Finite Group DatabasebetaFinite Group Databasebeta| order | 976 |
| isoclinism | isoclinic class of D61 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C22×Dic61 |
| derived, Sylow | C61 ⋊ C22×C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C23 | D61 |
| commutator, hypocenter | C61 | C22×C4 |
| Frattini | C2 | C22×D61 |
| Fitting, socle, prime radical | C23×C61 | C2 |
| cosocle | C2×C61 | C23 |
| LCS | G ▷ C61 | |
| UCS | C1 ◁ C23 | |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14519684, C2×C4×Dic61, C2×#11758198, … |
| maximal normal subgroup of | #14519684, C2×C4×Dic61, C2×#11758198, … |
| maximal quotient of | C2×C4×Dic61, C2×C22⋊Dic61, C2×C4⋊Dic61, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(976, 43);