Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11926284 |
| Sylow | C19 ⋊ C2×#329 |
284 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18070283, #18070284, #18070289, … |
| maximal normal subgroup of | #18070283, #18070284, #18070289, … |
| maximal quotient of | C2×#14561456, C2×#14561461, #18070508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 3091);