Finite Group Databasebeta

← Group #343088

Character table — Group #343088

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444442244444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-11-11
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-11-111-1-1111111-1-11-1-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1-11-1
χ91111111111111111-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-111-11-1-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-111-1-1111-111
χ111111111111111111-1-111-1-1-1-1-1-1-1-11111111-111-1-11111-1-1-1-1-11
χ121111111111111111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1111-1
χ131111111111111111-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-1-1-111
χ141111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-111-1
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11
χ172222222-2-2-2222-2-2-2222222-2-2000000000-20-200000000000000
χ182222222-2-2-2222-2-2-222-2-2-2-22200000000020-200000000000000
χ192222222-2-2-2222-2-2-2-2-222-2-222000000000-20200000000000000
χ202222222-2-2-2222-2-2-2-2-2-2-222-2-200000000020200000000000000
χ212222-2-222-2-2-2-2222-200000000000022-2-200002-2002-200000000
χ222222-2-222-2-2-2-2222-200000000000022-2-20000-2200-2200000000
χ232222-2-222-2-2-2-2222-2000000000000-2-22200002-200-2200000000
χ242222-2-222-2-2-2-2222-2000000000000-2-2220000-22002-200000000
χ252222-2-2-22-2-222-22-220000000022-2-2000020-20002-20000000000
χ262222-2-2-22-2-222-22-220000000022-2-20000-202000-220000000000
χ272222-2-2-22-2-222-22-2200000000-2-222000020-2000-220000000000
χ282222-2-2-22-2-222-22-2200000000-2-2220000-2020002-20000000000
χ29444444-4444-4-4-44-4-40000000000000000000000000000000000
χ30444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ314444-4-44-444-4-44-4-440000000000000000000000000000000000
χ324444-4-4-4-44444-4-44-40000000000000000000000000000000000
χ3344-4-44-440004-4-4000000000000000000000000000000022−220000
χ3444-4-44-440004-4-40000000000000000000000000000000−22220000
χ3544-4-44-4-4000-444000000000000000000000000000002i2−2i2000000
χ3644-4-44-4-4000-44400000000000000000000000000000−2i22i2000000
χ3744-4-4-444000-44-40004-400000000000000000000000000000000
χ3844-4-4-444000-44-4000-4400000000000000000000000000000000
χ3944-4-4-44-40004-44000004i−4i000000000000000000000000000000
χ4044-4-4-44-40004-4400000−4i4i000000000000000000000000000000
χ414-44-400004i−4i00000000002-22i−2i2-22i−2i2-22i−2i000000000000000000
χ424-44-400004i−4i00000000002-22i−2i-22−2i2i-22−2i2i000000000000000000
χ434-44-400004i−4i0000000000-22−2i2i2-22i−2i-22−2i2i000000000000000000
χ444-44-400004i−4i0000000000-22−2i2i-22−2i2i2-22i−2i000000000000000000
χ454-44-40000−4i4i00000000002-2−2i2i2-2−2i2i2-2−2i2i000000000000000000
χ464-44-40000−4i4i00000000002-2−2i2i-222i−2i-222i−2i000000000000000000
χ474-44-40000−4i4i0000000000-222i−2i2-2−2i2i-222i−2i000000000000000000
χ484-44-40000−4i4i0000000000-222i−2i-222i−2i2-2−2i2i000000000000000000
χ498-8-88000800000-8000000000000000000000000000000000000
χ508-8-88000-8000008000000000000000000000000000000000000

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