Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | D17×#376 |
| Fitting | C17×#376 ⋊ C2 |
| Sylow | C17 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1274, #16923724, D17×#1300, … |
| maximal normal subgroup of | D17×#1274, #16923724, D17×#1300, … |
| maximal quotient of | C4×#95×D17, C4×#11762654, #376×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6835);