Finite Group Databasebeta

C2×#13108083 #15692339

order3232
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13108083

Splittings

SylowC101 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#87938
commutatorC2×C101C22×C4
FrattiniC2C22×#87938
Fitting, prime radicalC23×C101C4
socleC22×C101C2×C4
cosocleDic101C23
hypercenterC23#87938
hypocenterC101C2×M16
LCSG ▷ C2×C101 ▷ C101
UCSC1 ◁ C22 ◁ C23

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1616

Conjugacy classes & character table

220 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3232, 230);