Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #470×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3256 |
354 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^72,c^b=ceg,f^c=fg,h^c=h^72,h^d=h^72602 conjugacy classes — view the full character table.
| maximal subgroup of | #32998520, #32998524, #32999370, … |
| maximal normal subgroup of | #32998520, #32998524, #32999370, … |
| maximal quotient of | #33095944, #33096388, #33098136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15912);