Finite Group DatabasebetaFinite Group Databasebeta| order | 38224 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#23750941 |
| unambiguous semidirect product | (C2×#23750941)⋊C2 |
| Fitting | C22×C2389 ⋊ C4 |
| Sylow | C2389 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9556 |
Polycyclic presentation:
2^4,2389|a^2=d,b^a=bc,e^a=e^2104,e^d=e^23882398 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38224, 45);