Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C181 ⋊ C2 |
| Sylow | C181 ⋊ #407 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^1801828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531656, #37533640, #37533643, … |
| maximal normal subgroup of | #37531656, #37533640, #37533643, … |
| maximal quotient of | #37532047, #37532050, #37532053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 512);