Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | #427×D89 |
| Fitting | #427×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1382×D89, #36469323, #1384×D89, … |
| maximal normal subgroup of | #1382×D89, #36469323, #1384×D89, … |
| maximal quotient of | #1564×D89, #1568×D89, #36523437, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13086);