Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#15668020 |
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445099, #36445104, #36445109, … |
| maximal normal subgroup of | #36445099, #36445104, #36445109, … |
| maximal quotient of | C8×#15668020, #36520041, #36520091, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12934);