Finite Group Databasebeta

C2×Dic3958 #44539694

order31664
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3958
unambiguous semidirect product(C2×C1979)⋊Q8

Splittings

SylowC1979 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1979
commutator, cosocleC2×C1979C23
FrattiniC2C22×D1979
FittingC2×C4×C1979C2
socle, prime radicalC22×C1979C22
hypercenterC2×C4D1979
hypocenterC1979C2×Q8
LCSG ▷ C2×C1979 ▷ C1979
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31664

Conjugacy classes & character table

7922 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31664, 38);