Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #469×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3184 |
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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=fg,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^c=dg,h^d=h^72608 conjugacy classes — view the full character table.
| maximal subgroup of | #32996829, #32996832, #33241211, … |
| maximal normal subgroup of | #32996829, #32996832, #33241211, … |
| maximal quotient of | #33086577, #33090298, #33090300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15243);