Finite Group Databasebeta

C2×#13182013 #16812704

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

Aliases

direct productC2×#13182013

Splittings

SylowC109 ⋊ C2×M16

Subgroups

subgroupG/H
centerC2×C4C2×D109
commutatorC2×C109C22×C4
FrattiniC4C22×D109
FittingC22×C4×C109C2
socleC22×C109C2×C4
prime radicalC23×C109C4
cosocleC4×C109C23
hypercenterC22×C4D109
hypocenterC109C2×M16
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C2×C4 ◁ C22×C4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1744

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3488, 151);