Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #424 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=d,e^2=f,b^a=bd,c^b=cf,g^b=g^1802908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531662, #37533996, #37533999, … |
| maximal normal subgroup of | #37531662, #37533996, #37533999, … |
| maximal quotient of | #37532491, #37532495, #37532499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 575);