Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic293 |
| Sylow | C293 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×Dic293, #49158597, #49158803, … |
| maximal normal subgroup of | #104×Dic293, #49158597, #49158803, … |
| maximal quotient of | #117×Dic293, C4×D4×Dic293, C4×Q8×Dic293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1020);