Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152186 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#538 |
1336 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446256, #36446260, #36520448, … |
| maximal normal subgroup of | #36446256, #36446260, #36520448, … |
| maximal quotient of | C2×#26022850, C2×#26022886, C2×#26022910, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17851);