Finite Group Databasebeta

← Group #153629

Character table — Group #153629

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size1124448888881616161616161616161632323232326464
order1224444488882222444888488161648
χ111111111111111111111111111111
χ211111111111111-11-11111111-1-1-1-1-1
χ3111111111-1-111-1111-11-1-1-1-111-1-1-11
χ4111111111-1-111-1-11-1-11-1-1-1-11-1111-1
χ5111111-1-11111-1-1111-111-1-11-1111-1-1
χ6111111-1-11111-1-1-11-1-111-1-11-1-1-1-111
χ7111111-1-11-1-11-1111111-111-1-11-1-11-1
χ8111111-1-11-1-11-11-11-111-111-1-1-111-11
χ9222222002222000-200-2200-2000000
χ10222222002-2-22000-200-2-2002000000
χ1122222200-200-2020202-20-2-20000000
χ1222222200-200-20-2020-2-20220000000
χ1322222222-200-2200-20020000-200000
χ14222222-2-2-200-2-200-20020000200000
χ154444-4-4000000002020000000-20000
χ164444-4-400000000-20-2000000020000
χ17444-400220220-2-200020-2000000000
χ18444-400220-2-20-22000-202000000000
χ19444-400-2-2022022000-20-2000000000
χ20444-400-2-20-2-202-2000202000000000
χ2144-400000-222−2220020-2000000002−200
χ2244-400000-222−22200-20200000000−2200
χ2344-400000-2−222220020-200000000−2200
χ2444-400000-2−2222200-202000000002−200
χ2588-800000400-400000000000000000
χ268-8004-4000000000000002i2−2i20000000
χ278-8004-400000000000000−2i22i20000000
χ288-800-444i−4i000000000000000000000
χ298-800-44−4i4i000000000000000000000

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