Finite Group Databasebeta

C2×#13123299 #16726392

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13123299

Splittings

FittingC2×C13×#519 ⋊ C2
SylowC13 ⋊ C2×#2884

Subgroups

subgroupG/H
centerC22C22×#6103
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C13×#519C2
socleC22×C13C22×C22⋊C4
prime radicalC22×#88254C2
cosocleC23×C13C25
hypercenterC2×#519D13
hypocenterC13C2×#2884
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×Q8 ◁ C2×#519

4818 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033041);