Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152205 |
| Sylow | C89 ⋊ C2×#541 |
1004 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36520489, #36520605, C4×#19152205, … |
| maximal normal subgroup of | #36520489, #36520605, C4×#19152205, … |
| maximal quotient of | C2×#26022856, C2×#26022901, C2×#26022902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17873);