Finite Group Databasebeta

C2×#13129932 #16789215

order3328
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13129932

Splittings

FittingC2×C13×#101 ⋊ C4
SylowC13 ⋊ C2×#1394

Subgroups

subgroupG/H
centerC22#11718238
commutatorC2×C4×C13C2×C42
FrattiniC2×Q8C22×#261
FittingC2×C13×#101C4
socleC22×C13#342
prime radicalC23×D13C22⋊C4
cosocleC2×Q8×D13C23
hypercenterC2×#101#261
hypocenterC13C2×#1394
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23 ◁ C22×Q8 ◁ C2×#101

818 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

118 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1095864);