Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×M16×D19 |
| Fitting | C22×M16×C19 ⋊ C2 |
| Sylow | C19 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18087773, (C2×D19)⋊#338, #18087811, … |
| maximal normal subgroup of | #18087773, (C2×D19)⋊#338, #18087811, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 19210);