Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#17988370 |
| Fitting | C22×C16×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#350 |
224 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 224 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.
2360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33001031, C4×#17988370, #33001036, … |
| maximal normal subgroup of | #33001031, C4×#17988370, #33001036, … |
| maximal quotient of | C2×#22607856, #32995058, C2×#22607872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6133);