Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×(C2×#10596842)⋊C4 |
| Fitting | C22×C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×#336 |
528 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 191 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
224 conjugacy classes — view the full character table.
| maximal subgroup of | #34032729, #34032739, #34032743, … |
| maximal normal subgroup of | #34032729, #34032739, #34032743, … |
| maximal quotient of | C2×(C2×#10596842)⋊C8, #34033222, #34033223, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21643);