Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151668 |
| Fitting | C2×C4⋊C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463659, #36552748, #36552753, … |
| maximal normal subgroup of | #36463659, #36552748, #36552753, … |
| maximal quotient of | C2×#26019080, C2×#26019094, C2×#26019087, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13188);