Finite Group DatabasebetaFinite Group Databasebeta| order | 9886 |
| automorphism | Aut(G) order 24428306 |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C1 |
| dihedral | D4943 |
| unambiguous semidirect product | C4943⋊C2 |
| Fitting, socle, derived, Sylow | C4943 ⋊ C2 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C4943 | C2 |
| LCS | G ▷ C4943 | |
| UCS | C1 | |
4 conjugacy classes of subgroups.
Polycyclic presentation:
2,4943|b^a=b^49422473 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D4943, C3×D4943, D14829 |
| maximal normal subgroup of | C2×D4943, C3×D4943 |
| maximal quotient of | Dic4943, C2×D4943, C3×D4943, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9886, 1);