Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×Q8×D356 |
| Fitting | C2×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups; only the 621 normal subgroups are shown.
This group has 1568 conjugacy classes of subgroups — too many to draw. Only its 621 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446154, #36446157, #36446170, … |
| maximal normal subgroup of | #36446154, #36446157, #36446170, … |
| maximal quotient of | C2×Q8×#13083551, C2×C4⋊C4×D356, C2×Q8×C4⋊Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17985);