Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11718485 |
| Fitting | C2×C13×#104 ⋊ C2 |
| Sylow | C13 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11718485, #15861470, #15861477, … |
| maximal normal subgroup of | C4×#11718485, #15861470, #15861477, … |
| maximal quotient of | C2×#13113628, C2×#13113633, C2×#13113639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13397);