Finite Group Databasebeta

← Group #332913

Character table — Group #332913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444444488888888888816161616161616161616161616161632323232
order12222244444444444442244888888882244444888888882488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ51111111111111111111-1-111111111111-1-1-1-11-111-1-111-1-1-1-11-1
χ61111111111111111111-1-11111111111-11-1-1-1-11-1-111-1-111-1-1-11
χ71111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-111-1-111111-1
χ81111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-111-11
χ91111111111111-1-1-1-11111-1-11111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1
χ101111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-111
χ111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-11111-1-1-11-1-1
χ121111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-111-1111
χ131111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1111-11111-1-1-1-1-11-11
χ141111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-111-11-1-1-1-11111-111-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-111111-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-111-111111-1-1-1-11-11-1
χ17222222-2-22222-22222-2-222-2-20000000000-2-2200000000000000
χ18222222-2-22222-22222-2-2-2-2-2-2000000000022-200000000000000
χ19222222-2-22222-2-2-2-2-2-2-222220000000000-22-200000000000000
χ20222222-2-22222-2-2-2-2-2-2-2-2-22200000000002-2200000000000000
χ212222-2-22222-2-2-200002-20000000022-2-2020000-2002-200000000
χ222222-2-22222-2-2-200002-20000000022-2-20-20000200-2200000000
χ232222-2-22222-2-2-200002-200000000-2-222020000-200-2200000000
χ242222-2-22222-2-2-200002-200000000-2-2220-200002002-200000000
χ252222-2-222-2-222-20000-22000022-2-2000020000-202-20000000000
χ262222-2-222-2-222-20000-22000022-2-20000-2000020-220000000000
χ272222-2-222-2-222-20000-220000-2-222000020000-20-220000000000
χ282222-2-222-2-222-20000-220000-2-2220000-20000202-20000000000
χ2944444444-4-4-4-440000-4-40000000000000000000000000000000
χ30444444-4-4-4-4-4-4-40000440000000000000000000000000000000
χ314444-4-4-4-444-4-440000-440000000000000000000000000000000
χ324444-4-4-4-4-4-444400004-40000000000000000000000000000000
χ3344-4-4004-4000002i2i−2i−2i00002i−2i0022−22002i2−2i20000000000000000000
χ3444-4-4004-4000002i2i−2i−2i00002i−2i00−222200−2i22i20000000000000000000
χ3544-4-4004-400000−2i−2i2i2i0000−2i2i0022−2200−2i22i20000000000000000000
χ3644-4-4004-400000−2i−2i2i2i0000−2i2i00−2222002i2−2i20000000000000000000
χ3744-4-400-44000002i2i−2i−2i0000−2i2i22−22002i2−2i2000000000000000000000
χ3844-4-400-44000002i2i−2i−2i0000−2i2i−222200−2i22i2000000000000000000000
χ3944-4-400-4400000−2i−2i2i2i00002i−2i22−2200−2i22i2000000000000000000000
χ4044-4-400-4400000−2i−2i2i2i00002i−2i−2222002i2−2i2000000000000000000000
χ414-4-444-4004-44-400000004-400000000000000000000000000000
χ424-4-444-4004-44-40000000-4400000000000000000000000000000
χ434-4-444-400-44-4404-44-4000000000000000000000000000000000
χ444-4-444-400-44-440-44-44000000000000000000000000000000000
χ454-4-44-44004-4-4400000000000000000000000000000022−22000000
χ464-4-44-44004-4-44000000000000000000000000000000−2222000000
χ474-4-44-4400-444-40000000000000000000000000000000022−220000
χ484-4-44-4400-444-400000000000000000000000000000000−22220000
χ498-88-80000000004i−4i−4i4i000000000000000000000000000000000
χ508-88-8000000000−4i4i4i−4i000000000000000000000000000000000

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