Finite Group Databasebeta

C2×#23755251 #34090367

order19808
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#23755251

Splittings

SylowC619 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC22C22⋊D619
commutator, cosocleC4×C619C23
FrattiniC4C22×D619
Fitting, prime radicalC2×D4×C619C2
socleC22×C619D4
hypercenterC2×D4D619
hypocenterC619C2×SD16
LCSG ▷ C4×C619 ▷ C2×C619 ▷ C619
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9904

Conjugacy classes & character table

3104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19808, 160);