Finite Group DatabasebetaFinite Group Databasebeta| order | 2144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊Dic67 |
| Sylow | C67 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1072 |
548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16863162, #16863163, C4×C22⋊Dic67, … |
| maximal normal subgroup of | #16863162, #16863163, C4×C22⋊Dic67, … |
| maximal quotient of | C2×C67⋊#95, C4×C22⋊Dic67, #16863252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2144, 98);