Finite Group Databasebeta

← Group #268108

Character table — Group #268108

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244444444444224444888822444444888888888888884
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-1-11
χ51111111111-1-111111111-1-1-111-1-1-11-1-1-11111-11-1-1-111111-1-1-1-1
χ61111111111-1-111111111-1-1-111-1-1-1-1-111-1-1-1-11-1111-1-1111-1-1-11
χ71111111111-1-111111111-1-1-1-1-111-11-1-1-11-1-11-11-111-1-1-1-1-11111
χ81111111111-1-111111111-1-1-1-1-111-1-1-111-111-11-11-1-111-1-1-1111-1
χ911111111-1-11111111-1-1-11111111-11-111111-1-1-1-1-1-1-1-11-1-11-1-11
χ1011111111-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1
χ1111111111-1-11111111-1-1-1111-1-1-1-1-11-1111-1-1-1-1-1-11111-111-111-1
χ1211111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111
χ1311111111-1-1-1-111111-1-1-1-1-1-111-1-1111-1-1111-11-1111-1-11-1-1-111-1
χ1411111111-1-1-1-111111-1-1-1-1-1-111-1-11-1111-1-1-11-11-1-1-1111-1-1-1111
χ1511111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11-1-1-11-11-1-111-1111-1-11
χ1611111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1111-1111-11-111-1-1-1111-1-1-1
χ17222222222222-2-22-2-2-2-22-22-2000020-200000000000000000000
χ182222222222-2-2-2-22-2-2-2-222-220000-20200000000000000000000
χ1922222222-2-222-2-22-2-222-2-22-20000-20200000000000000000000
χ2022222222-2-2-2-2-2-22-2-222-22-22000020-200000000000000000000
χ21222222-2-2002222-2-2-20002-2-20000000000000000000002i−2i02i−2i0
χ22222222-2-2002222-2-2-20002-2-2000000000000000000000−2i2i0−2i2i0
χ23222222-2-20022-2-2-222000-2-2222220000000000000000-200-2000
χ24222222-2-20022-2-2-222000-2-22-2-2-2-200000000000000002002000
χ25222222-2-200-2-222-2-2-2000-2220000000000000000000002i−2i0−2i2i0
χ26222222-2-200-2-222-2-2-2000-222000000000000000000000−2i2i02i−2i0
χ27222222-2-200-2-2-2-2-22200022-222-2-20000000000000000-2002000
χ28222222-2-200-2-2-2-2-22200022-2-2-2220000000000000000200-2000
χ292222-2-22222002-2-22-22-2-200000000002-2000020-200000000000
χ302222-2-22222002-2-22-22-2-20000000000-220000-20200000000000
χ312222-2-2222200-22-2-22-22-2000000002000-20020-2000000000000
χ322222-2-2222200-22-2-22-22-200000000-2000200-202000000000000
χ332222-2-222-2-2002-2-22-2-22200000000002-20000-20200000000000
χ342222-2-222-2-2002-2-22-2-2220000000000-22000020-200000000000
χ352222-2-222-2-200-22-2-222-22000000002000-200-202000000000000
χ362222-2-222-2-200-22-2-222-2200000000-200020020-2000000000000
χ374444-4-4-4-400004-44-44000000000000000000000000000000000
χ384444-4-4-4-40000-4444-4000000000000000000000000000000000
χ3944-4-400-444i−4i000000000000000000000002-20000002i−2i0000000
χ4044-4-400-444i−4i00000000000000000000000-22000000−2i2i0000000
χ4144-4-400-44−4i4i000000000000000000000002-2000000−2i2i0000000
χ4244-4-400-44−4i4i00000000000000000000000-220000002i−2i0000000
χ434-4-444-400004i−4i000000000002i2−2i222−2200000000000000000000000
χ444-4-444-400004i−4i00000000000−2i22i2−222200000000000000000000000
χ454-4-444-40000−4i4i000000000002i2−2i2−222200000000000000000000000
χ464-4-444-40000−4i4i00000000000−2i22i222−2200000000000000000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ488-88-8000000000000000000000000000000000002i2−2i2000000000
χ498-88-800000000000000000000000000000000000−2i22i2000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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