Finite Group Databasebeta

D19×#423 #14572187

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD19×#423

Splittings

FittingC19×#423 ⋊ C2
SylowC19 ⋊ C2×#423

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D19
commutator, socleC22×C19C23×C4
FittingC19×#423C2
prime radicalC23×D19C2×C4
cosocleC2×C4×C19C24
hypercenter#423D19
hypocenterC19C2×#423
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ #423

576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

Relationships

maximal subgroup ofD19×#1286, #18072321, #18072333, …
maximal normal subgroup ofD19×#1286, #18072321, #18072333, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13062);