Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #6189 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×#6195 |
| Sylow | C3×C92 ⋊ D4 |
290 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 57 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
297 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72229019, D3×C9×#611, #72259258, … |
| maximal normal subgroup of | #72229019, D3×C9×#611, #72259258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1141);