Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ D4⋊C16 |
110 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 42 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=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^27,c^b=ce,h^b=h^72,h^d=h^72416 conjugacy classes — view the full character table.
| maximal subgroup of | #34010340, C2×#22624882, #34010343, … |
| maximal normal subgroup of | #34010340, C2×#22624882, #34010343, … |
| maximal quotient of | #34000013, #34000015, #34000017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19461);