Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×D68 |
| Fitting | C2×C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10587494, #16924893, C8×#10587492, … |
| maximal normal subgroup of | C8×#10587494, #16924893, C8×#10587492, … |
| maximal quotient of | C2×C8×D136, C2×C8×#63219, C2×C8×Dic68, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13184);