Finite Group Databasebeta

← Group #263813

Character table — Group #263813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222444444444488888888888881616161616161616161616161616161616163232
order12222244444444888888244488888888822244444444444888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-1111111-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111-1-1-1-1111111111-11-111-1-1-11-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-111-1-111-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-11-1-1111-111111-1-111-1-1
χ911111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-1-111-1-1-1-1111-1
χ1011111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-11-1111-1-1-1-111-1-1-1-1-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-11-1-111111-1-1-1-1-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11-1111-1-111-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111111-1-1-11111-1-11-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-11-1-11111111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-111-1-11111-11
χ17222222-2-222-22-2-22222-2-200000000-20000002002-200-20000000000
χ18222222-2-222-22-2-22222-2-200000000-2000000-200-220020000000000
χ19222222-2-222-22-2-2-2-2-2-222000000002000000200-2200-20000000000
χ20222222-2-222-22-2-2-2-2-2-222000000002000000-2002-20020000000000
χ21222222-2-2-2-2-2-22200000022-2-20000022-2-22000000-2000000000000
χ22222222-2-2-2-2-2-22200000022-2-200000-2-222-20000002000000000000
χ23222222-2-2-2-2-2-222000000-2-2220000022-2-2-20000002000000000000
χ24222222-2-2-2-2-2-222000000-2-22200000-2-2222000000-2000000000000
χ252222-2-22222-2-22-222-2-2222-2-220000-2000000000000000000-220000
χ262222-2-22222-2-22-222-2-222-222-20000-20000000000000000002-20000
χ272222-2-22222-2-22-2-2-222-2-22-2-22000020000000000000000002-20000
χ282222-2-22222-2-22-2-2-222-2-2-222-200002000000000000000000-220000
χ292222-2-2-2-2222-2-2222-2-2-2-20000000020000020-2-2000200000000000
χ302222-2-2-2-2222-2-2222-2-2-2-200000000200000-2022000-200000000000
χ312222-2-2-2-2222-2-22-2-2222200000000-20000020-22000-200000000000
χ322222-2-2-2-2222-2-22-2-2222200000000-200000-202-2000200000000000
χ332222-2-2-2-2-2-2222-20000002-22-22i2i−2i−2i0000000000000000000002i−2i00
χ342222-2-2-2-2-2-2222-20000002-22-2−2i−2i2i2i000000000000000000000−2i2i00
χ352222-2-2-2-2-2-2222-2000000-22-222i2i−2i−2i000000000000000000000−2i2i00
χ362222-2-2-2-2-2-2222-2000000-22-22−2i−2i2i2i0000000000000000000002i−2i00
χ3744444444-4-44-4-4-4000000000000000000000000000000000000000
χ384444-4-444-4-4-44-44000000000000000000000000000000000000000
χ3944-4-44-4000000002i2−2i22i2−2i20000002-22-20002i2−2i200000000000000000000
χ4044-4-44-4000000002i2−2i22i2−2i2000000-22-22000−2i22i200000000000000000000
χ4144-4-44-400000000−2i22i2−2i22i20000002-22-2000−2i22i200000000000000000000
χ4244-4-44-400000000−2i22i2−2i22i2000000-22-220002i2−2i200000000000000000000
χ4344-4-4-44000000002i2−2i2−2i22i20000002i−2i−2i2i022−220000000000000000000000
χ4444-4-4-44000000002i2−2i2−2i22i2000000−2i2i2i−2i0−22220000000000000000000000
χ4544-4-4-4400000000−2i22i22i2−2i20000002i−2i−2i2i0−22220000000000000000000000
χ4644-4-4-4400000000−2i22i22i2−2i2000000−2i2i2i−2i022−220000000000000000000000
χ474-4-4400004-4000000004i−4i000000000000000000000002-22i−2i000000
χ484-4-4400004-4000000004i−4i00000000000000000000000-22−2i2i000000
χ494-4-4400004-400000000−4i4i000000000000000000000002-2−2i2i000000
χ504-4-4400004-400000000−4i4i00000000000000000000000-222i−2i000000
χ518-88-8008i−8i000000000000000000000000000000000000000000000
χ528-88-800−8i8i000000000000000000000000000000000000000000000
χ538-8-880000-880000000000000000000000000000000000000000000

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