Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#19151477 |
| Fitting | C24×C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36449797, #36449799, #36449817, … |
| maximal normal subgroup of | #36449797, #36449799, #36449817, … |
| maximal quotient of | C2×#26018475, C2×#26018485, C2×#26018490, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6928);