Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719453 |
| Fitting | C22×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15769689, #15769693, #15769696, … |
| maximal normal subgroup of | #15769689, #15769693, #15769696, … |
| maximal quotient of | C2×#13123356, C2×#13123426, C2×#13123638, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 19257);