Finite Group Databasebeta

C2×#13130897 #16798748

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13130897
unambiguous semidirect productD13⋊#1918

Splittings

FittingC2×C13×#107 ⋊ C4
SylowC13 ⋊ C2×#1918

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC2×C13×#107C4
socleC23×C13C4×D4
prime radicalC23×D13C2×D4
cosocleC2×C4×D13C24
hypercenterC2×#107#261
hypocenterC13C2×#1918
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#107

1086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1105397);