Finite Group Databasebeta

C2×#14520977 #16848938

order3968
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#14520977

Splittings

SylowC31 ⋊ C2×#397

Subgroups

subgroupG/H
centerC24C22×D31
commutator, cosocleC23×C31C24
FrattiniC23C23×D31
FittingC22×C22⋊C4×C31C2
socleC24×C31C23
prime radicalC25×C31C22
hypercenterC22×C22⋊C4D31
hypocenterC31C2×#397
LCSG ▷ C23×C31 ▷ C31
UCSC1 ◁ C24 ◁ C22×C22⋊C4

820 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

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, 7737);