Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22583609 |
| Sylow | C283 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49122207, #49122211, #49122220, … |
| maximal normal subgroup of | #49122207, #49122211, #49122220, … |
| maximal quotient of | C2×#31826334, C2×#31826361, C2×#31826362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1092);