Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q8×#64520 |
| Sylow | C19 ⋊ Q8×M16 |
388 conjugacy classes of subgroups; only the 241 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 241 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
410 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18076872, #18076876, #18076886, … |
| maximal normal subgroup of | #18076872, #18076876, #18076886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13464);