Finite Group Databasebeta

← Group #33671

Character table — Group #33671

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122244444444448888248888882244444416161616161616162444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-111-1-11111111-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-1-1-111-1-11111111-1-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ111111-1-1-1-111-1-11111111-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111-1-1-1-111-1-11111111-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1-1-111111111-11-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1-1-111111111-11-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000
χ19222222-2-22222-2-20000-2-2000000000000002−22−22−22−20000
χ20222222-2-22222-2-20000-2-200000000000000−22−22−22−220000
χ21222222-2-2-2-2-2-2-2-2000022000000000000002−22−2−22−220000
χ22222222-2-2-2-2-2-2-2-200002200000000000000−22−222−22−20000
χ232222-2-22222-2-2-2-20000-22000000000000002−2−222−2−220000
χ242222-2-22222-2-2-2-20000-2200000000000000−222−2−222−20000
χ252222-2-222-2-222-2-200002-2000000000000002−2−22−222−20000
χ262222-2-222-2-222-2-200002-200000000000000−222−22−2−220000
χ272222-2-2-2-222-2-222-2-2-2-22-222-2-22200000000000000000000
χ282222-2-2-2-2-2-22222-2-2-2-2-222222-2-200000000000000000000
χ2922-2-22i−2i2i−2i00002-222-2-2002i−2i000000002-22i−2i000000000000
χ3022-2-22i−2i2i−2i00002-222-2-2002i−2i00000000-22−2i2i000000000000
χ3122-2-22i−2i2i−2i00002-2-2-22200−2i2i00002-22i−2i0000000000000000
χ3222-2-22i−2i2i−2i00002-2-2-22200−2i2i0000-22−2i2i0000000000000000
χ3322-2-2−2i2i−2i2i00002-222-2-200−2i2i000000002-2−2i2i000000000000
χ3422-2-2−2i2i−2i2i00002-222-2-200−2i2i00000000-222i−2i000000000000
χ3522-2-2−2i2i−2i2i00002-2-2-222002i−2i00002-2−2i2i0000000000000000
χ3622-2-2−2i2i−2i2i00002-2-2-222002i−2i0000-222i−2i0000000000000000
χ3744-4-44i−4i−4i4i0000-4400000000000000000000000000000000
χ3844-4-4−4i4i4i−4i0000-4400000000000000000000000000000000
χ394-44-40000004i−4i0022−2222−220000002i2−2i200000000000000000000
χ404-44-40000004i−4i00−2222−2222000000−2i22i200000000000000000000
χ414-44-4000000−4i4i0022−2222−22000000−2i22i200000000000000000000
χ424-44-4000000−4i4i00−2222−22220000002i2−2i200000000000000000000
χ434-4-4400004i−4i000022−22−222200002i2−2i20000000000000000000000
χ444-4-4400004i−4i0000−222222−220000−2i22i20000000000000000000000
χ454-4-440000−4i4i000022−22−22220000−2i22i20000000000000000000000
χ464-4-440000−4i4i0000−222222−2200002i2−2i20000000000000000000000

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