Finite Group Databasebeta

C2×Dic3326 #40998378

order26608
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3326
unambiguous semidirect product(C2×C1663)⋊Q8

Splittings

SylowC1663 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1663
commutator, cosocleC2×C1663C23
FrattiniC2C22×D1663
FittingC2×C4×C1663C2
socle, prime radicalC22×C1663C22
hypercenterC2×C4D1663
hypocenterC1663C2×Q8
LCSG ▷ C2×C1663 ▷ C1663
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 26608

Conjugacy classes & character table

6658 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26608, 38);