Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | SD16×Dic34 |
| Sylow | C17 ⋊ Q8×SD16 |
370 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
259 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17023817, #17023826, #17023877, … |
| maximal normal subgroup of | #17023817, #17023826, #17023877, … |
| maximal quotient of | #102×Dic34, #103×Dic34, SD16×#63225, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17368);