Finite Group DatabasebetaFinite Group Databasebeta| order | 944 |
| isoclinism | isoclinic class of Dic118 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic118 |
| unambiguous semidirect product | (C2×C59)⋊Q8 |
| Sylow | C59 ⋊ C2×Q8 |
| subgroup | G/H | |
|---|---|---|
| center | C22 | C2×D59 |
| commutator, cosocle | C2×C59 | C23 |
| Frattini | C2 | C22×D59 |
| Fitting | C2×C4×C59 | C2 |
| socle, prime radical | C22×C59 | C22 |
| hypercenter | C2×C4 | D59 |
| hypocenter | C59 | C2×Q8 |
| LCS | G ▷ C2×C59 ▷ C59 | |
| UCS | C1 ◁ C22 ◁ C2×C4 | |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 944 |
242 conjugacy classes — view the full character table.
| maximal subgroup of | #14273645, #14273650, #14273652, … |
| maximal normal subgroup of | #14273645, #14273650, #14273652, … |
| maximal quotient of | C2×Dic59⋊C4, C2×C4⋊Dic59, C4×Dic118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(944, 27);