Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152272 |
| Fitting | C2×#117×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#551 |
1328 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36520616, #36520619, #36520624, … |
| maximal normal subgroup of | #36520616, #36520619, #36520624, … |
| maximal quotient of | C2×#26023095, C2×#26023102, C2×#26023112, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18005);