Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C17 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=e,d^2=f,b^a=bc,g^a=g^13,g^d=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543600, #14543601, #14543602, … |
| maximal normal subgroup of | #14543600, #14543601, #14543602, … |
| maximal quotient of | #14543606, #14543608, #14543610, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1415);