Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#19151498 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#390 |
1360 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36453250, #36453268, C4×#19151498, … |
| maximal normal subgroup of | #36453250, #36453268, C4×#19151498, … |
| maximal quotient of | C2×#26018480, C2×#26018488, C2×#26018489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6964);