Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19153837 |
| Fitting | C2×SD16×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#135 |
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19153837, #37542516, #37542593, … |
| maximal normal subgroup of | C4×#19153837, #37542516, #37542593, … |
| maximal quotient of | C2×#26041272, C2×#26041274, C2×#26041314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1330);