Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D89 |
| Fitting | C4×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1331×D89, #36464175, #1333×D89, … |
| maximal normal subgroup of | #1331×D89, #36464175, #1333×D89, … |
| maximal quotient of | C8×D8×D89, #1581×D89, #1589×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13257);