Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×#13083549 |
| Sylow | C89 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36466191, SD16×#13083549, #36466205, … |
| maximal normal subgroup of | #36466191, SD16×#13083549, #36466205, … |
| maximal quotient of | C4⋊C4×#13083549, #36472045, #36472429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6414);