Finite Group DatabasebetaFinite Group Databasebeta| order | 38096 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#23749035 |
| unambiguous semidirect product | (C2×#23749035)⋊C2 |
| Fitting | C22×C2381 ⋊ C4 |
| Sylow | C2381 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9524 |
Polycyclic presentation:
2^4,2381|a^2=d,b^a=bc,e^a=e^2312,e^d=e^23802390 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38096, 45);