Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762737 |
| Sylow | C17 ⋊ C2×#397 |
820 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11762737, #16956147, #16959677, … |
| maximal normal subgroup of | C4×#11762737, #16956147, #16959677, … |
| maximal quotient of | C2×#14527027, C2×#14527031, C2×#14527033, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7737);