Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×D13×#124 |
| Fitting | C2×C13×#124 ⋊ C2 |
| Sylow | C13 ⋊ C22×#124 |
1880 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #15754384, #15778406, #15778423, … |
| maximal normal subgroup of | #15754384, #15778406, #15778423, … |
| maximal quotient of | C2×D13×#382, C2×D13×#388, C2×D13×#390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17755);