Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19151552 |
| Fitting | C2×C4×C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444957, #36444961, #36447286, … |
| maximal normal subgroup of | #36444957, #36444961, #36447286, … |
| maximal quotient of | C2×C8×#13083557, C2×#26018534, C2×#26018540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12921);