Finite Group Databasebeta

C2×#14520919 #16848112

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

Aliases

direct productC2×#14520919

Splittings

SylowC31 ⋊ C2×#384

Subgroups

subgroupG/H
centerC24C22×D31
commutatorC22×C31C23×C4
FrattiniC23C23×D31
FittingC22×C42×C31C2
socle, prime radicalC24×C31C23
cosocleC23×C31C24
hypercenterC22×C42D31
hypocenterC31C2×#384
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C24 ◁ C22×C42

888 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3968

Conjugacy classes & character table

1016 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 6911);