Finite Group DatabasebetaFinite Group Databasebeta| order | 14884 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C612 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C612 | C4 |
| prime radical, cosocle | C61×D61 | C2 |
| LCS | G ▷ C612 | |
| UCS | C1 | |
27 conjugacy classes of subgroups.
| transitive degree | μt(G) = 244 |
Polycyclic presentation:
2^2,61^2|a^2=b,c^a=c^50,d^a=d^60,c^b=c^60979 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14884, 11);