Finite Group Databasebeta

D8×#6118 #16796316

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

Aliases

direct productD8×#6118

Splittings

SylowC13 ⋊ M16×D8

Subgroups

subgroupG/H
centerC22C2×D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC4×C13×D8C4
socleC22×C13C2×C4×D4
prime radicalC2×D8×D13C4
cosocleC4×Dic13C24
hypercenterC4×D8#261
hypocenterC13M16×D8
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ C4×D8

794 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

154 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1102965);