Finite Group DatabasebetaFinite Group Databasebeta| order | 6552 |
| isoclinism | isoclinic class of Sp(2,𝔽13) |
| automorphism | ? |
| homology | Abelianization (H1) = C3 · Schur multiplier (H2) = C1 |
| direct product | C3×Sp(2,𝔽13) |
| subgroup | G/H | |
|---|---|---|
| center, Fitting, socle, hypercenter | C2×C3 | PSL(2,𝔽13) |
| commutator, hypocenter | Sp(2,𝔽13) | C3 |
| Frattini, cosocle | C2 | C3×PSL(2,𝔽13) |
| LCS | G ▷ Sp(2,𝔽13) | |
| UCS | C1 ◁ C2×C3 | |
53 conjugacy classes of subgroups.
51 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#72210876 |
| maximal normal subgroup of | C3×#72210876 |
Past the SmallGroups library coverage — no SmallGroups id.