Finite Group DatabasebetaFinite Group Databasebeta| order | 23024 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | (C2×D1439)⋊C4 |
| Fitting | C2×C4×C1439 ⋊ C2 |
| Sylow | C1439 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11512 |
Polycyclic presentation:
2^4,1439|a^2=d,b^a=bc,e^b=e^14385762 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23024, 17);