Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152303 |
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446115, #36520728, #36520734, … |
| maximal normal subgroup of | #36446115, #36520728, #36520734, … |
| maximal quotient of | C2×#26023125, C2×#26023129, C2×C4⋊C4×C22⋊D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18039);