Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152080 |
| Fitting | C2×C4×Q8×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 | #36445853, #36520252, #36520259, … |
| maximal normal subgroup of | #36445853, #36520252, #36520259, … |
| maximal quotient of | C2×#26022606, C2×#26022612, C2×#26022617, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17706);