Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C42×C17 ⋊ C4 |
| Sylow | C17 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,g^a=g^13,d^b=df,g^d=g^1686 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11763676, #14544454, #14544505, … |
| maximal normal subgroup of | C2×#11763676, #14544454, #14544505, … |
| maximal quotient of | #14543607, #14543608, #14543609, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1416);