Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152206 |
| Fitting | C2×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#541 |
1004 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445864, #36520488, #36520490, … |
| maximal normal subgroup of | #36445864, #36520488, #36520490, … |
| maximal quotient of | C2×#26022857, C2×#26022898, C2×#26022903, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17874);