Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#10587488 |
| Sylow | C17 ⋊ C22×#106 |
600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16940218, #16940220, #16940228, … |
| maximal normal subgroup of | #16940218, #16940220, #16940228, … |
| maximal quotient of | C22×#11762560, C2×#14527540, C2×#14527555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13082);