Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152331 |
| Fitting | C2×C4×D4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#559 |
1240 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446065, #36520755, #36520757, … |
| maximal normal subgroup of | #36446065, #36520755, #36520757, … |
| maximal quotient of | C2×#26023205, C2×#26023210, C2×#26023221, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18096);