Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719474 |
| Fitting | C2×C13×#135 ⋊ C2 |
| Sylow | C13 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15778605, #15778613, #15778640, … |
| maximal normal subgroup of | #15778605, #15778613, #15778640, … |
| maximal quotient of | C2×#13123358, C2×#13123433, C2×#13123663, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19260);