Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153808 |
| Sylow | C181 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532076, #37532078, C2×#26041020, … |
| maximal normal subgroup of | #37532076, #37532078, C2×#26041020, … |
| maximal quotient of | C2×#26041145, C2×#26041163, C2×#26041177, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1071);