Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D181⋊#131 |
| Sylow | C181 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,e^2=f,g^a=g^162,c^b=cf,g^d=g^180,g^e=g^180490 conjugacy classes — view the full character table.
| maximal subgroup of | #37549497, #37549501, #37549760, … |
| maximal normal subgroup of | #37549497, #37549501, #37549760, … |
| maximal quotient of | #37550281, C4×#19153903, C4×#19153904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1625);