Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22627692 |
| unambiguous semidirect product | D293⋊#106 |
| Fitting | C2×C8×C293 ⋊ C4 |
| Sylow | C293 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
1196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173850, #49173851, #49173856, … |
| maximal normal subgroup of | #49173850, #49173851, #49173856, … |
| maximal quotient of | C2×#34036990, D293⋊#334, C2×#34036991, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1557);