Finite Group Databasebeta

C16×Dic218 #28364935

order13952
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC16×Dic218

Splittings

SylowC109 ⋊ Q8×C16

Subgroups

subgroupG/H
centerC2×C16C2×D109
commutatorC2×C109C22×C16
FrattiniC2×C8C22×D109
FittingC4×C16×C109C2
socle, prime radicalC22×C109C22×C8
cosocleC2×C8×C109C23
hypercenterC4×C16D109
hypocenterC109Q8×C16
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C2×C16 ◁ C4×C16

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13952

Conjugacy classes & character table

3536 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 6413);