Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#17988756 |
| Fitting | C2×#104×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#453 |
844 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 844 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33091855, C4×#17988756, #33091899, … |
| maximal normal subgroup of | #33091855, C4×#17988756, #33091899, … |
| maximal quotient of | C2×#22608850, C2×#22608855, C2×#22608952, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13835);