Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊#10623494 |
| Sylow | C89 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups; only the 469 normal subgroups are shown.
This group has 1072 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.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#26018094, C2×#26018095, #36444021, … |
| maximal normal subgroup of | C2×#26018094, C2×#26018095, #36444021, … |
| maximal quotient of | C22×#19151322, C22×#19151324, C2×#26018566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12942);