Finite Group Databasebeta

← Group #288687

Character table — Group #288687

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488888888888882444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-11111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1
χ51111111111111111111-1-1-1-1111111-1-11-1-111111-1-11-1-1-1-111-1-1
χ61111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1111111-1-1-111-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-11-1-1-1-1-111-111-1-11-1-1-1-11-1-1-1-11111
χ9111111111111111-1-1-1-111-1-1-1111111-111-1-1-11-1-11-1111-1-1-1-11-1
χ10111111111111111-1-1-1-111-1-1-11111-11-1-11-1-1-1-1111-1-1-1-11111-11
χ11111111111111111-1-1-1-111-1-1-1-1-1-1-11-111-1111-1-1-11-1-1-1-111111-1
χ12111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111111-1111-1-1-1-1-11
χ13111111111111111-1-1-1-1-1-111-111111-111-11-1-11-1-1-111-1-111-1-1-11
χ14111111111111111-1-1-1-1-1-111-11111-1-11-1-11-1-1-111-11-111-1-1111-1
χ15111111111111111-1-1-1-1-1-111-1-1-1-1-111-111-111-1-1-1-11-111-1-111-11
χ16111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-111111-111-1-111-1-11-1
χ172222222-2222-2-2-2-222-2-222-2-22000000000000000-22000000000
χ182222222-2222-2-2-2-222-2-2-2-22220000000000000002-2000000000
χ192222222-2222-2-2-2-2-2-2222222-2000000000000000-2-2000000000
χ202222222-2222-2-2-2-2-2-222-2-2-2-2-200000000000000022000000000
χ21222222-2-2-2-2-2-22-220000000002i2i−2i−2i0000000002i−2i00000002-200
χ22222222-2-2-2-2-2-22-220000000002i2i−2i−2i000000000−2i2i0000000-2200
χ23222222-2-2-2-2-2-22-22000000000−2i−2i2i2i0000000002i−2i0000000-2200
χ24222222-2-2-2-2-2-22-22000000000−2i−2i2i2i000000000−2i2i00000002-200
χ252222-2-222-22-22-2-22222-20000-200000220-2-20000000000000000
χ262222-2-222-22-22-2-22222-20000-200000-2-20220000000000000000
χ272222-2-222-22-22-2-22-2-2-2200002000002-20-220000000000000000
χ282222-2-222-22-22-2-22-2-2-220000200000-2202-20000000000000000
χ292222-2-22-2-22-2-222-222-220000-22i−2i2i−2i0000002i−2i00000000000000
χ302222-2-22-2-22-2-222-222-220000-2−2i2i−2i2i000000−2i2i00000000000000
χ312222-2-22-2-22-2-222-2-2-22-2000022i−2i2i−2i000000−2i2i00000000000000
χ322222-2-22-2-22-2-222-2-2-22-200002−2i2i−2i2i0000002i−2i00000000000000
χ332222-2-2-222-2222-2-20000000002-2-22200-2000020000-200000000
χ342222-2-2-222-2222-2-20000000002-2-22-20020000-20000200000000
χ352222-2-2-222-2222-2-2000000000-222-2200-20000-20000200000000
χ362222-2-2-222-2222-2-2000000000-222-2-2002000020000-200000000
χ37444444-44-4-4-44-44-400000000000000000000000000000000000
χ384444-4-4-4-44-44-4-44400000000000000000000000000000000000
χ394-44-44-4404-4-4000000004-400000000000000000000000000000
χ404-44-44-4404-4-400000000-4400000000000000000000000000000
χ414-44-44-4-40-4440000000000000000000000000000000002i2−2i20000
χ424-44-44-4-40-444000000000000000000000000000000000−2i22i20000
χ434-44-4-4440-4-4400000000004i−4i000000000000000000000000000
χ444-44-4-4440-4-440000000000−4i4i000000000000000000000000000
χ454-44-4-44-4044-400000000000000000000000000000002i2−2i2000000
χ464-44-4-44-4044-40000000000000000000000000000000−2i22i2000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-8-880008000-800000000000000000000000000000000000000
χ508-8-88000-8000800000000000000000000000000000000000000

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