Finite Group Databasebeta

C2×Dic4388 #47975500

order35104
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic4388

Splittings

SylowC1097 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22D4388
commutator, cosocleC4×C1097C23
FrattiniC4C22×D1097
FittingC2×C8×C1097C2
socle, prime radicalC22×C1097D4
hypercenterC2×C8D1097
hypocenterC1097C2×Q16
LCSG ▷ C4×C1097 ▷ C2×C1097 ▷ C1097
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 35104

Conjugacy classes & character table

8782 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35104, 164);