Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C17 ⋊ C4 |
| Sylow | C17 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^13,g^e=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543833, #14543836, #14543837, … |
| maximal normal subgroup of | #14543833, #14543836, #14543837, … |
| maximal quotient of | C8×#63247, C8×#63243, #14543987, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1512);