Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17988570 |
| Fitting | C2×#101×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#413 |
756 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
836 conjugacy classes — view the full character table.
| maximal subgroup of | #33000964, #33000970, #33003525, … |
| maximal normal subgroup of | #33000964, #33000970, #33003525, … |
| maximal quotient of | C2×#22608244, C2×#22608248, #33051796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 12984);