Finite Group DatabasebetaFinite Group Databasebeta| order | 25072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic1567 |
| Sylow | C1567 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12536 |
Polycyclic presentation:
2^4,1567|a^2=d,b^a=bc,e^a=e^15666274 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25072, 18);