Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17989404 |
| Fitting | C2×#131×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#578 |
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1484 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33001674, #33001677, #33001684, … |
| maximal normal subgroup of | #33001674, #33001677, #33001684, … |
| maximal quotient of | C2×#22618465, C2×#22618531, C2×#22618776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19277);