Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#17989706 |
| Sylow | C73 ⋊ C22×M32 |
400 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 199 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
224 conjugacy classes — view the full character table.
| maximal subgroup of | #34034042, #34034045, C2×#22627003, … |
| maximal normal subgroup of | #34034042, #34034045, C2×#22627003, … |
| maximal quotient of | C2×#22627087, C2×C4×#14556687, C4×#17989706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21758);