Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152351 |
| Sylow | C89 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470256, #36470257, C2×#26022263, … |
| maximal normal subgroup of | #36470256, #36470257, C2×#26022263, … |
| maximal quotient of | C2×#26023395, C2×#26023400, C2×#26023419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18643);