Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D17⋊#131 |
| Sylow | C17 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=e,e^2=f,g^a=g^13,c^b=cf,g^d=g^16,g^e=g^1680 conjugacy classes — view the full character table.
| maximal subgroup of | #14544560, #14544564, #14544823, … |
| maximal normal subgroup of | #14544560, #14544564, #14544823, … |
| maximal quotient of | #14545344, C4×#10587678, C4×#10587680, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1625);