Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #2153 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=d,d^2=g,e^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^27,c^b=cg,h^b=h^72,h^e=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #34011688, #34011689, #34011691, … |
| maximal normal subgroup of | #34011688, #34011689, #34011691, … |
| maximal quotient of | #34011720, #34011746, #34011776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20853);