Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C181 ⋊ M64 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^162,g^c=g^180760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548832, #37548833, #37548836, … |
| maximal normal subgroup of | #37548832, #37548833, #37548836, … |
| maximal quotient of | #37548828, C22⋊#19153866, C4⋊#19153866, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1481);