Finite Group DatabasebetaFinite Group Databasebeta| order | 2028 |
| isoclinism | isoclinic class of #11759813 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | C2×#11759813 |
| Fitting, socle | C2×C132 ⋊ D3 |
| derived, Hall | #92789 ⋊ C22 |
| Sylow | C132 ⋊ C2×D3 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | #11759813 |
| commutator, cosocle, hypocenter | #92789 | C22 |
| Frattini | C1 | G |
| Fitting, socle | C2×C132 | D3 |
| LCS | G ▷ #92789 | |
| UCS | C1 ◁ C2 | |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 52 |
98 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2028, 63);