Finite Group DatabasebetaFinite Group Databasebeta| order | 20400 |
| isoclinism | isoclinic class of SL(2,𝔽16) |
| automorphism | ? |
| homology | Abelianization (H1) = C5 · Schur multiplier (H2) = C1 |
| direct product | C5×SL(2,𝔽16) |
| subgroup | G/H | |
|---|---|---|
| center, Fitting, hypercenter | C5 | SL(2,𝔽16) |
| commutator, hypocenter | SL(2,𝔽16) | C5 |
| Frattini | C1 | G |
| LCS | G ▷ SL(2,𝔽16) | |
| UCS | C1 ◁ C5 | |
54 conjugacy classes of subgroups.
85 conjugacy classes — view the full character table.
| maximal subgroup of | C3×C5×SL(2,𝔽16) |
| maximal normal subgroup of | C3×C5×SL(2,𝔽16) |
| maximal quotient of | C3×C5×SL(2,𝔽16) |
Past the SmallGroups library coverage — no SmallGroups id.