Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#100×D73 |
| Fitting | C2×#100×C73 ⋊ C2 |
| Sylow | C73 ⋊ C22×#100 |
992 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 221 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 | #1390×D73, #33000929, #33003460, … |
| maximal normal subgroup of | #1390×D73, #33000929, #33003460, … |
| maximal quotient of | C2×#323×D73, #1460×D73, C2×#22608250, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 12975);