Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #2161 |
140 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 140 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=df,d^2=fg,e^2=g,f^2=g,b^a=bd,d^a=df,f^a=fg,c^b=cg,h^b=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33001410, #33001412, #33001413, … |
| maximal normal subgroup of | #33001410, #33001412, #33001413, … |
| maximal quotient of | #32997571, #32997574, #32997635, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6304);