Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22627542 |
| Sylow | C293 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49158580, C4×#22627542, #49158707, … |
| maximal normal subgroup of | #49158580, C4×#22627542, #49158707, … |
| maximal quotient of | C2×#34035854, #49157108, #49157114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 528);