Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C73 ⋊ #1422 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=c,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^10,h^b=h^72,h^d=h^27,h^e=h^72200 conjugacy classes — view the full character table.
| maximal subgroup of | #34034432, C2×#22627032, #34034435, … |
| maximal normal subgroup of | #34034432, C2×#22627032, #34034435, … |
| maximal quotient of | #34033108, #34033116, #34033133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21611);