Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763438 |
| Sylow | C17 ⋊ C2×#544 |
1080 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16926139, #16926141, C2×#14527722, … |
| maximal normal subgroup of | #16926139, #16926141, C2×#14527722, … |
| maximal quotient of | C2×#14531401, C2×#14531403, C2×#14531514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17909);