Finite Group Databasebeta

C2×#13130106 #16792954

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

Aliases

direct productC2×#13130106

Splittings

SylowC13 ⋊ C2×#1469

Subgroups

subgroupG/H
centerC23C2×C22⋊#261
commutatorC23×C13C23×C4
FrattiniC23C23×#261
Fitting, prime radicalC23×D4×C13C4
socleC23×C13C2×C22⋊C4
cosocleC22×Dic13C24
hypercenterC23×D4#261
hypocenterC13C2×#1469
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C23×D4

1346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1099603);