Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C16×Dic34 |
| Sylow | C17 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921800, #16921802, C16×#63229, … |
| maximal normal subgroup of | #16921800, #16921802, C16×#63229, … |
| maximal quotient of | C16×C4⋊Dic17, C16×#63225, #16951938, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6413);