Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719410 |
| Fitting | C2×C13×#126 ⋊ C2 |
| Sylow | C13 ⋊ C2×#551 |
1328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
218 conjugacy classes — view the full character table.
| maximal subgroup of | #15829113, #15829191, C4×#11719410, … |
| maximal normal subgroup of | #15829113, #15829191, C4×#11719410, … |
| maximal quotient of | C2×#13117680, C2×#13117684, C2×#13117691, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18006);