Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D13⋊#104 |
| unambiguous semidirect product | D13⋊(C2×#104) |
| Fitting | C2×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
116 conjugacy classes — view the full character table.
| maximal subgroup of | #16785468, #16785469, #16785471, … |
| maximal normal subgroup of | #16785468, #16785469, #16785471, … |
| maximal quotient of | C2×D13⋊(D4⋊C8), C2×D13⋊(Q8⋊C8), C2×#13130127, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21134);