Finite Group Databasebeta

C2×#99×D19 #14572086

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#99×D19

Splittings

FittingC2×C19×#99 ⋊ C2
SylowC19 ⋊ C22×#99

Subgroups

subgroupG/H
centerC22C22⋊C4×D19
commutatorC22×C19C23×C4
FrattiniC23C23×D19
FittingC2×C19×#99C2
socleC22×C19C2×C22⋊C4
prime radicalC22×D4×D19C2
cosocleC23×C19C24
hypercenterC2×#99D19
hypocenterC19C22×#99
LCSG ▷ C22×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

1112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 304

Conjugacy classes & character table

242 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 12961);