Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#17989460 |
| Fitting | C2×C4⋊C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
416 conjugacy classes — view the full character table.
| maximal subgroup of | #340×#64408, C4×#17989460, #34008277, … |
| maximal normal subgroup of | #340×#64408, C4×#17989460, #34008277, … |
| maximal quotient of | C2×#22624760, #34002067, #34002077, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20193);