Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151671 |
| Fitting | C2×#97×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471331, #36552746, #36552755, … |
| maximal normal subgroup of | #36471331, #36552746, #36552755, … |
| maximal quotient of | C2×#26019083, C2×#26019097, C2×#26019090, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13191);