Finite Group DatabasebetaFinite Group Databasebeta| order | 9506 |
| isoclinism | isoclinic class of D97 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C49 · Schur multiplier (H2) = C1 |
| direct product | C49×D97 |
| unambiguous semidirect product | C97⋊(C2×C49) |
| Fitting, Hall | C49×C97 ⋊ C2 |
| derived, Sylow | C97 ⋊ C2×C49 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C49 | D97 |
| commutator, hypocenter | C97 | C2×C49 |
| Frattini | C7 | C7×D97 |
| Fitting | C49×C97 | C2 |
| socle, cosocle | C7×C97 | C2×C7 |
| prime radical | C7×D97 | C7 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C49 | |
12 conjugacy classes of subgroups.
2450 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C49×#87604, C49⋊#87604, D49×D97, … |
| maximal normal subgroup of | C49×#87604, C49⋊#87604, D49×D97, … |
| maximal quotient of | C49×Dic97, C2×C49×D97, C3×C49×D97, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9506, 3);