Finite Group Databasebeta

← Group #273424

Character table — Group #273424

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444444888888888888816161616161616161616161616161616161616161632
order12222244222244422444444488882244444444444888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-11-11-1-1111-1-1-1-1-1-1-1111-1
χ31111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-111-1-1-11
χ51111111111111111-1-1-111-11111-1-11-1-1-11-111111-1-1-11-111-1-1-1-1
χ61111111111111111-1-1-111-111-1-1-1-1-111-1-1-1-1-1111111-11-1-1-1-1-11
χ71111111111111111-1-1-111-1-1-111111-1-1-11-1-1-1-1-1-111-11-1-1-11111
χ81111111111111111-1-1-111-1-1-1-1-111-111-1-1-111-1-1-1-1-11-1111111-1
χ9111111111-1-11111-1111-1-11111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1
χ10111111111-1-11111-1111-1-1111-1-111111-11-1111-1-1-1-1-1-1-1-1-11-1-11
χ11111111111-1-11111-1111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1111
χ12111111111-1-11111-1111-1-11-1-1-1-1-1-1111-11-1-1-1-11111-1-1-111-111-1
χ13111111111-1-11111-1-1-1-1-1-1-11111-1-1-1111-11-1-11-1-1-1-1-11-111-1111
χ14111111111-1-11111-1-1-1-1-1-1-111-1-1-1-11-1-1111111-1-1111-11-1-1-111-1
χ15111111111-1-11111-1-1-1-1-1-1-1-1-11111-1111-1111-11111-11-1-1-11-1-1-1
χ16111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-111-1-11-11111-1-11
χ1722222222-222-22-2-22000-2-20002200-20002000000000-20000000
χ1822222222-222-22-2-22000-2-2000-2-2002000-200000000020000000
χ1922222222-2-2-2-22-2-2-20002200022002000-2000000000-20000000
χ2022222222-2-2-2-22-2-2-200022000-2-200-2000200000000020000000
χ21222222-2-2-200-2-222022-200-22200-2-200000000-20000000002000
χ22222222-2-2-200-2-222022-200-2-2-20022000000002000000000-2000
χ23222222-2-2-200-2-2220-2-2200222002200000000-2000000000-2000
χ24222222-2-2-200-2-2220-2-22002-2-200-2-20000000020000000002000
χ252222-2-222222-2-2-22-20002-2000000002-20000000000-202000000
χ262222-2-222222-2-2-22-20002-200000000-22000000000020-2000000
χ272222-2-2222-2-2-2-2-222000-22000000002-2000000000020-2000000
χ282222-2-2222-2-2-2-2-222000-2200000000-220000000000-202000000
χ292222-2-222-2222-22-2-22-2-2-222000000000-2020000000000000000
χ302222-2-222-2222-22-2-2-222-22-200000000020-20000000000000000
χ312222-2-222-2-2-22-22-222-2-22-2200000000020-20000000000000000
χ322222-2-222-2-2-22-22-22-2222-2-2000000000-2020000000000000000
χ332222-2-2-2-2200-222-202-2200-20000000000000002i−2i000000002i−2i0
χ342222-2-2-2-2200-222-202-2200-2000000000000000−2i2i00000000−2i2i0
χ352222-2-2-2-2200-222-20-22-20020000000000000002i−2i00000000−2i2i0
χ362222-2-2-2-2200-222-20-22-2002000000000000000−2i2i000000002i−2i0
χ37444444-4-44004-4-4-400000000000000000000000000000000000
χ384444-4-4-4-4-40044-4400000000000000000000000000000000000
χ3944-4-4-440000000000000000002i2−2i22i2−2i2000000000002-2000000000
χ4044-4-4-440000000000000000002i2−2i2−2i22i200000000000-22000000000
χ4144-4-4-44000000000000000000−2i22i22i2−2i200000000000-22000000000
χ4244-4-4-44000000000000000000−2i22i2−2i22i2000000000002-2000000000
χ434-4-4400-4404-4000000000000000000000002-2000000002-20000
χ444-4-4400-4404-400000000000000000000000-2200000000-220000
χ454-4-4400-440-44000000000000000000000002-200000000-220000
χ464-4-4400-440-4400000000000000000000000-22000000002-20000
χ4788-8-88-800000000000000000000000000000000000000000000
χ488-88-80000000000000000004i−4i00000000000000000000000000
χ498-88-8000000000000000000−4i4i00000000000000000000000000
χ508-8-88008-8000000000000000000000000000000000000000000

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