Finite Group Databasebeta

← Group #263526

Character table — Group #263526

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444488888888888888161616161616161616161616161632323232
order12224488882444448822444444888888244444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11-11-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-11111-1-11111-1-1
χ9111111-1-1-1-1111111-1-111111111-1-1-1-1-1-11-1-1-11-111-1-1-1-1111-11-1
χ10111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-11-11
χ11111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-111-111-1-1-1-1-1-1-11-11
χ12111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1111-11-1-111-1-1-1-11-11-1
χ13111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-1-11
χ14111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1111-1-111-1-1-111-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-1111111-111-1
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-111111-1-11
χ1722222222222-2-22-2-2222-22-20000-2-2000000000000002-2000000
χ1822222222222-2-22-2-222-22-220000-2-200000000000000-22000000
χ192222222222-22-2-2-22-2-2000000002-200002020-2-2000000000000
χ202222222222-22-2-2-22-2-2000000002-20000-20-2022000000000000
χ212222222222-2-22-22-2-2-200000000-2200000000002-22-200000000
χ222222222222-2-22-22-2-2-200000000-220000000000-22-2200000000
χ23222222-2-2-2-22-2-22-2-2-2-22-22-200002200000000000000-22000000
χ24222222-2-2-2-22-2-22-2-2-2-2-22-22000022000000000000002-2000000
χ25222222-2-2-2-2-22-2-2-222200000000-22000020-20-22000000000000
χ26222222-2-2-2-2-22-2-2-222200000000-220000-20202-2000000000000
χ27222222-2-2-2-2-2-22-22-222000000002-200000000002-2-2200000000
χ28222222-2-2-2-2-2-22-22-222000000002-20000000000-222-200000000
χ292222-2-20000-2222-2-20022-2-22i2i−2i−2i0000000000000000002i−2i0000
χ302222-2-20000-2222-2-20022-2-2−2i−2i2i2i000000000000000000−2i2i0000
χ312222-2-20000-2222-2-200-2-2222i2i−2i−2i000000000000000000−2i2i0000
χ322222-2-20000-2222-2-200-2-222−2i−2i2i2i0000000000000000002i−2i0000
χ332222-2-20000-2-2-2222002-2-2200000022-2-2020-200000000000000
χ342222-2-20000-2-2-2222002-2-22000000-2-2220-20200000000000000
χ352222-2-20000-2-2-222200-222-200000022-2-20-20200000000000000
χ362222-2-20000-2-2-222200-222-2000000-2-222020-200000000000000
χ374444-4-4000044-4-44-40000000000000000000000000000000000
χ384444-4-400004-44-4-440000000000000000000000000000000000
χ394-44-44-400000000004-400002i−2i2i−2i002i−2i2i−2i000000000000000000
χ404-44-44-400000000004-40000−2i2i−2i2i00−2i2i−2i2i000000000000000000
χ414-44-44-40000000000-4400002i−2i2i−2i00−2i2i−2i2i000000000000000000
χ424-44-44-40000000000-440000−2i2i−2i2i002i−2i2i−2i000000000000000000
χ434-44-4-444i4i−4i−4i0000000000002-2-22002i−2i−2i2i000000000000000000
χ444-44-4-444i4i−4i−4i000000000000-222-200−2i2i2i−2i000000000000000000
χ454-44-4-44−4i−4i4i4i0000000000002-2-2200−2i2i2i−2i000000000000000000
χ464-44-4-44−4i−4i4i4i000000000000-222-2002i−2i−2i2i000000000000000000
χ4788-8-80042−4242−420000000000000000000000000000000000000000
χ4888-8-800−4242−42420000000000000000000000000000000000000000
χ498-8-88004i2−4i2−4i24i20000000000000000000000000000000000000000
χ508-8-8800−4i24i24i2−4i20000000000000000000000000000000000000000

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