Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #461 |
120 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^180,e^c=ef1819 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532900, #37532902, #37532921, … |
| maximal normal subgroup of | #37532900, #37532902, #37532921, … |
| maximal quotient of | #37533096, #37533110, #37533120, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 754);