Finite Group Databasebeta

C2×#28380750 #43244367

order28096
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#28380750

Splittings

SylowC439 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D439
commutatorC2×C439C23×C4
FrattiniC4C23×D439
Fitting, prime radicalC2×#41×C439C2
socleC22×C439C22×C4
cosocleC4×C439C24
hypercenterC2×#41D439
hypocenterC439C2×#131
LCSG ▷ C2×C439 ▷ C439
UCSC1 ◁ C2×C4 ◁ C2×#41

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14048

Conjugacy classes & character table

4420 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 1312);