Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #443 |
106 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^180,d^b=df,g^c=g^1801288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535599, #37535602, #37535604, … |
| maximal normal subgroup of | #37535599, #37535602, #37535604, … |
| maximal quotient of | D8×#13089678, SD16×#13089678, Q16×#13089678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 666);