Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1537 |
194 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=f,c^2=g,d^2=g,e^2=f,b^a=bd,c^a=cg,d^a=df,h^a=h^72,d^b=dg,e^b=efg1034 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32978242, #32978245, #32978247, … |
| maximal normal subgroup of | #32978242, #32978245, #32978247, … |
| maximal quotient of | #32974085, #32974108, #32974285, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 3148);