Finite Group Databasebeta

← Group #343093

Character table — Group #343093

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
χ91111111111111111-1-111-1-1-1-11111-1-1-1-1-11111-111-11-1-1111-1-1-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-1-11-1-11-1-1-111-1111
χ111111111111111111-1-111-1-1-1-1-1-1-1-11111-111-11-1-1-1-1-111-1-11-111
χ121111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-11111111-1-1-11-1-1
χ131111111111111111-1-1-1-1111111111111-1-1111-11-1-1-1-1-1-1-1-11-11
χ141111111111111111-1-1-1-1111111111111-1-1-1-1-11-1111-1-1-1-11-11-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11-111111-111-1
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-11-111111-1-11
χ17222222-2-22222-2-2-2-2222222-2-200000000-2-20000000000000000
χ18222222-2-22222-2-2-2-222-2-2-2-22200000000-220000000000000000
χ19222222-2-22222-2-2-2-2-2-222-2-222000000002-20000000000000000
χ20222222-2-22222-2-2-2-2-2-2-2-222-2-200000000220000000000000000
χ212222-2-2-2-222-2-2222-200000000000022-2-200000202-2-200000000
χ222222-2-2-2-222-2-2222-200000000000022-2-200000-20-22200000000
χ232222-2-2-2-222-2-2222-2000000000000-2-2220000020-2-2200000000
χ242222-2-2-2-222-2-2222-2000000000000-2-22200000-2022-200000000
χ252222-2-2-2-2-2-22222-220000000022-2-200000022-20-200000000000
χ262222-2-2-2-2-2-22222-220000000022-2-2000000-2-220200000000000
χ272222-2-2-2-2-2-22222-2200000000-2-2220000002-2-20200000000000
χ282222-2-2-2-2-2-22222-2200000000-2-222000000-2220-200000000000
χ2944444444-4-4-4-444-4-40000000000000000000000000000000000
χ30444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ314444-4-44444-4-4-4-4-440000000000000000000000000000000000
χ324444-4-444-4-444-4-44-40000000000000000000000000000000000
χ3344-4-4004i−4i0000000000002-22i−2i2-22i−2i2-22i−2i000000000000000000
χ3444-4-4004i−4i0000000000002-22i−2i-22−2i2i-22−2i2i000000000000000000
χ3544-4-4004i−4i000000000000-22−2i2i2-22i−2i-22−2i2i000000000000000000
χ3644-4-4004i−4i000000000000-22−2i2i-22−2i2i2-22i−2i000000000000000000
χ3744-4-400−4i4i0000000000002-2−2i2i2-2−2i2i2-2−2i2i000000000000000000
χ3844-4-400−4i4i0000000000002-2−2i2i-222i−2i-222i−2i000000000000000000
χ3944-4-400−4i4i000000000000-222i−2i2-2−2i2i-222i−2i000000000000000000
χ4044-4-400−4i4i000000000000-222i−2i-222i−2i2-2−2i2i000000000000000000
χ414-44-44-4004-44-4000000000000000000000000000000002i2−2i20000
χ424-44-44-4004-44-400000000000000000000000000000000−2i22i20000
χ434-44-44-400-44-440000000000000000000000000000002i2−2i2000000
χ444-44-44-400-44-44000000000000000000000000000000−2i22i2000000
χ454-44-4-44004-4-4400004i−4i00000000000000000000000000000000
χ464-44-4-44004-4-440000−4i4i00000000000000000000000000000000
χ474-44-4-4400-444-40000004i−4i000000000000000000000000000000
χ484-44-4-4400-444-4000000−4i4i000000000000000000000000000000
χ498-8-88000000008-8000000000000000000000000000000000000
χ508-8-8800000000-88000000000000000000000000000000000000

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