Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D89 |
| Fitting | C4×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1282×D89, #36444098, #1284×D89, … |
| maximal normal subgroup of | #1282×D89, #36444098, #1284×D89, … |
| maximal quotient of | C4×#95×D89, C4×#19151445, C4×C22⋊C4×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6838);