| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11758202 |
| Sylow | C61 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
314 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839854, C4×#11758202, #16839866, … |
| maximal normal subgroup of | #16839854, C4×#11758202, #16839866, … |
| maximal quotient of | C2×#14519700, C2×#14519701, C2×#14519710, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 163);