Finite Group Databasebeta

← Group #33673

Character table — Group #33673

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888884444444416161616161616164444
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
χ5111111-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ7111111-1-1-1-1-1-1111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111-1-1-1-1-1-1111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1-11
χ101111-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-111-1
χ111111-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-111-1
χ121111-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-11
χ131111-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222-2-222-2-20000-2-2000000000000002−22−22−22−20000
χ1922222222-2-222-2-20000-2-200000000000000−22−22−22−220000
χ20222222-2-222-2-2-2-200002-2000000000000002−22−2−22−220000
χ21222222-2-222-2-2-2-200002-200000000000000−22−222−22−20000
χ22222222-2-2-2-2-2-222-2-2-2-2-22-2-2222200000000000000000000
χ232222-2-22222-2-222-2-2-2-2-2-222-2-22200000000000000000000
χ242222-2-222-2-2-2-2-2-2000022000000000000002−2−222−2−220000
χ252222-2-222-2-2-2-2-2-200002200000000000000−222−2−222−20000
χ262222-2-2-2-22222-2-20000-22000000000000002−2−22−222−20000
χ272222-2-2-2-22222-2-20000-2200000000000000−222−22−2−220000
χ282222-2-2-2-2-2-22222-2-2-2-22-22222-2-200000000000000000000
χ292-2-22002i−2i2i−2i002-222-2-200002i−2i00002i−2i002-2000000000000
χ302-2-22002i−2i2i−2i002-222-2-200002i−2i0000−2i2i00-22000000000000
χ312-2-22002i−2i2i−2i002-2-2-2220000−2i2i002i−2i002-200000000000000
χ322-2-22002i−2i2i−2i002-2-2-2220000−2i2i00−2i2i00-2200000000000000
χ332-2-2200−2i2i−2i2i002-222-2-20000−2i2i00002i−2i00-22000000000000
χ342-2-2200−2i2i−2i2i002-222-2-20000−2i2i0000−2i2i002-2000000000000
χ352-2-2200−2i2i−2i2i002-2-2-22200002i−2i002i−2i00-2200000000000000
χ362-2-2200−2i2i−2i2i002-2-2-22200002i−2i00−2i2i002-200000000000000
χ3744-4-40000004-40022−2222−2200000022−2200000000000000000000
χ3844-4-40000004-400−2222−2222000000−222200000000000000000000
χ3944-4-4000000-440022−2222−22000000−222200000000000000000000
χ4044-4-4000000-4400−2222−222200000022−2200000000000000000000
χ414-44-44-40000000022−22−22220022−22000000000000000000000000
χ424-44-44-400000000−222222−2200−2222000000000000000000000000
χ434-44-4-440000000022−22−222200−2222000000000000000000000000
χ444-44-4-4400000000−222222−220022−22000000000000000000000000
χ454-4-44004i−4i−4i4i00-4400000000000000000000000000000000
χ464-4-4400−4i4i4i−4i00-4400000000000000000000000000000000

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