Finite Group Databasebeta

C2×Dic4742 #49181982

order37936
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic4742
unambiguous semidirect product(C2×C2371)⋊Q8

Splittings

SylowC2371 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D2371
commutator, cosocleC2×C2371C23
FrattiniC2C22×D2371
FittingC2×C4×C2371C2
socle, prime radicalC22×C2371C22
hypercenterC2×C4D2371
hypocenterC2371C2×Q8
LCSG ▷ C2×C2371 ▷ C2371
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 37936

Conjugacy classes & character table

9490 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37936, 38);