Finite Group Databasebeta

C22⋊C4×D139 #17984792

order4448
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC22⋊C4×D139

Splittings

FittingC22⋊C4×C139 ⋊ C2
SylowC139 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D139
commutatorC2×C139C22×C4
FittingC22⋊C4×C139C2
socle, cosocleC22×C139C23
prime radicalC23×D139C2
hypercenterC22⋊C4D139
hypocenterC139C2×C22⋊C4
LCSG ▷ C2×C139 ▷ C139
UCSC1 ◁ C22 ◁ C22⋊C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1112

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4448, 96);