Finite Group Databasebeta

C2×#14521730 #16859213

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

Aliases

direct productC2×#14521730

Splittings

SylowC31 ⋊ C2×#551

Subgroups

subgroupG/H
centerC23C23×D31
commutator, cosocleC22×C31C25
FrattiniC22C24×D31
Fitting, prime radicalC2×C31×#120C2
socleC23×C31C24
hypercenterC2×#120D31
hypocenterC31C2×#551
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C23 ◁ C2×#120

1328 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 18012);