Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic283 |
| Sylow | C283 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119107, #49119108, #49119113, … |
| maximal normal subgroup of | #49119107, #49119108, #49119113, … |
| maximal quotient of | C4×C283⋊#95, #49119484, #49119488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 397);