Finite Group Databasebeta

C2×D1061⋊C8 #46800713

order33952
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×D1061⋊C8
unambiguous semidirect productD1061⋊(C2×C8)

Splittings

derived, SylowC1061 ⋊ C22×C8

Subgroups

subgroupG/H
center, hypercenterC2×C4#16862558
commutator, hypocenterC1061C22×C8
FrattiniC2C22×#16862558
FittingC2×C4×C1061C4
socleC22×C1061C2×C4
prime radicalC22×D1061C4
cosocleDic1061C23
LCSG ▷ C1061
UCSC1 ◁ C2×C4

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16976

Conjugacy classes & character table

2152 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 229);