Finite Group Databasebeta

C2×C439⋊#95 #43243448

order28096
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×C439⋊#95
unambiguous semidirect product(C2×C439)⋊#95

Splittings

SylowC439 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D439
commutatorC2×C439C2×C42
FrattiniC23C22×D439
FittingC23×C4×C439C2
socle, prime radicalC24×C439C22
cosocleC23×C439C23
hypercenterC23×C4D439
hypocenterC439C2×#95
LCSG ▷ C2×C439 ▷ C439
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 28096

Conjugacy classes & character table

7048 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 393);