Finite Group Databasebeta

← Group #500545

Character table — Group #500545

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222224444442244444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111-1-1111111111-1-1-11-1-1-1-11-11111-1-1-1-1
χ4111111111111111111111-1-111111-1-1-1-111-1-111-1-1-11-1-1-1-1-1-111
χ51111111111111111-1-11-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111
χ71111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-11-1-1-1-11-1-1-1-1-11111
χ81111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-11111111-1-1
χ911111111111-1-1-1-1111-1-1-111-111-1-1111111-1-11-11-1-1-111-1-11-11-1
χ1011111111111-1-1-1-1111-1-1-111-111-1-1-1-1-1-1-1-1-11-111-111-1-1111-1-11
χ1111111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-11-1-11-11-1111-1-1-11-11
χ1211111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-111-111-1
χ1311111111111-1-1-1-11-1-1-11111-1-1-111111111-1-11-11-1-1-1-1-111-11-11
χ1411111111111-1-1-1-11-1-1-11111-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-111-1
χ1511111111111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-11-1-11-11-11-1-1111-11-1
χ1611111111111-1-1-1-11-1-1-111-1-1-1-1-111-1-1-1-111111-1-111-111-1-11-1-11
χ172222222-2-22-222-2-2-20020022-20000000000-2000-220000000000
χ182222222-2-22-222-2-2-200200-2-2-2000000000020002-20000000000
χ192222222-2-22-2-2-222-200-20022200000000002000-2-20000000000
χ202222222-2-22-2-2-222-200-200-2-220000000000-2000220000000000
χ21222222-222-2-22222-200-20000-2000022-2-200020000-2000000000
χ22222222-222-2-22222-200-20000-20000-2-222000-200002000000000
χ23222222-222-2-2-2-2-2-2-200200002000022-2-2000-200002000000000
χ24222222-222-2-2-2-2-2-2-2002000020000-2-22200020000-2000000000
χ25222222-2-2-2-2222-2-2200-200002000000002200-22000-200000000
χ26222222-2-2-2-2222-2-2200-20000200000000-2-2002-2000200000000
χ27222222-2-2-2-22-2-22220020000-2000000002200-2-2000200000000
χ28222222-2-2-2-22-2-22220020000-200000000-2-20022000-200000000
χ292-22-22-222-2-2-2000022-20000002-2002i−2i2i−2i00000000002i−2i000000
χ302-22-22-222-2-2-2000022-20000002-200−2i2i−2i2i0000000000−2i2i000000
χ312-22-22-222-2-2-200002-22000000-22002i−2i2i−2i0000000000−2i2i000000
χ322-22-22-222-2-2-200002-22000000-2200−2i2i−2i2i00000000002i−2i000000
χ332-22-22-2-22-2220000-20002i−2i000002i−2i2i−2i−2i2i0000000000002-20000
χ342-22-22-2-22-2220000-20002i−2i000002i−2i−2i2i2i−2i000000000000-220000
χ352-22-22-2-22-2220000-2000−2i2i00000−2i2i2i−2i−2i2i000000000000-220000
χ362-22-22-2-22-2220000-2000−2i2i00000−2i2i−2i2i2i−2i0000000000002-20000
χ374444-4-400000004-4022022000-2-2-2-20000000000000000000000
χ384444-4-400000004-40-2-20-2-200022220000000000000000000000
χ394444-4-40000000-440220-2-2000-2-2220000000000000000000000
χ404444-4-40000000-440-2-202200022-2-20000000000000000000000
χ414-44-44-44-44-440000-40000000000000000000000000000000000
χ424-44-44-4-4-444-4000040000000000000000000000000000000000
χ434-44-4-44000004i−4i0002-202i−2i000-22−2i2i0000000000000000000000
χ444-44-4-44000004i−4i000-220−2i2i0002-22i−2i0000000000000000000000
χ454-44-4-4400000−4i4i0002-20−2i2i000-222i−2i0000000000000000000000
χ464-44-4-4400000−4i4i000-2202i−2i0002-2−2i2i0000000000000000000000
χ4788-8-8000000000000000004-4000000000000000000000000000
χ4888-8-800000000000000000-44000000000000000000000000000
χ498-8-8800000000000000000000000000004i−4i0000000000000000
χ508-8-880000000000000000000000000000−4i4i0000000000000000

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