Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4⋊C4×#10623494 |
| Sylow | C89 ⋊ C8×C4⋊C4 |
296 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445191, #102×#10623494, #36445198, … |
| maximal normal subgroup of | #36445191, #102×#10623494, #36445198, … |
| maximal quotient of | C4⋊C8×#10623494, #36445559, #36445575, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4374);