Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | D17×#492 |
| Fitting | C17×#492 ⋊ C2 |
| Sylow | C17 ⋊ C2×#492 |
656 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1359, D17×#1409, D17×#1410, … |
| maximal normal subgroup of | D17×#1359, D17×#1409, D17×#1410, … |
| maximal quotient of | D17×#1705, D17×#1706, D17×#1707, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14914);