Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#124×D89 |
| Fitting | C2×#124×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#124 |
1880 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445893, #36469915, #36469932, … |
| maximal normal subgroup of | #36445893, #36469915, #36469932, … |
| maximal quotient of | C2×#382×D89, C2×#388×D89, C2×#390×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17755);