Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×Q8×D89 |
| Fitting | C8×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C8×Q8 |
440 conjugacy classes of subgroups; only the 241 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 241 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 | Q8⋊C16×D89, #36464233, #36464369, … |
| maximal normal subgroup of | Q8⋊C16×D89, #36464233, #36464369, … |
| maximal quotient of | C8×C4⋊C4×D89, C8×#15667977, C8×Q8×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13429);