Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×#63252 |
| Fitting | C22×C42×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925698, #16925701, #16939730, … |
| maximal normal subgroup of | #16925698, #16925701, #16939730, … |
| maximal quotient of | C2×C4×#10587612, C2×C4×#10587558, C2×C42×C22⋊D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17690);