Finite Group Databasebeta

C2×#13127937 #16769386

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13127937

Splittings

FittingC2×C13×#504 ⋊ C2
SylowC13 ⋊ C2×#3407

Subgroups

subgroupG/H
centerC2×C8C23×D13
commutatorC2×C13C24×C8
FrattiniC8C24×D13
FittingC2×C13×#504C2
socleC22×C13C23×C8
prime radicalC2×#41×D13C4
cosocleC8×C13C25
hypercenterC2×#504D13
hypocenterC13C2×#3407
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C2×#504

2074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076035);