Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14556687 |
| Sylow | C73 ⋊ C4×M32 |
196 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
224 conjugacy classes — view the full character table.
| maximal subgroup of | #34032862, #34032864, #34032907, … |
| maximal normal subgroup of | #34032862, #34032864, #34032907, … |
| maximal quotient of | C8×#14556687, #34033491, #34033506, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21668);