Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C4×#13083557 |
| Fitting | C2×C4×C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups; only the 357 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 357 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 | #36443808, #36443815, #36443820, … |
| maximal normal subgroup of | #36443808, #36443815, #36443820, … |
| maximal quotient of | C2×C8×#13083557, C2×#26018538, C2×#26018546, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12916);