Finite Group Databasebeta

C2×#13131514 #16808178

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#13131514

Splittings

SylowC13 ⋊ C2×#2920

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C42×C13C4
socleC23×C13C23×C4
prime radicalC24×D13C2×C4
cosocleC2×Dic13C25
hypercenterC22×C42#261
hypocenterC13C2×#2920
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×C42

2806 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114827);