Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#102×D89 |
| Fitting | C2×#102×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D89, #1762×D89, #36552236, … |
| maximal normal subgroup of | C4×#102×D89, #1762×D89, #36552236, … |
| maximal quotient of | C2×D4⋊C8×D89, #1486×D89, C2×#26018675, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12994);