Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #428×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3056 |
496 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 143 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^72,d^b=dg,h^c=h^72824 conjugacy classes — view the full character table.
| maximal subgroup of | #33123419, #33123422, #33123441, … |
| maximal normal subgroup of | #33123419, #33123422, #33123441, … |
| maximal quotient of | #33068764, #33068786, #33068808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14141);