Finite Group Databasebeta

C2×#14520982 #16848944

order3968
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14520982

Splittings

SylowC31 ⋊ C2×#398

Subgroups

subgroupG/H
centerC24C22×D31
commutator, cosocleC23×C31C24
FrattiniC23C23×D31
FittingC22×C4⋊C4×C31C2
socle, prime radicalC24×C31C23
hypercenterC22×C4⋊C4D31
hypocenterC31C2×#398
LCSG ▷ C23×C31 ▷ C31
UCSC1 ◁ C24 ◁ C22×C4⋊C4

692 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3968

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 7743);