Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#17989687 |
| Sylow | C73 ⋊ C2×#350 |
224 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 71 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
146 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17989687, #34034098, #34034113, … |
| maximal normal subgroup of | C4×#17989687, #34034098, #34034113, … |
| maximal quotient of | C2×#22626954, #34033536, C2×#22626966, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21689);