Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1568 |
168 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 81 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=e,b^2=d,c^2=f,d^2=f,e^2=g,b^a=bd,c^a=cg,d^a=df,h^b=h^721052 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32978928, #32978929, #32978932, … |
| maximal normal subgroup of | #32978928, #32978929, #32978932, … |
| maximal quotient of | #32975452, #32977174, #32977178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 3271);