Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22627678 |
| Fitting | C2×C8×C293 ⋊ C4 |
| Sylow | C293 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
1208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173825, #49173831, #97×#11924078, … |
| maximal normal subgroup of | #49173825, #49173831, #97×#11924078, … |
| maximal quotient of | C2×#34036970, #49173979, C2×#14556880⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1506);