Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#17989463 |
| Sylow | C73 ⋊ C2×#341 |
392 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 146 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34000550, #34000558, #34000564, … |
| maximal normal subgroup of | #34000550, #34000558, #34000564, … |
| maximal quotient of | C2×#22624761, #34002062, #34002069, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20201);