Finite Group Databasebeta

C4×D4244 #46800594

order33952
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D4244

Splittings

FittingC42×C1061 ⋊ C2
SylowC1061 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D1061
commutatorC2×C1061C22×C4
FrattiniC22C22×D1061
FittingC42×C1061C2
socle, cosocleC22×C1061C23
prime radicalC2×D4244C2
hypercenterC42D1061
hypocenterC1061C4×D4
LCSG ▷ C2×C1061 ▷ C1061
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16976

Conjugacy classes & character table

8500 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 110);