Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151373 |
| Sylow | C89 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442116, #36442120, #346×Dic89, … |
| maximal normal subgroup of | #36442116, #36442120, #346×Dic89, … |
| maximal quotient of | C2×#26018168, C2×#26018171, #36463447, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6099);