Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C283⋊C8) |
| Sylow | C283 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119095, #49119096, #49119101, … |
| maximal normal subgroup of | #49119095, #49119096, #49119101, … |
| maximal quotient of | C2×#31826216, C2×#31826218, #49120009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 570);