Finite Group Databasebeta

C2×#14520820 #16845453

order3968
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#14520820

Splittings

SylowC31 ⋊ C2×#344

Subgroups

subgroupG/H
centerC2×C4C22⋊Dic31
commutatorC22×C31C2×C42
FrattiniC22×C4C22×D31
FittingC22×M16×C31C2
socleC22×C31#95
prime radicalC24×C31C2×C4
cosocleC22×C4×C31C23
hypercenterC22×M16D31
hypocenterC31C2×#344
LCSG ▷ C22×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×M16

388 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 4252);