Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#15668038 |
| Fitting | C2×C4×D4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36449049, #36449055, #36449063, … |
| maximal normal subgroup of | #36449049, #36449055, #36449063, … |
| maximal quotient of | C8×#15668038, #36524011, #36524031, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13318);