Finite Group Databasebeta

← Group #284978

Character table — Group #284978

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444422244444888888888888882444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-11
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1
χ511111111111111111-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1
χ611111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11
χ711111111111111111-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111-1-11-1-1
χ811111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-111
χ9111111111111111-1-1111-1-1111-1-111-1-1111111-1-1-1-111-1-1-1-1111-11-1
χ10111111111111111-1-1111-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ11111111111111111-1-1111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1
χ12111111111111111-1-1111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111111-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-11-1-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-11111-1
χ1722222222-222-2-2-2-22222-2-2-2-2000000000000000000002-200000000
χ1822222222-222-2-2-2-222-2-22-2-2200000000000000000000-2200000000
χ1922222222-222-2-2-2-2-2-222-222-200000000000000000000-2200000000
χ2022222222-222-2-2-2-2-2-2-2-22222000000000000000000002-200000000
χ21222222-2-2-2-2-2-22-2200000000002i−2i002i−2i000000002-200000002i−2i000
χ22222222-2-2-2-2-2-22-2200000000002i−2i002i−2i00000000-220000000−2i2i000
χ23222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i000000002-20000000−2i2i000
χ24222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i00000000-2200000002i−2i000
χ252222-2-22-222-22-2-22002-2-20022200-2-2000022-2-20000000000000000
χ262222-2-22-222-22-2-22002-2-2002-2-200220000-2-2220000000000000000
χ272222-2-22-222-22-2-2200-22200-22200-2-20000-2-2220000000000000000
χ282222-2-22-222-22-2-2200-22200-2-2-20022000022-2-20000000000000000
χ292222-2-22-2-22-2-222-2002-2200-2002i−2i00−2i2i000000000000002i−2i000000
χ302222-2-22-2-22-2-222-2002-2200-200−2i2i002i−2i00000000000000−2i2i000000
χ312222-2-22-2-22-2-222-200-22-2002002i−2i00−2i2i00000000000000−2i2i000000
χ322222-2-22-2-22-2-222-200-22-200200−2i2i002i−2i000000000000002i−2i000000
χ332222-2-2-222-2222-2-200000000002200-2-2220000-2200000000-200000
χ342222-2-2-222-2222-2-200000000002200-2-2-2-200002-200000000200000
χ352222-2-2-222-2222-2-20000000000-2-200222200002-200000000-200000
χ362222-2-2-222-2222-2-20000000000-2-20022-2-20000-2200000000200000
χ37444444-4-44-4-44-44-400000000000000000000000000000000000000
χ384444-4-4-44-4-44-4-44400000000000000000000000000000000000000
χ3944-4-44-4440-4-400004-4000000000000000000000000000000000000
χ4044-4-44-4440-4-40000-44000000000000000000000000000000000000
χ4144-4-44-4-4-40440000000000002i2−2i2002i2−2i2000000000000000000000000
χ4244-4-44-4-4-4044000000000000−2i22i200−2i22i2000000000000000000000000
χ4344-4-4-444-40-440000000004i−4i0000000000000000000000000000000
χ4444-4-4-444-40-44000000000−4i4i0000000000000000000000000000000
χ4544-4-4-44-4404-40000000000002i2−2i200−2i22i2000000000000000000000000
χ4644-4-4-44-4404-4000000000000−2i22i2002i2−2i2000000000000000000000000
χ474-4-440000400-400000000000000000002i2−2i2002i2−2i200002-20000000000
χ484-4-440000400-400000000000000000002i2−2i200−2i22i20000-220000000000
χ494-4-440000400-40000000000000000000−2i22i2002i2−2i20000-220000000000
χ504-4-440000400-40000000000000000000−2i22i200−2i22i200002-20000000000
χ518-88-8000000000000000000000000000004i−4i000000000000000000
χ528-88-800000000000000000000000000000−4i4i000000000000000000
χ538-8-880000-800800000000000000000000000000000000000000000

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