Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1321 |
112 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^27,c^b=cg,d^b=deg,d^c=dg,h^d=h^72386 conjugacy classes — view the full character table.
| maximal subgroup of | #34000791, #34000792, #34000793, … |
| maximal normal subgroup of | #34000791, #34000792, #34000793, … |
| maximal quotient of | #33999988, #33999990, #33999992, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19444);