Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×C22⋊Dic17 |
| Sylow | C17 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16923917, #16923929, C2×#14526630, … |
| maximal normal subgroup of | #16923917, #16923929, C2×#14526630, … |
| maximal quotient of | C2×C4×#10587502, C42×C22⋊Dic17, C2×#14527007, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6840);