Finite Group Databasebeta

C2×Dic3254 #39907421

order26032
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3254
unambiguous semidirect product(C2×C1627)⋊Q8

Splittings

SylowC1627 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1627
commutator, cosocleC2×C1627C23
FrattiniC2C22×D1627
FittingC2×C4×C1627C2
socle, prime radicalC22×C1627C22
hypercenterC2×C4D1627
hypocenterC1627C2×Q8
LCSG ▷ C2×C1627 ▷ C1627
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 26032

Conjugacy classes & character table

6514 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26032, 38);