Finite Group DatabasebetaFinite Group Databasebeta| order | 968 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×C11⋊C8 |
| unambiguous semidirect product | C11⋊(C8×C11) |
| derived | C11 ⋊ C8×C11 |
| Sylow | C112 ⋊ C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4×C11 | D11 |
| commutator, hypocenter | C11 | C8×C11 |
| Frattini | C4 | C11×D11 |
| Fitting | C4×C112 | C2 |
| socle, prime radical | C2×C112 | C4 |
| cosocle | C4×C11 | C2×C11 |
| LCS | G ▷ C11 | |
| UCS | C1 ◁ C4×C11 | |
31 conjugacy classes of subgroups.
| transitive degree | μt(G) = 88 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×C11⋊C8, #14515454, #14515455, … |
| maximal normal subgroup of | D11×C11⋊C8, #14515454, #14515455, … |
| maximal quotient of | C11×C11⋊C16, C2×C11×C11⋊C8 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(968, 13);