Finite Group Databasebeta

D19×#407 #14572068

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD19×#407

Splittings

FittingC19×#407 ⋊ C2
SylowC19 ⋊ C2×#407

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D19
commutator, socleC22×C19C23×C4
FittingC19×#407C2
prime radicalC24×D19C4
cosocleC2×C4×C19C24
hypercenter#407D19
hypocenterC19C2×#407
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ #407

1008 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 304

Conjugacy classes & character table

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

Relationships

maximal subgroup ofD19×#1284, #18072261, #18072265, …
maximal normal subgroup ofD19×#1284, #18072261, #18072265, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 12943);