Finite Group DatabasebetaFinite Group Databasebeta| order | 14196 |
| isoclinism | isoclinic class of PSL(2,𝔽13) |
| automorphism | ? |
| homology | Abelianization (H1) = C13 · Schur multiplier (H2) = C2 |
| direct product | C13×PSL(2,𝔽13) |
| subgroup | G/H | |
|---|---|---|
| center, Fitting, hypercenter | C13 | PSL(2,𝔽13) |
| commutator, hypocenter | PSL(2,𝔽13) | C13 |
| Frattini | C1 | G |
| LCS | G ▷ PSL(2,𝔽13) | |
| UCS | C1 ◁ C13 | |
34 conjugacy classes of subgroups.
117 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14196, 457);