Finite Group Databasebeta

C22⋊C4×D919 #44440729

order29408
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC22⋊C4×D919

Splittings

FittingC22⋊C4×C919 ⋊ C2
SylowC919 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D919
commutatorC2×C919C22×C4
FittingC22⋊C4×C919C2
socle, cosocleC22×C919C23
prime radicalC23×D919C2
hypercenterC22⋊C4D919
hypocenterC919C2×C22⋊C4
LCSG ▷ C2×C919 ▷ C919
UCSC1 ◁ C22 ◁ C22⋊C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7352

Conjugacy classes & character table

4610 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29408, 96);