Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×#64408 |
| Fitting | AGL(1,ℤ/8)×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
242 conjugacy classes — view the full character table.
| maximal subgroup of | #453×#64408, #454×#64408, #34022878, … |
| maximal normal subgroup of | #453×#64408, #454×#64408, #34022878, … |
| maximal quotient of | AGL(1,ℤ/8)×#10596833, #34018275, #34018276, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21265);