Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #331 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,c^2=f,d^2=ef,b^a=bc,c^a=ce,g^a=g^180,c^b=cf,d^b=def1279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531865, #37531866, #331×D181, … |
| maximal normal subgroup of | #37531865, #37531866, #331×D181, … |
| maximal quotient of | #37531542, #37531604, #37531758, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 293);