Finite Group Databasebeta

C2×#108×D19 #14572236

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

Aliases

direct productC2×#108×D19

Splittings

FittingC2×C19×#108 ⋊ C2
SylowC19 ⋊ C22×#108

Subgroups

subgroupG/H
centerC2×C4D4×D19
commutatorC4×C19C23×C4
FrattiniC2×C4C23×D19
FittingC2×C19×#108C2
socleC22×C19C2×C4⋊C4
prime radicalC23×D19Q8
cosocleC2×C4×C19C24
hypercenterC2×#108D19
hypocenterC19C22×#108
LCSG ▷ C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#108

480 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.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13111);