Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152132 |
| Fitting | C22×C42×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445815, #36445818, #36445876, … |
| maximal normal subgroup of | #36445815, #36445818, #36445876, … |
| maximal quotient of | C2×#26022650, C2×#26022695, C2×#26022716, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17776);