ464-4-4-4444-400004i−4i0000000000000000000000000000−2i2i-220000
χ474-4-4-4444-40000−4i4i00000000000000000000000000002i−2i-220000
χ484-4-4-4444-40000−4i4i0000000000000000000000000000−2i2i2-20000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ508-8-88-8-888000000000000000000000000000000000000000000

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