Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#17988870 |
| Sylow | C73 ⋊ C2×#475 |
416 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1046 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17988870, #33093565, #33093638, … |
| maximal normal subgroup of | C4×#17988870, #33093565, #33093638, … |
| maximal quotient of | C2×#22609934, C2×#22610197, C2×#22610201, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14273);