Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×D76 |
| Fitting | C4×M16×C19 ⋊ C2 |
| Sylow | C19 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
410 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18076866, #18076870, #18076880, … |
| maximal normal subgroup of | #18076866, #18076870, #18076880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13248);