Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Q8⋊#11924003 |
| Sylow | C73 ⋊ Q8⋊C16 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=e,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^72,c^b=ce1496 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q8⋊C16×D73, C2×Q8⋊#11924003, #32995785, … |
| maximal normal subgroup of | Q8⋊C16×D73, C2×Q8⋊#11924003, #32995785, … |
| maximal quotient of | #32972766, #32972796, #32972888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2489);