Finite Group Databasebeta

C2×#13182038 #16812783

order3488
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13182038

Splittings

SylowC109 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#89137
commutatorC2×C109C22×C4
FrattiniC2C22×#89137
Fitting, prime radicalC23×C109C4
socleC22×C109C2×C4
cosocleDic109C23
hypercenterC23#89137
hypocenterC109C2×M16
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C22 ◁ C23

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1744

Conjugacy classes & character table

236 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3488, 230);