Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D4×Dic178 |
| Sylow | C89 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446109, #36446112, #36446155, … |
| maximal normal subgroup of | #36446109, #36446112, #36446155, … |
| maximal quotient of | C2×C22⋊C4×Dic178, C2×D4×#13083553, C2×D4×C4⋊Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17984);