Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1579 |
160 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 64 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=e,b^2=f,c^2=e,d^2=f,e^2=g,b^a=bd,c^a=cf,d^a=df,h^a=h^46,d^b=df,h^c=h^27,h^e=h^72296 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22625525, #34018262, #34018269, … |
| maximal normal subgroup of | C2×#22625525, #34018262, #34018269, … |
| maximal quotient of | #34003651, #34003652, #34004020, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20104);