Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#14556648 |
| Sylow | C73 ⋊ C4×C22⋊C8 |
436 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 154 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #33999903, #33999912, #33999918, … |
| maximal normal subgroup of | #33999903, #33999912, #33999918, … |
| maximal quotient of | C8×#14556648, #34003386, #34003396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20234);