Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152349 |
| Fitting | C2×C22⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19152349, #36717140, #36720288, … |
| maximal normal subgroup of | C4×#19152349, #36717140, #36720288, … |
| maximal quotient of | C2×#26023396, C2×#26023401, C2×#26023413, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18641);