Finite Group DatabasebetaFinite Group Databasebeta| order | 9282 |
| isoclinism | isoclinic class of D91 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C17 · Schur multiplier (H2) = C1 |
| direct product | C3×C17×D91 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3×C17 | D91 |
| commutator, hypocenter | C7×C13 | C2×C3×C17 |
| Frattini | C1 | G |
| Fitting, socle | C3×C7×C13×C17 | C2 |
| LCS | G ▷ C7×C13 | |
| UCS | C1 ◁ C3×C17 | |
32 conjugacy classes of subgroups.
2397 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D17×D91, C3×D7×C17×D13, C3×D91⋊D17, … |
| maximal normal subgroup of | C3×D17×D91, C3×D7×C17×D13, C3×D91⋊D17, … |
| maximal quotient of | C3×C17×Dic91, C2×C3×C17×D91, C9×C17×D91, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9282, 11);