Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1574 |
158 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 158 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=d,c^2=f,d^2=f,e^2=g,b^a=bd,d^a=df,h^a=h^27,c^b=cfg,h^b=h^72,h^c=h^72,h^e=h^72398 conjugacy classes — view the full character table.
| maximal subgroup of | #34005672, #34005675, #34005676, … |
| maximal normal subgroup of | #34005672, #34005675, #34005676, … |
| maximal quotient of | #34002091, #34003999, #34004933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20088);