Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11762567 |
| Sylow | C17 ⋊ C2×#338 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921458, #16921460, #16921464, … |
| maximal normal subgroup of | #16921458, #16921460, #16921464, … |
| maximal quotient of | C2×#14526614, C2×#14526615, #16923742, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4213);