Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #1890 |
386 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 97 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,b^a=bd,c^a=ce,e^a=eg,h^a=h^72,e^b=eg,h^b=h^72,d^c=dg,f^c=fg1040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33001750, #33001752, #33001789, … |
| maximal normal subgroup of | #33001750, #33001752, #33001789, … |
| maximal quotient of | #32980675, #32980685, #32980964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4924);