Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×C22⋊D89 |
| Fitting | C23×C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15667926, #36444975, #36447319, … |
| maximal normal subgroup of | C8×#15667926, #36444975, #36447319, … |
| maximal quotient of | C2×C8×#13083559, C2×C8×#13083562, C2×C8×#13083561, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13181);