Finite Group Databasebeta

← Group #33580

Character table — Group #33580

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888882222444416161616161616162244
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
χ511111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-1-1-111-1-11111111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-11111111-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ111111-1-1-1-111-1-11111111-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ121111-1-1-1-111-1-11111111-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
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
χ292-22-22-22-200002-222-2-2002-2000000002i−2i2i−2i000000000000
χ302-22-22-22-200002-222-2-2002-200000000−2i2i−2i2i000000000000
χ312-22-22-22-200002-2-2-22200-2200002-22-20000000000000000
χ322-22-22-22-200002-2-2-22200-220000-22-220000000000000000
χ332-22-2-22-2200002-222-2-200-22000000002i−2i−2i2i000000000000
χ342-22-2-22-2200002-222-2-200-2200000000−2i2i2i−2i000000000000
χ352-22-2-22-2200002-2-2-222002-200002-2-220000000000000000
χ362-22-2-22-2200002-2-2-222002-20000-222-20000000000000000
χ3744-4-40000004i−4i0022−2222−220000002i2−2i200000000000000000000
χ3844-4-40000004i−4i00−2222−2222000000−2i22i200000000000000000000
χ3944-4-4000000−4i4i0022−2222−22000000−2i22i200000000000000000000
χ4044-4-4000000−4i4i00−2222−22220000002i2−2i200000000000000000000
χ414-44-44-4-440000-4400000000000000000000000000000000
χ424-44-4-444-40000-4400000000000000000000000000000000
χ434-4-4400004-4000022−22−2222000022−220000000000000000000000
χ444-4-4400004-40000−222222−220000−22220000000000000000000000
χ454-4-440000-44000022−22−22220000−22220000000000000000000000
χ464-4-440000-440000−222222−22000022−220000000000000000000000

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