Finite Group Databasebeta

C2×#13130516 #16796776

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productC2×#13130516

Splittings

FittingC2×C13×#117 ⋊ C4
SylowC13 ⋊ C2×#1733

Subgroups

subgroupG/H
centerC23C2×C22⋊#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#117C4
socleC23×C13C2×C22⋊C4
prime radicalC24×D13D4
cosocleC2×C4×D13C24
hypercenterC2×#117#261
hypocenterC13C2×#1733
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#117

2270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103425);