Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152133 |
| Fitting | C2×#125×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445901, #36520388, #36520425, … |
| maximal normal subgroup of | #36445901, #36520388, #36520425, … |
| maximal quotient of | C2×#26022645, C2×#26022690, C2×#26022710, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17777);