Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#17988310 |
| Fitting | C2×C22⋊C8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 109 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 | #32976485, C4×#17988310, #32976493, … |
| maximal normal subgroup of | #32976485, C4×#17988310, #32976493, … |
| maximal quotient of | C2×#22607751, C2×#22607756, #32973934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2816);