Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151414 |
| Sylow | C89 ⋊ C2×#362 |
216 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151414, #362×Dic89, #36469705, … |
| maximal normal subgroup of | C4×#19151414, #362×Dic89, #36469705, … |
| maximal quotient of | C2×#26018222, #36464207, #36464438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6254);