Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#17989467 |
| Sylow | C73 ⋊ C2×#343 |
432 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 146 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34000519, #34000521, C4×#17989467, … |
| maximal normal subgroup of | #34000519, #34000521, C4×#17989467, … |
| maximal quotient of | C2×#22624769, #34002215, #34002218, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20212);