Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152169 |
| Sylow | C89 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446938, #36446940, #36460959, … |
| maximal normal subgroup of | #36446938, #36446940, #36460959, … |
| maximal quotient of | C2×#26022836, C2×#26022844, C2×#26022872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17824);