Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×#41×C19 ⋊ C2 |
| Sylow | C19 ⋊ #3115 |
430 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^18,d^c=dg,f^c=fg392 conjugacy classes — view the full character table.
| maximal subgroup of | #18078346, #18078348, #18078353, … |
| maximal normal subgroup of | #18078346, #18078348, #18078353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 14661);