Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4⋊C4×Dic19 |
| Sylow | C19 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #324×Dic19, #18073055, #18075198, … |
| maximal normal subgroup of | #324×Dic19, #18073055, #18075198, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6847);