Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ #1844 |
280 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 114 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=f,b^2=d,c^2=e,d^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^27,h^f=h^72620 conjugacy classes — view the full character table.
| maximal subgroup of | #34000580, #34000606, #34000607, … |
| maximal normal subgroup of | #34000580, #34000606, #34000607, … |
| maximal quotient of | #34005469, #34005470, #34005471, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20445);