Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | D17×#344 |
| Fitting | C17×#344 ⋊ C2 |
| Sylow | C17 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D17×#344, #17031779, D17×#1757, … |
| maximal normal subgroup of | C2×D17×#344, #17031779, D17×#1757, … |
| maximal quotient of | D17×#1281, #16923953, #16923956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4250);