Finite Group Databasebeta

← Group #175605

Character table — Group #175605

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11-1-1111-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-11-1-1111-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ7111111111111111111-1-11-1-11-1-11-111-111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-11-1-11-111-1-1-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-1-1-11111111-1-1-1-11-111-11-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111111-1-1-1-11-111-11-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-11111111-1-1-1-1-11-111-1-111-111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-11111111-1-1-1-1-11-111-1-1-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-111-11-1-1-11-11111-11-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-111-11-1-1-11-11-1-11-111111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-111-1-111-1-11111-11-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-111-1-111-1-111-1-1-11-11111-1-111-1-1-1-111
χ172222222222222-2-2-22-200-200-20020-2-200000200000000000000
χ182222222222222-2-2-22-200-200-200-202200000-200000000000000
χ19222222222-2-2-2-2-2-2-22-200200200202-200000-200000000000000
χ20222222222-2-2-2-2-2-2-22-200200200-20-2200000200000000000000
χ2122222222-222-2-22-2-2-2200-2002220000000-2-2000000000000000
χ2222222222-222-2-22-2-2-2200-2002-2-2000000022000000000000000
χ2322222222-222-2-2-222-2-2222-2-2-2000-20020000000000000000000
χ2422222222-222-2-2-222-2-2-2-2222-2000200-20000000000000000000
χ2522222222-2-2-2222-2-2-2200200-22-20000000-22000000000000000
χ2622222222-2-2-2222-2-2-2200200-2-2200000002-2000000000000000
χ2722222222-2-2-222-222-2-222-2222000-200-20000000000000000000
χ2822222222-2-2-222-222-2-2-2-2-2-2-2200020020000000000000000000
χ2944-44-4-44-40004i−4i0000000000000000002-20002i−2i000000000000
χ3044-44-4-44-40004i−4i000000000000000000-22000−2i2i000000000000
χ3144-44-4-44-4000−4i4i0000000000000000002-2000−2i2i000000000000
χ3244-44-4-44-4000−4i4i000000000000000000-220002i−2i000000000000
χ3344-4-44-4-4440000000-40000000000000000000002i2−2i20000000000
χ3444-4-44-4-4440000000-4000000000000000000000−2i22i20000000000
χ3544-4-44-4-44-4000000040000000000000000000000022−2200000000
χ3644-4-44-4-44-40000000400000000000000000000000−222200000000
χ374-44-4-4-44404-400000000000000000000000000000002-22-20000
χ384-44-4-4-44404-40000000000000000000000000000000-22-220000
χ394-44-4-4-4440-4400000000000000000000000000000002-2-220000
χ404-44-4-4-4440-440000000000000000000000000000000-222-20000
χ414-4-44-44-440000004-4000004-4000000000000000000000000000
χ424-4-44-44-440000004-400000-44000000000000000000000000000
χ434-4-44-44-44000000-44004-4000000000000000000000000000000
χ444-4-44-44-44000000-4400-44000000000000000000000000000000
χ454-4-4-4444-4000004000-40000000000000000000000000000002i2−2i2
χ464-4-4-4444-4000004000-4000000000000000000000000000000−2i22i2
χ474-4-4-4444-400000-40004000000000000000000000000000022−2200
χ484-4-4-4444-400000-400040000000000000000000000000000−222200
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-8888-8-8-8000000000000000000000000000000000000000000

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