Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | D17×#341 |
| Fitting | C17×#341 ⋊ C2 |
| Sylow | C17 ⋊ C2×#341 |
392 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1349, D17×#1350, #16944575, … |
| maximal normal subgroup of | D17×#1349, D17×#1350, #16944575, … |
| maximal quotient of | D17×#1277, #16923781, #16923788, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4232);