Finite Group Databasebeta

D19×#1274 #18071933

order4864
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C42

Aliases

direct productD19×#1274

Splittings

FittingC19×#1274 ⋊ C2
SylowC19 ⋊ C2×#1274

Subgroups

subgroupG/H
centerC2×C4C42×D19
commutatorC4×C19C2×C4×C8
FrattiniC2×C42C22×D19
FittingC19×#1274C2
socleC22×C19C2×#95
prime radicalC23×D19C22⋊C4
cosocleC2×C42×C19C23
hypercenter#1274D19
hypocenterC19C2×#1274
LCSG ▷ C4×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ #1274

758 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4864, 58962);