Finite Group Databasebeta

C2×Dic4058 #44570280

order32464
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic4058
unambiguous semidirect product(C2×C2029)⋊Q8

Splittings

SylowC2029 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D2029
commutator, cosocleC2×C2029C23
FrattiniC2C22×D2029
FittingC2×C4×C2029C2
socle, prime radicalC22×C2029C22
hypercenterC2×C4D2029
hypocenterC2029C2×Q8
LCSG ▷ C2×C2029 ▷ C2029
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 32464

Conjugacy classes & character table

8122 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32464, 38);