Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×Q8×D19 |
| Fitting | C2×C4×Q8×C19 ⋊ C2 |
| Sylow | C19 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18073908 |
| maximal normal subgroup of | #18073908 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 17683);