Finite Group Databasebeta

C2×#13112978 #15783126

order3328
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productC2×#13112978

Splittings

SylowC13 ⋊ C2×#1401

Subgroups

subgroupG/H
centerC2×C16C22⋊D13
commutatorC4×C13C22×C16
FrattiniC2×C16C22×D13
FittingC2×C13×#504C2
socleC22×C13C22⋊C16
prime radicalC2×C13×#41C8
cosocleC2×C13×C16C23
hypercenterC2×#504D13
hypocenterC13C2×#1401
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C16 ◁ C22×C16 ◁ C2×#504

294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 89775);