Finite Group DatabasebetaFinite Group Databasebeta| order | 8614 |
| isoclinism | isoclinic class of D73 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C59 · Schur multiplier (H2) = C1 |
| direct product | C59×D73 |
| unambiguous semidirect product | C73⋊(C2×C59) |
| Fitting, socle, Hall | C59×C73 ⋊ C2 |
| derived, Sylow | C73 ⋊ C2×C59 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C59 | D73 |
| commutator, hypocenter | C73 | C2×C59 |
| Frattini | C1 | G |
| Fitting, socle | C59×C73 | C2 |
| LCS | G ▷ C73 | |
| UCS | C1 ◁ C59 | |
8 conjugacy classes of subgroups.
2242 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C59×#64408, C59⋊#64408, D59×D73, … |
| maximal normal subgroup of | C59×#64408, C59⋊#64408, D59×D73, … |
| maximal quotient of | C59×Dic73, C2×C59×D73, C3×C59×D73, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8614, 2);