Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#10597390 |
| Sylow | C19 ⋊ C4×C4⋊Q8 |
588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
416 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18077186, #18077187, #18077189, … |
| maximal normal subgroup of | #18077186, #18077187, #18077189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 7078);