Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | D17×#364 |
| Fitting | C17×#364 ⋊ C2 |
| Sylow | C17 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 272 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1335, #16944109, D17×#1336, … |
| maximal normal subgroup of | D17×#1335, #16944109, D17×#1336, … |
| maximal quotient of | D17×#1367, #16945867, D17×#1370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6271);