Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×D4⋊#10596842 |
| Fitting | C2×D4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×D4⋊C8 |
344 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
146 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D4⋊#10596842, #34033271, #102×#10596842, … |
| maximal normal subgroup of | C4×D4⋊#10596842, #34033271, #102×#10596842, … |
| maximal quotient of | C2×#22626930, C2×#22626931, #34033171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21626);