Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×#64408 |
| Fitting | #102×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#102 |
396 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 106 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
308 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#102×#64408, #416×#64408, #418×#64408, … |
| maximal normal subgroup of | C2×#102×#64408, #416×#64408, #418×#64408, … |
| maximal quotient of | D4⋊C8×#64408, #34003534, #34003543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20277);