Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C8×C22⋊#64408 |
| Fitting | C22×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C8×C22⋊C4 |
384 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 126 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 | #34000343, #34000344, #34000355, … |
| maximal normal subgroup of | #34000343, #34000344, #34000355, … |
| maximal quotient of | C8×C22⋊#10596833, C8×#14556648, #34003388, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20242);