Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D61 |
| Fitting | C2×Q8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D61, #103×D61, #16839769, … |
| maximal normal subgroup of | #101×D61, #103×D61, #16839769, … |
| maximal quotient of | C2×C4⋊C4×D61, C4×Q8×D61, C2×#14519742, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 185);