Finite Group Databasebeta

C2×#14521864 #16860476

order3968
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#14521864

Splittings

FittingC2×C31×2−1+4 ⋊ C2
SylowC31 ⋊ C2×#578

Subgroups

subgroupG/H
centerC22C22×C22⋊D31
commutator, cosocleC4×C31C25
FrattiniC4C24×D31
FittingC2×C31×2−1+4C2
socleC22×C31C22×D4
hypercenterC2×2−1+4D31
hypocenterC31C2×#578
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×2−1+4

1408 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 19275);