Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152348 |
| Sylow | C89 ⋊ C2×#563 |
1024 conjugacy classes of subgroups; only the 469 normal subgroups are shown.
This group has 1024 conjugacy classes of subgroups — too many to draw. Only its 469 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446873, #36446876, #36470255, … |
| maximal normal subgroup of | #36446873, #36446876, #36470255, … |
| maximal quotient of | C2×#26023402, C2×#26023412, C2×#26023426, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18640);