Finite Group Databasebeta

C2×#30686011 #46803543

order34208
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#30686011

Splittings

SylowC1069 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
centerC23C2×D1069
commutatorC2×C1069C22×C4
FrattiniC22C22×D1069
FittingC22×C4×C1069C2
socle, prime radicalC23×C1069C22
cosocleC22×C1069C23
hypercenterC22×C4D1069
hypocenterC1069C2×C4⋊C4
LCSG ▷ C2×C1069 ▷ C1069
UCSC1 ◁ C23 ◁ C22×C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 34208

Conjugacy classes & character table

8564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34208, 100);