Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#13083558 |
| Sylow | C89 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448754, #36448758, #36448768, … |
| maximal normal subgroup of | #36448754, #36448758, #36448768, … |
| maximal quotient of | D8×#13083558, #36525859, SD16×#13083558, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13247);