Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1401 |
72 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,h^a=h^10,c^b=cg,d^b=dg,h^d=h^27,h^e=h^72146 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22627027, #34034417, #34034419, … |
| maximal normal subgroup of | C2×#22627027, #34034417, #34034419, … |
| maximal quotient of | #34033013, #34033057, D4⋊#14556681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21606);