Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1370 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=ce,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^10,h^d=h^27,h^f=h^72200 conjugacy classes — view the full character table.
| maximal subgroup of | #34032781, #34032782, #34032783, … |
| maximal normal subgroup of | #34032781, #34032782, #34032783, … |
| maximal quotient of | #34032801, #34032803, #34032887, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21574);