Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^10,d^b=dg,h^b=h^72,h^d=h^27,h^e=h^72188 conjugacy classes — view the full character table.
| maximal subgroup of | #34034411, C2×#22627026, #34034414, … |
| maximal normal subgroup of | #34034411, C2×#22627026, #34034414, … |
| maximal quotient of | #34033012, #34033056, #34033082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21605);