Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊#10596833 |
| Sylow | C73 ⋊ C4×C4⋊C8 |
316 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 166 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #33999891, #33999892, #33999908, … |
| maximal normal subgroup of | #33999891, #33999892, #33999908, … |
| maximal quotient of | C8×C4⋊#10596833, #34003922, #34003932, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20292);