Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C9⋊A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C34 · Schur multiplier (H2) = C2×C35 |
| direct product | C2×C32×#1094 |
| Sylow | C23 ⋊ C32×3−1+2 |
2000 conjugacy classes of subgroups; only the 568 normal subgroups are shown.
This group has 2000 conjugacy classes of subgroups — too many to draw. Only its 568 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 162 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×C32×#1094 |
| maximal normal subgroup of | C22×C32×#1094 |
| maximal quotient of | C22×C32×#1094 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3744);