Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#14556650 |
| Fitting | C2×C42×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#99 |
412 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 96 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 | #34000368, #34000369, #34000621, … |
| maximal normal subgroup of | #34000368, #34000369, #34000621, … |
| maximal quotient of | C4×#17989431, C4×#17989432, #34003426, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20256);