Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11762551 |
| Sylow | C17 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
262 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11762551, #330×Dic17, #16925250, … |
| maximal normal subgroup of | C4×#11762551, #330×Dic17, #16925250, … |
| maximal quotient of | C2×#14526607, #16922296, #16922550, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 3094);