Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #125×C181 ⋊ C2 |
| Sylow | C181 ⋊ #478 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^1801279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #478×D181, C2×#26041576, #37543503, … |
| maximal normal subgroup of | #478×D181, C2×#26041576, #37543503, … |
| maximal quotient of | #37533728, #37533967, #37533981, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 846);