Finite Group Databasebeta

C2×#11926672 #14572560

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#11926672

Splittings

SylowC19 ⋊ C2×#446

Subgroups

subgroupG/H
centerC22×C4C22×D19
commutatorC22×C19C23×C4
FrattiniC2×C4C23×D19
FittingC2×C19×#97C2
socle, prime radicalC23×C19C22×C4
cosocleC2×C4×C19C24
hypercenterC2×#97D19
hypocenterC19C2×#446
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22×C4 ◁ C2×#97

400 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2432

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13435);