Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D17×SD64 |
| Fitting | C17×SD64 ⋊ C2 |
| Sylow | C17 ⋊ C2×SD64 |
112 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 37 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
190 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D17×SD64, D17×#2262, D17×#2263, … |
| maximal normal subgroup of | C2×D17×SD64, D17×#2262, D17×#2263, … |
| maximal quotient of | D17×#1415, D17×#1416, D17×#1424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6809);