Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic89 |
| Sylow | C89 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic89, #36560316, #456×Dic89, … |
| maximal normal subgroup of | #455×Dic89, #36560316, #456×Dic89, … |
| maximal quotient of | #137×#10623494, #36524024, #36524047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13331);