Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×M16×Dic19 |
| Sylow | C19 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | H(3,ℤ/4)×Dic19, #338×Dic19, #339×Dic19, … |
| maximal normal subgroup of | H(3,ℤ/4)×Dic19, #338×Dic19, #339×Dic19, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 12917);