Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #41×Dic178 |
| Sylow | C89 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446470, #36446474, #36521303, … |
| maximal normal subgroup of | #36446470, #36446474, #36521303, … |
| maximal quotient of | #41×#13083553, #41×C4⋊Dic89, #117×Dic178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18090);