Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11927268 |
| Fitting | C2×C19×C4⋊Q8 ⋊ C2 |
| Sylow | C19 ⋊ C2×#556 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18074269, #18074294, #18074641, … |
| maximal normal subgroup of | #18074269, #18074294, #18074641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 18060);