Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #540×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3122 |
418 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^c=h^72824 conjugacy classes — view the full character table.
| maximal subgroup of | #3122×D73, C2×#22620169, #33954346, … |
| maximal normal subgroup of | #3122×D73, C2×#22620169, #33954346, … |
| maximal quotient of | #33086070, #33089069, #33089114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14748);