Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic293 |
| Sylow | C293 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49160629, D16×Dic293, SD32×Dic293, … |
| maximal normal subgroup of | #49160629, D16×Dic293, SD32×Dic293, … |
| maximal quotient of | D8×#14556873, #49157615, #49157670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 632);