Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
| direct product | #390×D89 |
| Fitting | #390×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#390 |
1360 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1270×D89, #36442411, #36442503, … |
| maximal normal subgroup of | #1270×D89, #36442411, #36442503, … |
| maximal quotient of | C4⋊#95×D89, #1437×D89, #36475611, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6963);