| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D17×#479 |
| Fitting | C17×#479 ⋊ C2 |
| Sylow | C17 ⋊ C2×#479 |
384 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
190 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D17×#479, D17×#3076, D17×#3078, … |
| maximal normal subgroup of | C2×D17×#479, D17×#3076, D17×#3078, … |
| maximal quotient of | D17×#1805, D17×#1863, D17×#1865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14283);