Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #340×C73 ⋊ C2 |
| Sylow | C73 ⋊ #1809 |
316 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 316 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=d,d^2=g,b^a=bd,c^a=ce,d^a=dg,c^b=cg,h^b=h^72,h^c=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1809×D73, C2×#22609963, #33085559, … |
| maximal normal subgroup of | #1809×D73, C2×#22609963, #33085559, … |
| maximal quotient of | #32978826, #32978839, #32978885, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4542);