Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q8×#13083558 |
| Sylow | C89 ⋊ Q8×M16 |
388 conjugacy classes of subgroups; only the 241 normal subgroups are shown.
This group has 388 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.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448761, #36448765, #36448775, … |
| maximal normal subgroup of | #36448761, #36448765, #36448775, … |
| maximal quotient of | C4⋊C4×#13083558, #36553080, Q8×#15667923, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13464);