Finite Group Databasebeta

← Group #250332

Character table — Group #250332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444888888888161616161616161616161616161616161616161616161632
order12224424444444224444488222244444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1111-1
χ3111111111111111111111-1-11-1-11-1111-11-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-11
χ5111111111111111-11-11-1-111-1-1-11-11-1-1-1-1-1-1-111-111-1-11111
χ6111111111111111-11-11-1-111-1-1-1-1-1-11-1-11111-1-11-1-111111-1
χ7111111111111111-11-11-1-1-1-1-111111-1-11-111-111-1-1-111-1-1-1-1
χ8111111111111111-11-11-1-1-1-1-111-11-11-111-1-11-1-1111-1-1-1-1-11
χ911111111-1-11111-11-11-11111-1-1-11111-111-1-1-1-1-1-1-1-1111-1-11
χ1011111111-1-11111-11-11-11111-1-1-1-11-1-1-11-111111111-1-11-1-1-1
χ1111111111-1-11111-11-11-111-1-1-1111-111-1-1111-1-1-1-111-1-1-111-1
χ1211111111-1-11111-11-11-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-111-1111
χ1311111111-1-11111-1-1-1-1-1-1-1111111-11-11-1-1111-1-11-1-1-1-11-1-11
χ1411111111-1-11111-1-1-1-1-1-1-111111-1-1-111-11-1-1-111-111111-1-1-1
χ1511111111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1-11-1-111111-111-1
χ1611111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1111111-111-1-1-1-1-1-1111
χ172222222-222-22-2-2-2020-2000000020-200000002-2000000000
χ182222222-222-22-2-2-2020-20000000-2020000000-22000000000
χ192222222-2-2-2-22-2-220-202000000020-20000000-22000000000
χ202222222-2-2-2-22-2-220-2020000000-20200000002-2000000000
χ21222222-2222-2-2-2222-2-2-22-200-200000020000000000000000
χ22222222-2222-2-2-222-2-22-2-22002000000-20000000000000000
χ23222222-22-2-2-2-2-22-222-222-2002000000-20000000000000000
χ24222222-22-2-2-2-2-22-2-2222-2200-200000020000000000000000
χ25222222-2-2222-22-2-20-2020000000000200-200-200200000000
χ26222222-2-2222-22-2-20-2020000000000-200200200-200000000
χ27222222-2-2-2-22-22-22020-20000000000200-200200-200000000
χ28222222-2-2-2-22-22-22020-20000000000-200200-200200000000
χ292222-2-22-200-2-22202020-2-20002-20000000000000000002-20
χ302222-2-22-200-2-22202020-2-2000-22000000000000000000-220
χ312222-2-22-200-2-2220-20-20220002-2000000000000000000-220
χ322222-2-22-200-2-2220-20-2022000-220000000000000000002-20
χ332222-2-2-2-20022-22020-20-22220000-2000200000000000-2000
χ342222-2-2-2-20022-22020-20-22-2-200002000-2000000000002000
χ352222-2-2-2-20022-220-20202-22200002000-200000000000-2000
χ362222-2-2-2-20022-220-20202-2-2-20000-20002000000000002000
χ374444-4-444004-4-4-4000000000000000000000000000000000
χ384444-4-4-4400-444-4000000000000000000000000000000000
χ394-44-44-4004i−4i000000000000000000000002-20000002i−2i0000
χ404-44-44-4004i−4i00000000000000000000000-22000000−2i2i0000
χ414-44-44-400−4i4i000000000000000000000002-2000000−2i2i0000
χ424-44-44-400−4i4i00000000000000000000000-220000002i−2i0000
χ4388-8-8000000000000000000000000000000000002i2−2i2000000
χ4488-8-800000000000000000000000000000000000−2i22i2000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88000000000000000004-4000000000000000000000000
χ478-8-8800000000000000000-44000000000000000000000000

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