Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #4174 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23 |
| direct product | C22×#272⋊C9 |
| Fitting | C22×H(3,𝔽3)⋊C9 ⋊ C2 |
| derived | H(3,𝔽3) ⋊ C23×C9 |
| Sylow | H(3,𝔽3)⋊C9 ⋊ C23 |
509 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 509 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 324 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1049);