Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of 3−1+2⋊Q8 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C9×#611⋊C3 |
| Fitting | C22×C9×3−1+2 ⋊ C2 |
| Sylow | C9×3−1+2 ⋊ D4 |
350 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | 3−1+2×#611⋊C3, #72228952, C2×C9×#611⋊C3 |
| maximal normal subgroup of | 3−1+2×#611⋊C3, #72228952, C2×C9×#611⋊C3 |
| maximal quotient of | C2×C9×#611⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1814);