Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C73 ⋊ #2129 |
238 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 73 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=e,b^2=g,c^2=g,d^2=g,b^a=bd,d^a=df,f^a=fg,h^a=h^72,c^b=cg,d^b=dg,e^b=efg,e^d=eg815 conjugacy classes — view the full character table.
| maximal subgroup of | #33001536, #33001537, #33001541, … |
| maximal normal subgroup of | #33001536, #33001537, #33001541, … |
| maximal quotient of | #32995100, #32995149, #32995282, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6185);