Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C9 · Schur multiplier (H2) = C2×C33 |
| direct product | C2×A4×C9⋊C9 |
| Fitting | C23×C9⋊C9 ⋊ C3 |
| Sylow | C23 ⋊ C3×C9⋊C9 |
428 conjugacy classes of subgroups; only the 172 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 172 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 486 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×A4×#6875, C2×C22⋊A4×C9⋊C9, C2×#72229281, … |
| maximal normal subgroup of | C2×A4×#6875 |
| maximal quotient of | C2×A4×#6875, C2×C22⋊A4×C9⋊C9, C2×#72229281 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2764);