Finite Group Databasebeta

← Group #285505

Character table — Group #285505

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442448888888888882444448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-11-1-1-1-111111-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111111-1-11
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1111-1-111-1
χ51111111111111111111-1-11111111111-1-1-11-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ71111111111111111111-1-1-1-1-1-1111111111-11-1-11-1-1-1-1-1-1-1-111-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-1-11
χ911111111111-1-1111-1-1-111111111-1-1-1-11-1-1111-11-1-1-11-1-1-1-11-11
χ1011111111111-1-1111-1-1-1111111-1-111111-1-1-11-11-11-1-11-1-111-11-1
χ1111111111111-1-1111-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-111
χ1211111111111-1-1111-1-1-111-1-1-1-1-1-11111-1111-11-1-1-1111-1-1111-1-1
χ1311111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1111-11-11-1-1-1-11111-11-1
χ1411111111111-1-1111-1-1-1-1-11111-1-11111-111-1-1-11-11-1-1-111-1-11-11
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-111111-111111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-111-111-1-1-111
χ17222222-22-22-222-22-2-2-2200000000000000020-220-20000000000
χ18222222-22-22-222-22-2-2-22000000000000000-202-2020000000000
χ19222222-22-22-2-2-2-22-222-200000000000000020-2-2020000000000
χ20222222-22-22-2-2-2-22-222-2000000000000000-20220-20000000000
χ2122222-22-222-2002-2-20002222-2-20000002000-2000000-20000000
χ2222222-22-222-2002-2-200022-2-222000000-20002000000-20000000
χ2322222-22-222-2002-2-2000-2-222-2-2000000-2000200000020000000
χ2422222-22-222-2002-2-2000-2-2-2-2220000002000-200000020000000
χ252222-22222-2-222-2-222-2-20000002222-2-20000000-200000000000
χ262222-22222-2-222-2-222-2-2000000-2-2-2-2220000000200000000000
χ272222-22222-2-2-2-2-2-22-22200000022-2-2220000000-200000000000
χ282222-22222-2-2-2-2-2-22-222000000-2-222-2-20000000200000000000
χ292222-22-22-2-22222-2-2-22-2002i−2i2i−2i0000000000000002i−2i00000000
χ302222-22-22-2-22222-2-2-22-200−2i2i−2i2i000000000000000−2i2i00000000
χ312222-22-22-2-22-2-22-2-22-22002i−2i2i−2i000000000000000−2i2i00000000
χ322222-22-22-2-22-2-22-2-22-2200−2i2i−2i2i0000000000000002i−2i00000000
χ332222-2-2-2-2-2-2-200222000002i−2i−2i2i00000002-20000000002i−2i00000
χ342222-2-2-2-2-2-2-200222000002i−2i−2i2i0000000-22000000000−2i2i00000
χ352222-2-2-2-2-2-2-20022200000−2i2i2i−2i00000002-2000000000−2i2i00000
χ362222-2-2-2-2-2-2-20022200000−2i2i2i−2i0000000-220000000002i−2i00000
χ3744444-4-4-4-44400-4-440000000000000000000000000000000000
χ384444-4-44-44-4400-44-40000000000000000000000000000000000
χ3944-4-40040-4000000000022−220000000022−22000000000000002-2000
χ4044-4-40040-4000000000022−2200000000−222200000000000000-22000
χ4144-4-40040-40000000000−22220000000022−2200000000000000-22000
χ4244-4-40040-40000000000−222200000000−2222000000000000002-2000
χ434-4-44040-40004i−4i00000000000022−222i2−2i2000000000000000000000
χ444-4-44040-40004i−4i000000000000−2222−2i22i2000000000000000000000
χ454-4-44040-4000−4i4i00000000000022−22−2i22i2000000000000000000000
χ464-4-44040-4000−4i4i000000000000−22222i2−2i2000000000000000000000
χ4788-8-800-80800000000000000000000000000000000000000000
χ488-88-880000-80000000000000000000000000000000000000000
χ498-88-8-8000080000000000000000000000000000000000000000
χ508-8-880-808000000000000000000000000000000000000000000

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