Finite Group Databasebeta

C2×#137×D31 #16860447

order3968
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#137×D31

Splittings

FittingC2×C31×#137 ⋊ C2
SylowC31 ⋊ C22×#137

Subgroups

subgroupG/H
centerC22C2×D4×D31
commutator, cosocleC4×C31C25
FrattiniC4C24×D31
FittingC2×C31×#137C2
socleC22×C31C22×D4
prime radicalC2×#41×D31C2
hypercenterC2×#137D31
hypocenterC31C22×#137
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#137

1464 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 19246);