Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151580 |
| Fitting | C22×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459764, #36459767, #36459774, … |
| maximal normal subgroup of | #36459764, #36459767, #36459774, … |
| maximal quotient of | C2×#26018564, C2×#26018568, #36520239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12983);