Finite Group Databasebeta

C2×#14521602 #16858998

order3968
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#14521602

Splittings

SylowC31 ⋊ C2×#533

Subgroups

subgroupG/H
centerC22×C4C22×D31
commutator, cosocleC22×C31C25
FrattiniC22C24×D31
FittingC2×C31×#117C2
socleC23×C31C24
prime radicalC24×C31C23
hypercenterC2×#117D31
hypocenterC31C2×#533
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C22×C4 ◁ C2×#117

1168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 17797);