Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | #322×D89 |
| Fitting | #322×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1313×D89, #36463427, #36463479, … |
| maximal normal subgroup of | #1313×D89, #36463427, #36463479, … |
| maximal quotient of | #322×Dic89, #1273×D89, #36444850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2784);