Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152151 |
| Sylow | C89 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463353, #36463358, #36463359, … |
| maximal normal subgroup of | #36463353, #36463358, #36463359, … |
| maximal quotient of | C2×#26022655, C2×#26022724, C2×#26022734, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17797);