Finite Group Databasebeta

C2×#14521466 #16858810

order3968
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14521466

Splittings

SylowC31 ⋊ C2×#504

Subgroups

subgroupG/H
centerC2×C8C22×D31
commutatorC2×C31C23×C8
FrattiniC8C23×D31
FittingC2×C31×#131C2
socleC22×C31C22×C8
prime radicalC2×#41×C31C4
cosocleC8×C31C24
hypercenterC2×#131D31
hypocenterC31C2×#504
LCSG ▷ C2×C31 ▷ C31
UCSC1 ◁ C2×C8 ◁ C2×#131

368 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 17609);