Finite Group Databasebeta

C4×D13×#117 #16021100

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C27×C42

Aliases

direct productC4×D13×#117

Splittings

FittingC4×C13×#117 ⋊ C2
SylowC13 ⋊ C2×C4×#117

Subgroups

subgroupG/H
centerC2×C42C22×D13
commutatorC2×C13C23×C42
FrattiniC23C24×D13
FittingC4×C13×#117C2
socle, cosocleC23×C13C25
prime radicalC24×D13C23
hypercenterC4×#117D13
hypocenterC13C2×C4×#117
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C42 ◁ C4×#117

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

640 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327749);