Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11926596 |
| Fitting | C2×C19×C4⋊C8 ⋊ C2 |
| Sylow | C19 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18071996, #18071999, #18072017, … |
| maximal normal subgroup of | #18071996, #18071999, #18072017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13125);