Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #123×Dic89 |
| Sylow | C89 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #352×Dic89, #36470394, #458×Dic89, … |
| maximal normal subgroup of | #352×Dic89, #36470394, #458×Dic89, … |
| maximal quotient of | #386×Dic89, #388×Dic89, #385×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7033);