Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #465×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3063 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,d^c=dg,h^d=h^72824 conjugacy classes — view the full character table.
| maximal subgroup of | #3063×D73, C2×#22619615, #33953235, … |
| maximal normal subgroup of | #3063×D73, C2×#22619615, #33953235, … |
| maximal quotient of | #33069472, #33069494, #33069516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14194);