Finite Group Databasebeta

← Group #273423

Character table — Group #273423

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444444888888888888816161616161616161616161616161616161616161632
order12222244224444424444444488882444444444444888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-11-1-11-1-1-1111-1-1-1-1-1-1-1111-1
χ31111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-11-1-11-111-1-1-111-1-1-111-1-1-11
χ5111111111111111-111-11-1-11111-1-11-11-1-1-111111-1-1-11-111-1-1-1-1
χ6111111111111111-111-11-1-111-1-1-1-1-1-1-11-11-1-1111111-11-1-1-1-1-11
χ7111111111111111-111-11-1-1-1-111111-11-1-1-1-1-1-1-1-111-11-1-1-11111
χ8111111111111111-111-11-1-1-1-1-1-111-1-1-11-1111-1-1-1-1-11-1111111-1
χ91111111111-1-11111-1-11-111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1
χ101111111111-1-11111-1-11-11111-1-1111-111-11111-1-1-1-1-1-1-1-1-11-1-11
χ111111111111-1-11111-1-11-111-1-111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1111
χ121111111111-1-11111-1-11-111-1-1-1-1-1-11-111-11-1-1-11111-1-1-111-111-1
χ131111111111-1-1111-1-1-1-1-1-1-11111-1-1-11-1111-1-11-1-1-1-1-11-111-1111
χ141111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1111-11-1111-1-1111-11-1-1-111-1
χ151111111111-1-1111-1-1-1-1-1-1-1-1-11111-11-111111-11111-11-1-1-11-1-1-1
χ161111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-111-1-11-11111-1-11
χ1722222222-2-2222-2-20-2-20200002200-20200000000000-20000000
χ1822222222-2-2222-2-20-2-2020000-2-20020-20000000000020000000
χ1922222222-2-2-2-22-2-20220-20000220020-200000000000-20000000
χ2022222222-2-2-2-22-2-20220-20000-2-200-2020000000000020000000
χ21222222-2-2-2-200-22220020-2-222002200000000-2000000000-2000
χ22222222-2-2-2-200-22220020-2-2-2-200-2-20000000020000000002000
χ23222222-2-2-2-200-222-200-20222200-2-200000000-20000000002000
χ24222222-2-2-2-200-222-200-2022-2-20022000000002000000000-2000
χ252222-2-2222-222-2-2202-20-20000000000020-2000000020-2000000
χ262222-2-2222-222-2-2202-20-200000000000-2020000000-202000000
χ272222-2-2222-2-2-2-2-220-22020000000000020-20000000-202000000
χ282222-2-2222-2-2-2-2-220-220200000000000-202000000020-2000000
χ292222-2-222-2222-22-22-22-2-2-220000000200-200000000000000000
χ302222-2-222-2222-22-2-2-222-22-20000000-200200000000000000000
χ312222-2-222-22-2-2-22-222-2-22-220000000-200200000000000000000
χ322222-2-222-22-2-2-22-2-22-2222-20000000200-200000000000000000
χ332222-2-2-2-22-20022-2200-202-20000000000000002i−2i000000002i−2i0
χ342222-2-2-2-22-20022-2200-202-2000000000000000−2i2i00000000−2i2i0
χ352222-2-2-2-22-20022-2-20020-220000000000000002i−2i00000000−2i2i0
χ362222-2-2-2-22-20022-2-20020-22000000000000000−2i2i000000002i−2i0
χ37444444-4-44400-4-4-400000000000000000000000000000000000
χ384444-4-4-4-4-44004-4400000000000000000000000000000000000
χ3944-4-44-400000000000000000022−2222−22000000000002-2000000000
χ4044-4-44-400000000000000000022−22−222200000000000-22000000000
χ4144-4-44-4000000000000000000−222222−2200000000000-22000000000
χ4244-4-44-4000000000000000000−2222−2222000000000002-2000000000
χ434-4-44004-4004i−4i00000000000000000000002-2000000002i−2i0000
χ444-4-44004-4004i−4i0000000000000000000000-2200000000−2i2i0000
χ454-4-44004-400−4i4i00000000000000000000002-200000000−2i2i0000
χ464-4-44004-400−4i4i0000000000000000000000-22000000002i−2i0000
χ4788-8-8-8800000000000000000000000000000000000000000000
χ488-88-80000000000000000004i−4i00000000000000000000000000
χ498-88-8000000000000000000−4i4i00000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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