Finite Group DatabasebetaFinite Group Databasebeta| order | 11844 |
| isoclinism | isoclinic class of C22⋊ΓL(1,𝔽8) |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C47 · Schur multiplier (H2) = C2 |
| derived, Hall | C22×C7 ⋊ C9×C47 |
| Hall | C22×C7×C47 ⋊ C9 |
| Hall | C7×C47 ⋊ C22⋊C9 |
| Hall | C22×C47 ⋊ C7⋊C9 |
| Sylow | C7 ⋊ C22⋊C9×C47 |
| Sylow | C22 ⋊ C47×C7⋊C9 |
32 conjugacy classes of subgroups.
1692 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11844, 27);