Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10587499 |
| Fitting | C2×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
134 conjugacy classes — view the full character table.
| maximal subgroup of | #14530633, C4×#10587499, #14530646, … |
| maximal normal subgroup of | #14530633, C4×#10587499, #14530646, … |
| maximal quotient of | C2×#11762609, C2×#11762613, C2×#11762636, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 972);