Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C17 ⋊ C4 |
| Sylow | C17 ⋊ #427 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^13,g^e=g^1692 conjugacy classes — view the full character table.
| maximal subgroup of | #14543846, #14543847, #14543851, … |
| maximal normal subgroup of | #14543846, #14543847, #14543851, … |
| maximal quotient of | #14544331, #14544332, #14544333, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1559);