Finite Group Databasebeta

C2×#14521580 #16858974

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

Aliases

direct productC2×#14521580

Splittings

SylowC31 ⋊ C2×#529

Subgroups

subgroupG/H
centerC23C23×D31
commutator, cosocleC22×C31C25
FrattiniC22C24×D31
Fitting, prime radicalC2×C31×#121C2
socleC23×C31C24
hypercenterC2×#121D31
hypocenterC31C2×#529
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C23 ◁ C2×#121

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 17773);