Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151712 |
| Fitting | C2×#104×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151712, #36552979, #36552986, … |
| maximal normal subgroup of | C4×#19151712, #36552979, #36552986, … |
| maximal quotient of | C2×#26019044, C2×#26019049, C2×#26019055, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13397);