Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×M16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^46,e^b=eg,h^b=h^27,h^c=h^72,h^e=h^72,h^f=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #344×#64408, #34008310, #34008430, … |
| maximal normal subgroup of | #344×#64408, #34008310, #34008430, … |
| maximal quotient of | #34002246, #34002249, #34002254, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20222);