Finite Group Databasebeta

C2×#13129938 #16789236

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

Aliases

direct productC2×#13129938

Splittings

FittingC2×C13×#101 ⋊ C4
SylowC13 ⋊ C2×#1395

Subgroups

subgroupG/H
centerC22#11718238
commutatorC2×C4×C13C2×C42
FrattiniC2×Q8C22×#261
FittingC2×C13×#101C4
socleC22×C13#342
prime radicalC22×#6131C22
cosocleC2×#6131C23
hypercenterC2×#101#261
hypocenterC13C2×#1395
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23 ◁ C22×Q8 ◁ C2×#101

766 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1095885);