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,g^a=g^180,c^b=cf,g^b=g^1801840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533475, #37533477, #37533520, … |
| maximal normal subgroup of | #37533475, #37533477, #37533520, … |
| maximal quotient of | M16×#13089678, #37532005, #37532008, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 507);