Finite Group Databasebeta

C2×#13130767 #16798198

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13130767

Splittings

FittingC2×C13×#97 ⋊ C4
SylowC13 ⋊ C2×#1841

Subgroups

subgroupG/H
centerC2×C4#88237
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC2×C13×#97C4
socleC22×C13#383
prime radicalC23×D13#41
cosocleC2×C4×D13C24
hypercenterC2×#97#261
hypocenterC13C2×#1841
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#97

730 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

184 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1104847);