Finite Group Databasebeta

C2×Dic3242 #39906322

order25936
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3242
unambiguous semidirect product(C2×C1621)⋊Q8

Splittings

SylowC1621 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1621
commutator, cosocleC2×C1621C23
FrattiniC2C22×D1621
FittingC2×C4×C1621C2
socle, prime radicalC22×C1621C22
hypercenterC2×C4D1621
hypocenterC1621C2×Q8
LCSG ▷ C2×C1621 ▷ C1621
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25936

Conjugacy classes & character table

6490 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25936, 38);