Finite Group DatabasebetaFinite Group Databasebeta| order | 19696 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | (C2×D1231)⋊C4 |
| Fitting | C2×C4×C1231 ⋊ C2 |
| Sylow | C1231 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9848 |
Polycyclic presentation:
2^4,1231|a^2=d,b^a=bc,e^b=e^12304930 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19696, 17);