Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #92211 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C4×#92211 |
| Fitting | C4×H(3,𝔽3)⋊C9 ⋊ C2 |
| derived, Sylow | H(3,𝔽3)⋊C9 ⋊ C2×C4 |
337 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 337 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 324 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 529);