Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22627580 |
| Sylow | C293 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157096, #49157116, #49158516, … |
| maximal normal subgroup of | #49157096, #49157116, #49158516, … |
| maximal quotient of | C2×#34035974, C2×C22⋊C4×Dic293, C2×#34035980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1002);