Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11762639 |
| Sylow | C17 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16922026, #16922027, #16922028, … |
| maximal normal subgroup of | #16922026, #16922027, #16922028, … |
| maximal quotient of | C2×#14526856, C2×#14526858, #16945909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6302);