Finite Group Databasebeta

C2×#30684125 #46800714

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

Aliases

direct productC2×#30684125

Splittings

SylowC1061 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#16862558
commutatorC2×C1061C22×C4
FrattiniC2C22×#16862558
Fitting, prime radicalC23×C1061C4
socleC22×C1061C2×C4
cosocleDic1061C23
hypercenterC23#16862558
hypocenterC1061C2×M16
LCSG ▷ C2×C1061 ▷ C1061
UCSC1 ◁ C22 ◁ C23

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16976

Conjugacy classes & character table

2140 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 230);