Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #431 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^13,g^b=g^16,g^c=g^16,g^e=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543611, #14543616, #14543639, … |
| maximal normal subgroup of | #14543611, #14543616, #14543639, … |
| maximal quotient of | #14544499, C4×#10587543, C4×C4⋊#3624, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1568);