Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic61 |
| Sylow | C61 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839524, #16839525, #16839530, … |
| maximal normal subgroup of | #16839524, #16839525, #16839530, … |
| maximal quotient of | C2×#14519684, C4×C4⋊Dic61, #16839622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 101);