Finite Group Databasebeta

← Group #268129

Character table — Group #268129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244224444444222444888822444444888888888888882
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-11-111-1-1-1-11111-1-1-1-1-1-11
χ5111111111111-1-11111-1-111-111-1-1-111-1-1-1111-11-1-1-111111-1-1-1-1
χ6111111111111-1-11111-1-111-111-1-1-1-1-11-11-1-1-11-1111-1-1111-1-1-11
χ7111111111111-1-11111-1-111-1-1-111-111-1-1-1-1-11-11-111-1-1-1-1-11111
χ8111111111111-1-11111-1-111-1-1-111-1-1-11-1111-11-11-1-111-1-1-1111-1
χ911111111-1-11111111-111-1-111111-1111-1111-1-1-1-1-1-1-1-11-1-11-1-11
χ1011111111-1-11111111-111-1-111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1
χ1111111111-1-11111111-111-1-11-1-1-1-1-1111-11-1-1-1-1-1-11111-111-111-1
χ1211111111-1-11111111-111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111
χ1311111111-1-111-1-1111-1-1-1-1-1-111-1-1111-11-111-11-1111-1-11-1-1-111-1
χ1411111111-1-111-1-1111-1-1-1-1-1-111-1-11-1-1111-1-11-11-1-1-1111-1-1-1111
χ1511111111-1-111-1-1111-1-1-1-1-1-1-1-111111-11-1-1-1-11-11-1-111-1111-1-11
χ1611111111-1-111-1-1111-1-1-1-1-1-1-1-1111-1-1111111-11-111-1-1-1111-1-1-1
χ172222222222-2-2222-2-222-2-2-2-20000-20002000000000000000000
χ182222222222-2-2-2-22-2-22-22-2-2200002000-2000000000000000000
χ1922222222-2-2-2-2222-2-2-22-222-200002000-2000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-2-222220000-20002000000000000000000
χ21222222-2-2002222-2-2-20-2-20020000000000000000000002i−2i02i−2i0
χ22222222-2-2002222-2-2-20-2-2002000000000000000000000−2i2i0−2i2i0
χ23222222-2-20022-2-2-2-2-202200-20000000000000000000002i−2i0−2i2i0
χ24222222-2-20022-2-2-2-2-202200-2000000000000000000000−2i2i02i−2i0
χ25222222-2-200-2-222-2220-2200-222220000000000000000-200-2000
χ26222222-2-200-2-222-2220-2200-2-2-2-2-200000000000000002002000
χ27222222-2-200-2-2-2-2-22202-200222-2-20000000000000000-2002000
χ28222222-2-200-2-2-2-2-22202-2002-2-2220000000000000000200-2000
χ292222-2-222222-200-22-2-2002-20000000020-200020-200000000000
χ302222-2-222222-200-22-2-2002-200000000-202000-20200000000000
χ312222-2-22222-2200-2-22-200-220000002-200000-202000000000000
χ322222-2-22222-2200-2-22-200-22000000-220000020-2000000000000
χ332222-2-222-2-22-200-22-2200-220000000020-2000-20200000000000
χ342222-2-222-2-22-200-22-2200-2200000000-20200020-200000000000
χ352222-2-222-2-2-2200-2-222002-20000002-20000020-2000000000000
χ362222-2-222-2-2-2200-2-222002-2000000-2200000-202000000000000
χ374444-4-4-4-4004-4004-44000000000000000000000000000000000
χ384444-4-4-4-400-440044-4000000000000000000000000000000000
χ3944-4-44-40000004i−4i0000000002i2−2i222−2200000000000000000000000
χ4044-4-44-40000004i−4i000000000−2i22i2−222200000000000000000000000
χ4144-4-44-4000000−4i4i0000000002i2−2i2−222200000000000000000000000
χ4244-4-44-4000000−4i4i000000000−2i22i222−2200000000000000000000000
χ434-4-4400-444-4000000000000000000000002-20000002-20000000
χ444-4-4400-444-400000000000000000000000-22000000-220000000
χ454-4-4400-44-44000000000000000000000002-2000000-220000000
χ464-4-4400-44-4400000000000000000000000-220000002-20000000
χ4788-8-8-8800000000000000000000000000000000000000000000
χ488-88-80000000000000000000000000000000000022−22000000000
χ498-88-800000000000000000000000000000000000−2222000000000
χ508-8-88008-8000000000000000000000000000000000000000000

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