Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#17988971 |
| Fitting | C2×C4×C8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#495 |
592 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32985525, #32985527, #32985549, … |
| maximal normal subgroup of | #32985525, #32985527, #32985549, … |
| maximal quotient of | C2×#22609523, C2×#22609528, C2×#22609532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14931);