Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#14556652 |
| Sylow | C73 ⋊ C22×#101 |
736 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 218 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34008486, #34008487, #34008507, … |
| maximal normal subgroup of | #34008486, #34008487, #34008507, … |
| maximal quotient of | C22×#17989432, C22×#17989433, C2×#22625173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21115);