Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #1901 |
338 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 101 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=dfg,f^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^72,d^b=dg,f^b=fg,h^b=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32978260, #32978262, #32978274, … |
| maximal normal subgroup of | #32978260, #32978262, #32978274, … |
| maximal quotient of | #32981366, #32981371, #32981386, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4979);