Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic566 |
| Sylow | C283 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119239, #49119241, C8×#17985380, … |
| maximal normal subgroup of | #49119239, #49119241, C8×#17985380, … |
| maximal quotient of | C8×C4⋊Dic283, C8×Dic283⋊C4, #49121817, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 674);