Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#3622 |
| Sylow | C17 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #14527581, SD16×#3622, #14527588, … |
| maximal normal subgroup of | #14527581, SD16×#3622, #14527588, … |
| maximal quotient of | C4⋊C4×#3622, #14529343, #14529503, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 675);