Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D17×#385 |
| Fitting | C17×#385 ⋊ C2 |
| Sylow | C17 ⋊ C2×#385 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1326, #16943739, D17×#1867, … |
| maximal normal subgroup of | D17×#1326, #16943739, D17×#1867, … |
| maximal quotient of | D17×C22⋊#95, D17×#1436, #16955488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6918);