Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C8×D17 |
| Fitting | C2×C4×C8×C17 ⋊ C2 |
| derived, Sylow | C17 ⋊ C22×C4×C8 |
760 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1273, #16923704, #16923708, … |
| maximal normal subgroup of | D17×#1273, #16923704, #16923708, … |
| maximal quotient of | C2×C82×D17, C2×D17×#322, C8×M16×D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12909);