Finite Group Databasebeta

C2×#13118158 #16030469

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13118158

Splittings

FittingC2×C13×#394 ⋊ C2
SylowC13 ⋊ C2×#2405

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#394C2
socleC24×C13C24
prime radicalC23×D4×D13C2
hypercenterC2×#394D13
hypocenterC13C2×#2405
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#394

7822 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 337118);