Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D293⋊C16 |
| unambiguous semidirect product | D293⋊(C2×C16) |
| derived, Sylow | C293 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | (C2×#11924078)⋊C16, #49173841, #49173842, … |
| maximal normal subgroup of | (C2×#11924078)⋊C16, #49173841, #49173842, … |
| maximal quotient of | C4×D293⋊C16, C2×#34037015, D293⋊(C22⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1603);