Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#15668018 |
| Fitting | C2×C4×C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445101, #36445103, #36445106, … |
| maximal normal subgroup of | #36445101, #36445103, #36445106, … |
| maximal quotient of | C8×#15668018, #36520037, #36520088, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12930);