Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19151363 |
| Sylow | C89 ⋊ C2×#341 |
392 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 205 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441574, #36441576, #36441580, … |
| maximal normal subgroup of | #36441574, #36441576, #36441580, … |
| maximal quotient of | C2×#26018087, #36443887, #36443894, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4234);