Finite Group DatabasebetaFinite Group Databasebeta| order | 1872 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C9×C13 ⋊ C2 |
| Hall | C9×C13 ⋊ M16 |
| Sylow | C13 ⋊ #3663 |
| Sylow | C9 ⋊ #6094 |
60 conjugacy classes of subgroups.
| minimal degree | μ(G) = 30 |
| transitive degree | μt(G) = 936 |
Polycyclic presentation:
2^4,3,13,3|b^2=c,c^2=d,e^3=g,b^a=bd,e^a=e^2g^2,f^a=f^12,g^a=g^2474 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1872, 95);