Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #323×C73 ⋊ C2 |
| Sylow | C73 ⋊ #1613 |
288 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 53 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=fg,d^2=f,b^a=bd,c^a=ce,d^a=df,h^a=h^72,d^b=df,e^b=eg,h^b=h^72,d^c=dg815 conjugacy classes — view the full character table.
| maximal subgroup of | #32998185, #32998186, #32998196, … |
| maximal normal subgroup of | #32998185, #32998186, #32998196, … |
| maximal quotient of | #32975009, #32975105, #32975112, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 3532);