Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#17989551 |
| Sylow | C73 ⋊ C2×#405 |
592 conjugacy classes of subgroups; only the 298 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 298 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
440 conjugacy classes — view the full character table.
| maximal subgroup of | #34003446, #34003452, #34008309, … |
| maximal normal subgroup of | #34003446, #34003452, #34008309, … |
| maximal quotient of | C2×#22625132, C2×#22625136, C2×#22625142, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21069);