Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11927025 |
| Fitting | C22×C4⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18087975, #18088019, #18088055, … |
| maximal normal subgroup of | #18087975, #18088019, #18088055, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 17705);