Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#15668036 |
| Fitting | C4×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15668036, #36523845, #36523859, … |
| maximal normal subgroup of | C8×#15668036, #36523845, #36523859, … |
| maximal quotient of | C8×#15668036, #36524006, #36524028, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13313);