Finite Group DatabasebetaFinite Group Databasebeta| order | 38612 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C49 · Schur multiplier (H2) = C1 |
| direct product | C49×#11716161 |
| Fitting, Hall | C49×C197 ⋊ C4 |
| derived, Sylow | C197 ⋊ C4×C49 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C49 | #11716161 |
| commutator, hypocenter | C197 | C4×C49 |
| Frattini | C7 | C7×#11716161 |
| Fitting | C49×C197 | C4 |
| socle | C7×C197 | C4×C7 |
| prime radical, cosocle | C7×D197 | C2×C7 |
| LCS | G ▷ C197 | |
| UCS | C1 ◁ C49 | |
18 conjugacy classes of subgroups.
2597 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38612, 11);