Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19151340 |
| Sylow | C89 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151340, #330×Dic89, #36445354, … |
| maximal normal subgroup of | C4×#19151340, #330×Dic89, #36445354, … |
| maximal quotient of | C2×#26018075, #36442400, #36442654, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 3094);