Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17988397 |
| Sylow | C73 ⋊ C2×#360 |
232 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17988397, #360×Dic73, #33001275, … |
| maximal normal subgroup of | C4×#17988397, #360×Dic73, #33001275, … |
| maximal quotient of | C2×#22607898, C2×#22607901, #32995755, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6242);