Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C4×#63223 |
| Sylow | C17 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16923706, #16923707, #16923712, … |
| maximal normal subgroup of | #16923706, #16923707, #16923712, … |
| maximal quotient of | C2×C8×#63223, C2×#14527073, C2×#14527081, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12919);