Finite Group Databasebeta

C4×D13⋊(C4⋊C8) #16797083

order3328
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4×D13⋊(C4⋊C8)

Splittings

SylowC13 ⋊ C2×C4×C4⋊C8

Subgroups

subgroupG/H
centerC2×C42C2×#261
commutatorC2×C13C22×C4×C8
FrattiniC23C23×#261
FittingC43×C13C4
socleC23×C13C23×C4
prime radicalC23×D13C22×C4
cosocleC22×Dic13C24
hypercenterC43#261
hypocenterC13C2×C4×C4⋊C8
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C42 ◁ C43

1550 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103732);