Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11926312 |
| Sylow | C19 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
404 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #343×Dic19, C4×#11926312, #18087805, … |
| maximal normal subgroup of | #343×Dic19, C4×#11926312, #18087805, … |
| maximal quotient of | C2×#14561477, #18072135, #18072138, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4245);