Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152079 |
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459864, #36459908, #36459944, … |
| maximal normal subgroup of | #36459864, #36459908, #36459944, … |
| maximal quotient of | C2×#26022606, C2×#26022609, C2×#26022610, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17705);