Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22583610 |
| Sylow | C283 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#31826210, C2×#31826212, C2×#31826213, … |
| maximal normal subgroup of | C2×#31826210, C2×#31826212, C2×#31826213, … |
| maximal quotient of | C2×#31826335, C2×#31826363, C2×#31826371, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1093);