Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22627712 |
| Sylow | C293 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
770 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49174544, #49174562, #49174566, … |
| maximal normal subgroup of | #49174544, #49174562, #49174566, … |
| maximal quotient of | C2×#34037094, C4×#22627712, C2×#34037104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1626);