Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C181 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^1802920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531806, #37531808, #37531809, … |
| maximal normal subgroup of | #37531806, #37531808, #37531809, … |
| maximal quotient of | C8×#15668433, #37532004, #37532010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 504);