Finite Group Databasebeta

← Group #284956

Character table — Group #284956

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444424444444888888888888882444448888888488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111111111-1-1-1-1-1-11-1111-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-11
χ511111111111111111-1-111-1-111-1-11111-1-11111-1-1-1-111-11-1-1-111-1-11
χ611111111111111111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1
χ711111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-11-11111-1-1-1
χ811111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111
χ9111111111111111-1-111-1-1111111111111-1-1-1-111-1-1-1-1-11-1-1-1-1-11-11
χ10111111111111111-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11-1
χ11111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-11-111-1-11-1-1
χ12111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-111
χ13111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-1111111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111111-1-1-1-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1-1111-11
χ172222222-222-22-2-2-22-222-22-2-20000000000000000000020-20000000
χ182222222-222-22-2-2-22-2-2-2-222200000000000000000000-2020000000
χ192222222-222-22-2-2-2-22222-2-2-200000000000000000000-2020000000
χ202222222-222-22-2-2-2-22-2-22-2220000000000000000000020-20000000
χ21222222-2-2-2-2-2-22-2200000000002i−2i00002i−2i0000002-200000002i−2i000
χ22222222-2-2-2-2-2-22-2200000000002i−2i00002i−2i000000-220000000−2i2i000
χ23222222-2-2-2-2-2-22-220000000000−2i2i0000−2i2i0000002-20000000−2i2i000
χ24222222-2-2-2-2-2-22-220000000000−2i2i0000−2i2i000000-2200000002i−2i000
χ252222-2-222-222-2-2-222-2002-200220000-2-20022-2-20000000000000000
χ262222-2-222-222-2-2-222-2002-200-2-200002200-2-2220000000000000000
χ272222-2-222-222-2-2-22-2200-2200220000-2-200-2-2220000000000000000
χ282222-2-222-222-2-2-22-2200-2200-2-20000220022-2-20000000000000000
χ292222-2-22-2-22-2-222-22200-2-200002i−2i0000−2i2i00000000000002i−2i00000
χ302222-2-22-2-22-2-222-22200-2-20000−2i2i00002i−2i0000000000000−2i2i00000
χ312222-2-22-2-22-2-222-2-2-2002200002i−2i0000−2i2i0000000000000−2i2i00000
χ322222-2-22-2-22-2-222-2-2-200220000−2i2i00002i−2i00000000000002i−2i00000
χ332222-2-2-222-2222-2-20000000000222200-2-200002-200000-200000000
χ342222-2-2-222-2222-2-2000000000022-2-200-2-20000-2200000200000000
χ352222-2-2-222-2222-2-20000000000-2-22200220000-2200000-200000000
χ362222-2-2-222-2222-2-20000000000-2-2-2-2002200002-200000200000000
χ37444444-44-4-44-4-44-400000000000000000000000000000000000000
χ384444-4-4-4-44-4-44-44400000000000000000000000000000000000000
χ394-44-4000-400400000000000000002i2−2i200002i2−2i20000002-20000000000
χ404-44-4000-400400000000000000002i2−2i20000−2i22i2000000-220000000000
χ414-44-4000-40040000000000000000−2i22i200002i2−2i2000000-220000000000
χ424-44-4000-40040000000000000000−2i22i20000−2i22i20000002-20000000000
χ434-4-444-440-4-404000000000002i2−2i200002i2−2i20000000000000000000000
χ444-4-444-440-4-40400000000000−2i22i20000−2i22i20000000000000000000000
χ454-4-444-4-40440-4000004i−4i0000000000000000000000000000000000
χ464-4-444-4-40440-400000−4i4i0000000000000000000000000000000000
χ474-4-44-44404-40-4000000000002i2−2i20000−2i22i20000000000000000000000
χ484-4-44-44404-40-400000000000−2i22i200002i2−2i20000000000000000000000
χ494-4-44-44-40-44040000000004-4000000000000000000000000000000
χ504-4-44-44-40-4404000000000-44000000000000000000000000000000
χ5188-8-800000000000000000000000000000004-40000000000000000
χ5288-8-80000000000000000000000000000000-440000000000000000
χ538-88-8000800-8000000000000000000000000000000000000000000

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