Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151720 |
| Sylow | C89 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469722, #36469724, #36469729, … |
| maximal normal subgroup of | #36469722, #36469724, #36469729, … |
| maximal quotient of | C2×SD16⋊#10623494, C2×#26019071, C2×#26019076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13406);