Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153806 |
| Sylow | C181 ⋊ C2×#125 |
226 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532075, C4×#19153806, #37536278, … |
| maximal normal subgroup of | #37532075, C4×#19153806, #37536278, … |
| maximal quotient of | C2×#26041143, C2×#26041160, C2×#26041161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1069);