Finite Group Databasebeta

C16×Dic214 #28338364

order13696
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC16×Dic214

Splittings

SylowC107 ⋊ Q8×C16

Subgroups

subgroupG/H
centerC2×C16C2×D107
commutatorC2×C107C22×C16
FrattiniC2×C8C22×D107
FittingC4×C16×C107C2
socle, prime radicalC22×C107C22×C8
cosocleC2×C8×C107C23
hypercenterC4×C16D107
hypocenterC107Q8×C16
LCSG ▷ C2×C107 ▷ C107
UCSC1 ◁ C2×C16 ◁ C4×C16

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13696

Conjugacy classes & character table

3472 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13696, 6413);