Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11927255 |
| Fitting | C2×C19×C4⋊Q8 ⋊ C2 |
| Sylow | C19 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18074299, #18074314, #18074648, … |
| maximal normal subgroup of | #18074299, #18074314, #18074648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 18045);