Finite Group DatabasebetaFinite Group Databasebeta| order | 9282 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C1 |
| direct product | D17×#63270 |
| unambiguous semidirect product | C17⋊(C2×#63270) |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C7×C13×C17 | C2×C3 |
| LCS | G ▷ C7×C13×C17 | |
| UCS | C1 | |
32 conjugacy classes of subgroups.
330 conjugacy classes — view the full character table.
| maximal subgroup of | #32915472, D17×#10587722, #32915488, … |
| maximal normal subgroup of | #32915472, D17×#10587722, #32915488, … |
| maximal quotient of | Dic17×#63270, C2×D17×#63270, D17×#11717941, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9282, 23);