Finite Group DatabasebetaFinite Group Databasebeta| order | 19404 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C11 · Schur multiplier (H2) = C3 |
| direct product | C3×C11×#10596874 |
| derived, Sylow | C72 ⋊ C32×C4×C11 |
| Hall | C3×C11×#3861 ⋊ C4 |
| Hall | C11×C7⋊Dic7 ⋊ C32 |
| Hall | C72×C11 ⋊ C32×C4 |
| Hall | C3×#3861 ⋊ C4×C11 |
| Hall | C7⋊Dic7 ⋊ C32×C11 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6468 |
924 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19404, 248);