Finite Group Databasebeta

C2×#11927357 #14578398

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#11927357

Splittings

FittingC22×Q16×C19 ⋊ C2
SylowC19 ⋊ C2×#578

Subgroups

subgroupG/H
centerC22C2×D4×D19
commutator, cosocleC4×C19C25
FrattiniC4C24×D19
FittingC22×Q16×C19C2
socleC22×C19C22×D4
hypercenterC22×Q16D19
hypocenterC19C2×#578
LCSG ▷ C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q16

1408 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 19273);