Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14556654 |
| Fitting | C4×Q8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#103 |
332 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
416 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#14556654, #34003645, #34003650, … |
| maximal normal subgroup of | C8×#14556654, #34003645, #34003650, … |
| maximal quotient of | C4×Q8⋊#10596833, C4×#17989437, #34003535, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20278);