Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152238 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#546 |
1900 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36520608, #36520614, #36520688, … |
| maximal normal subgroup of | #36520608, #36520614, #36520688, … |
| maximal quotient of | C2×C22⋊C4×C22⋊D89, C2×#26023079, C2×#26023095, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17955);