Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D8×D292 |
| Fitting | C4×D8×C73 ⋊ C2 |
| Sylow | C73 ⋊ D4×D8 |
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1043 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32999407, #32999411, #32999435, … |
| maximal normal subgroup of | #32999407, #32999411, #32999435, … |
| maximal quotient of | #33075336, #33075351, #33075366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16186);