Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C181 ⋊ #431 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^1802920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531549, #37531550, #37531551, … |
| maximal normal subgroup of | #37531549, #37531550, #37531551, … |
| maximal quotient of | #37533467, C4×C22⋊#13089678, C4×C4⋊#13089678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 602);