Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C16×Dic178 |
| Sylow | C89 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441904, #36441906, C16×#13083562, … |
| maximal normal subgroup of | #36441904, #36441906, C16×#13083562, … |
| maximal quotient of | C16×C4⋊Dic89, C16×#13083553, #36472042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6413);