Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14556618 |
| Fitting | C4×SD16×C73 ⋊ C2 |
| Sylow | C73 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1052 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33055395, C8×#14556618, #33055417, … |
| maximal normal subgroup of | #33055395, C8×#14556618, #33055417, … |
| maximal quotient of | C8×#14556618, #33055568, #33055588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13319);