Finite Group Databasebeta

← Group #343090

Character table — Group #343090

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-11-1-111-11-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-11-111111-11-111-1-1-1-11-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-11-1111-1-111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1111-1-111-1-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-1-1-111111-1
χ91111111111111111-1-111-1-1-1-11111-1-1-1-1-111-11-1-1-1-1-1-1-1111-111
χ101111111111111111-1-111-1-1-1-11111-1-1-1-1-11-11-111111-1-111-11-1-1
χ111111111111111111-1-111-1-1-1-1-1-1-1-11111-11111-111-1111-1-11-1-1-1
χ121111111111111111-1-111-1-1-1-1-1-1-1-11111-11-1-1-11-1-11-111-1-1-1111
χ131111111111111111-1-1-1-1111111111111-1-11-11-1-11-11-1-1-1-1-111-1
χ141111111111111111-1-1-1-1111111111111-1-1-11-111-11-1-1-1-1-11-1-11
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-11-11
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-11-1
χ1722222222-2-2-2-222-2-2222222-2-200000000-2-20000000000000000
χ1822222222-2-2-2-222-2-222-2-2-2-22200000000-220000000000000000
χ1922222222-2-2-2-222-2-2-2-222-2-222000000002-20000000000000000
χ2022222222-2-2-2-222-2-2-2-2-2-222-2-200000000220000000000000000
χ212222-2-22-2-2-2222-22-200000000000022-2-20020-20020-200000000
χ222222-2-22-2-2-2222-22-200000000000022-2-200-20200-20200000000
χ232222-2-22-2-2-2222-22-2000000000000-2-2220020-200-20200000000
χ242222-2-22-2-2-2222-22-2000000000000-2-22200-2020020-200000000
χ252222-2-2-22-2-222-22-220000000022-2-20000000202-20-2000000000
χ262222-2-2-22-2-222-22-220000000022-2-20000000-20-2202000000000
χ272222-2-2-22-2-222-22-2200000000-2-222000000020-2-202000000000
χ282222-2-2-22-2-222-22-2200000000-2-2220000000-20220-2000000000
χ29444444-4-44444-4-4-4-40000000000000000000000000000000000
χ30444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ314444-4-44-444-4-44-4-440000000000000000000000000000000000
χ324444-4-4-4444-4-4-444-40000000000000000000000000000000000
χ3344-4-400004i−4i00000000002-22i−2i2-22i−2i2-22i−2i000000000000000000
χ3444-4-400004i−4i00000000002-22i−2i-22−2i2i-22−2i2i000000000000000000
χ3544-4-400004i−4i0000000000-22−2i2i2-22i−2i-22−2i2i000000000000000000
χ3644-4-400004i−4i0000000000-22−2i2i-22−2i2i2-22i−2i000000000000000000
χ3744-4-40000−4i4i00000000002-2−2i2i2-2−2i2i2-2−2i2i000000000000000000
χ3844-4-40000−4i4i00000000002-2−2i2i-222i−2i-222i−2i000000000000000000
χ3944-4-40000−4i4i0000000000-222i−2i2-2−2i2i-222i−2i000000000000000000
χ4044-4-40000−4i4i0000000000-222i−2i-222i−2i2-2−2i2i000000000000000000
χ414-44-44-4440000-4-4000000000000000000000000000022−22000000
χ424-44-44-4440000-4-40000000000000000000000000000−2222000000
χ434-44-44-4-4-400004400000000000000000000000000000022−220000
χ444-44-44-4-4-4000044000000000000000000000000000000−22220000
χ454-44-4-444-40000-4400004i−4i000000000000000000000000000000
χ464-44-4-444-40000-440000−4i4i000000000000000000000000000000
χ474-44-4-44-4400004-4004i−4i00000000000000000000000000000000
χ484-44-4-44-4400004-400−4i4i00000000000000000000000000000000
χ498-8-880000008-800000000000000000000000000000000000000
χ508-8-88000000-8800000000000000000000000000000000000000

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