Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19153904 |
| Sylow | C181 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
490 conjugacy classes — view the full character table.
| maximal subgroup of | #37549480, #37549498, #37549502, … |
| maximal normal subgroup of | #37549480, #37549498, #37549502, … |
| maximal quotient of | C2×#26042244, C4×#19153904, C2×#26042254, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1626);