Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C73 ⋊ C4 |
| Sylow | C73 ⋊ #1378 |
132 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 52 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,b^2=e,d^2=f,f^2=g,b^a=bc,e^a=eg,c^b=cg,h^b=h^27,h^e=h^72620 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22624980, #34012144, #34012343, … |
| maximal normal subgroup of | C2×#22624980, #34012144, #34012343, … |
| maximal quotient of | #34000155, #34000167, #34000177, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19559);