Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | D8×C73 ⋊ C8 |
| Sylow | C73 ⋊ #1331 |
110 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 31 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=d,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^10,c^b=ce,e^b=eg,h^d=h^27,h^f=h^72107 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22626977, #34033722, #34033723, … |
| maximal normal subgroup of | C2×#22626977, #34033722, #34033723, … |
| maximal quotient of | #34032781, #34032782, #34032789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21556);