Finite Group Databasebeta

C2×Dic3994 #44544134

order31952
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3994
unambiguous semidirect product(C2×C1997)⋊Q8

Splittings

SylowC1997 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1997
commutator, cosocleC2×C1997C23
FrattiniC2C22×D1997
FittingC2×C4×C1997C2
socle, prime radicalC22×C1997C22
hypercenterC2×C4D1997
hypocenterC1997C2×Q8
LCSG ▷ C2×C1997 ▷ C1997
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31952

Conjugacy classes & character table

7994 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31952, 38);