Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C34 · Schur multiplier (H2) = C2×C35 |
| direct product | C2×A4×#737 |
| Fitting | C23×#737 ⋊ C3 |
| Sylow | C23 ⋊ C3×#737 |
1092 conjugacy classes of subgroups; only the 490 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 490 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 162 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3741);