Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×C4⋊C4×D19 |
| Fitting | C4×C4⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D19×#1279, #18072073, #18072109, … |
| maximal normal subgroup of | D19×#1279, #18072073, #18072109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6843);