Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #343×C73 ⋊ C2 |
| Sylow | C73 ⋊ #1822 |
272 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=f,b^2=g,c^2=d,f^2=g,b^a=bd,c^a=ce,e^a=eg,h^b=h^72,f^c=fg824 conjugacy classes — view the full character table.
| maximal subgroup of | #32996672, #32996674, #32996682, … |
| maximal normal subgroup of | #32996672, #32996674, #32996682, … |
| maximal quotient of | #32979309, #32979312, #32979318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4592);