Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×Dic283⋊C4 |
| Sylow | C283 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121122, C8×Dic283⋊C4, #49121127, … |
| maximal normal subgroup of | #49121122, C8×Dic283⋊C4, #49121127, … |
| maximal quotient of | C4×C283⋊#95, #49119487, Dic283⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 402);