Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19151368 |
| Sylow | C89 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic89, C4×#19151368, #36459639, … |
| maximal normal subgroup of | #344×Dic89, C4×#19151368, #36459639, … |
| maximal quotient of | C2×#26018096, #36444058, #36444061, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4251);