Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | Q16×C73 ⋊ C8 |
| Sylow | C73 ⋊ #1334 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=g,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^10,c^b=ceg,d^b=dg,e^b=eg,h^d=h^27,h^f=h^7295 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22626980, #34033728, #34033729, … |
| maximal normal subgroup of | C2×#22626980, #34033728, #34033729, … |
| maximal quotient of | #34032787, #34032788, #34032795, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21559);