Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic152 |
| Sylow | C19 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18069991, #18069993, #18069997, … |
| maximal normal subgroup of | #18069991, #18069993, #18069997, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6370);