Finite Group Databasebeta

C2×Dic3902 #44530179

order31216
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3902
unambiguous semidirect product(C2×C1951)⋊Q8

Splittings

SylowC1951 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1951
commutator, cosocleC2×C1951C23
FrattiniC2C22×D1951
FittingC2×C4×C1951C2
socle, prime radicalC22×C1951C22
hypercenterC2×C4D1951
hypocenterC1951C2×Q8
LCSG ▷ C2×C1951 ▷ C1951
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31216

Conjugacy classes & character table

7810 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31216, 38);