Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1611 |
210 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 51 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=g,b^2=f,c^2=g,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=eg,d^c=dg,h^c=h^72707 conjugacy classes — view the full character table.
| maximal subgroup of | #1611×D73, C2×#22608937, #33058239, … |
| maximal normal subgroup of | #1611×D73, C2×#22608937, #33058239, … |
| maximal quotient of | #32975059, #32975061, #32975085, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 3516);