Finite Group DatabasebetaFinite Group Databasebeta| order | 2144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11761612 |
| Sylow | C67 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1072 |
548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16863152, C67⋊#338, #16863155, … |
| maximal normal subgroup of | #16863152, C67⋊#338, #16863155, … |
| maximal quotient of | C2×#14523954, C4×#11761612, C2×C22⋊(C67⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2144, 151);