Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#11926401 |
| Fitting | C22×C4⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
416 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18087787, #18087790, #18087815, … |
| maximal normal subgroup of | #18087787, #18087790, #18087815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6880);