Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11926281 |
| Sylow | C19 ⋊ C2×#328 |
336 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 608 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11926281, #328×Dic19, #18073428, … |
| maximal normal subgroup of | C4×#11926281, #328×Dic19, #18073428, … |
| maximal quotient of | C2×#14561458, C2×#14561461, #18070503, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2991);