Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151563 |
| Fitting | C2×C22⋊C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#408 |
792 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463491, C4×#19151563, #36551955, … |
| maximal normal subgroup of | #36463491, C4×#19151563, #36551955, … |
| maximal quotient of | C2×#26018597, C2×#26018599, C2×#26018602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12948);