Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #336×C73 ⋊ C2 |
| Sylow | C73 ⋊ #2071 |
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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,c^2=d,f^2=g,b^a=bd,c^a=ce,c^b=cf,f^b=fg,h^b=h^72,f^c=fg,h^c=h^721472 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32975008, #32975009, #32975014, … |
| maximal normal subgroup of | #32975008, #32975009, #32975014, … |
| maximal quotient of | #32990686, #32990691, #32990706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 5915);