Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C4×#10597399 |
| Fitting | C24×C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ C4×#120 |
1224 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 1224 conjugacy classes of subgroups — too many to draw. Only its 277 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 608 |
632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18077221, #18077231 |
| maximal normal subgroup of | #18077221, #18077231 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 7012);