Finite Group Databasebeta

C2×#14521164 #16854599

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14521164

Splittings

FittingC2×C31×#131 ⋊ C2
SylowC31 ⋊ C2×#443

Subgroups

subgroupG/H
centerC2×C8C22⋊D31
commutatorC4×C31C23×C4
FrattiniC2×C4C23×D31
FittingC2×C31×#131C2
socleC22×C31C4×D4
prime radicalC2×#11758527C2
cosocleC2×C4×C31C24
hypercenterC2×#131D31
hypocenterC31C2×#443
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×#131

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 13398);