Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C181 ⋊ #533 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^1802908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532123, #37532125, #37532141, … |
| maximal normal subgroup of | #37532123, #37532125, #37532141, … |
| maximal quotient of | #37536128, #37536198, #37536204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1106);