Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×C22⋊Dic89 |
| Sylow | C89 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444021, #36444033, C2×#26018098, … |
| maximal normal subgroup of | #36444021, #36444033, C2×#26018098, … |
| maximal quotient of | C2×C4×#15667919, C42×C22⋊Dic89, C2×#26018475, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6840);