Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151433 |
| Fitting | C2×D16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
1006 conjugacy classes — view the full character table.
| maximal subgroup of | #36474999, C4×#19151433, #36475028, … |
| maximal normal subgroup of | #36474999, C4×#19151433, #36475028, … |
| maximal quotient of | C2×#26018429, C2×#26018430, C2×#26018451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6807);