Finite Group Databasebeta

← Group #332949

Character table — Group #332949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444444488888888888816161616161616161616161616161632323232
order12222244444444444444444888888882244444888888884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-11-11-11-1-111111111-1-1-1-1
χ51111111111111111111-1-11111111111-11-11-1-1-111-1-111-1-1-1-11-1
χ61111111111111111111-1-11111111111-1-1-1-1-111-1-111-1-111-1-1-11
χ71111111111111111111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111111-1
χ81111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ91111111111111-1-1-1-11111-1-11111-1-1-1-111-11-111-1-11111-1-11-1-1-1
χ101111111111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-111
χ111111111111111-1-1-1-11111-1-1-1-1-1-1111111-11-11111-1-1-1-111-11-1-1
χ121111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1111
χ131111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-11-11
χ141111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11111111-1-1-1-1-111-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-11-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1111-1-1-1-111111-11-1
χ17222222222-2-22-22222-2-222-2-200000000-20-20200000000000000
χ18222222222-2-22-22222-2-2-2-2-2-2000000002020-200000000000000
χ19222222222-2-22-2-2-2-2-2-2-2222200000000-2020-200000000000000
χ20222222222-2-22-2-2-2-2-2-2-2-2-2220000000020-20200000000000000
χ212222-2-22-2-2222-200002-20000000022-2-2020-20002-20000000000
χ222222-2-22-2-2222-200002-20000000022-2-20-202000-220000000000
χ232222-2-22-2-2222-200002-200000000-2-222020-2000-220000000000
χ242222-2-22-2-2222-200002-200000000-2-2220-2020002-20000000000
χ252222-2-2-22222-2-20000-22000022-2-20000000002-2002-200000000
χ262222-2-2-22222-2-20000-22000022-2-2000000000-2200-2200000000
χ272222-2-2-22222-2-20000-220000-2-2220000000002-200-2200000000
χ282222-2-2-22222-2-20000-220000-2-222000000000-22002-200000000
χ29444444-4-4-444-440000-4-40000000000000000000000000000000
χ30444444-4-4-4-4-4-4-40000440000000000000000000000000000000
χ314444-4-44-4-4-4-4440000-440000000000000000000000000000000
χ324444-4-4-444-4-4-4400004-40000000000000000000000000000000
χ3344-4-44-444-400-400000000000000000000000000000022−22000000
χ3444-4-44-444-400-4000000000000000000000000000000−2222000000
χ3544-4-44-4-4-44004000000000000000000000000000000002i2−2i20000
χ3644-4-44-4-4-4400400000000000000000000000000000000−2i22i20000
χ3744-4-4-444-4400-4044-4-4000000000000000000000000000000000
χ3844-4-4-444-4400-40-4-444000000000000000000000000000000000
χ3944-4-4-44-44-400400000004i−4i00000000000000000000000000000
χ4044-4-4-44-44-40040000000−4i4i00000000000000000000000000000
χ414-44-4000004-4002i−2i2i−2i00002i−2i002i2−2i20022−220000000000000000000
χ424-44-4000004-4002i−2i2i−2i00002i−2i00−2i22i200−22220000000000000000000
χ434-44-4000004-400−2i2i−2i2i0000−2i2i002i2−2i200−22220000000000000000000
χ444-44-4000004-400−2i2i−2i2i0000−2i2i00−2i22i20022−220000000000000000000
χ454-44-400000-44002i−2i2i−2i0000−2i2i2i2−2i20022−22000000000000000000000
χ464-44-400000-44002i−2i2i−2i0000−2i2i−2i22i200−2222000000000000000000000
χ474-44-400000-4400−2i2i−2i2i00002i−2i2i2−2i200−2222000000000000000000000
χ484-44-400000-4400−2i2i−2i2i00002i−2i−2i22i20022−22000000000000000000000
χ498-8-880000000004i−4i−4i4i000000000000000000000000000000000
χ508-8-88000000000−4i4i4i−4i000000000000000000000000000000000

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