Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #428×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3092 |
458 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 129 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|c^2=e,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,h^a=h^72,h^b=h^72,f^c=fg824 conjugacy classes — view the full character table.
| maximal subgroup of | #33118780, #33118787, #33118788, … |
| maximal normal subgroup of | #33118780, #33118787, #33118788, … |
| maximal quotient of | #33085781, #33086715, #33087211, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14436);