Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×#19151319 |
| Sylow | C89 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441257, #36441261, #36441292, … |
| maximal normal subgroup of | #36441257, #36441261, #36441292, … |
| maximal quotient of | C4×#19151319, C2×#26018079, #36444851, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2785);