Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×C22⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ #2364 |
716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=g,b^2=g,c^2=ef,b^a=be,c^a=cf,h^a=h^18,d^b=de410 conjugacy classes — view the full character table.
| maximal subgroup of | #18079097, #18079101, #18079111, … |
| maximal normal subgroup of | #18079097, #18079101, #18079111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 7560);