Finite Group Databasebeta

#2038×D71 #32025041

order18176
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct product#2038×D71

Splittings

FittingC71×#2038 ⋊ C2
SylowC71 ⋊ C2×#2038

Subgroups

subgroupG/H
centerC22#120×D71
commutator, cosocleC22×C4×C71C24
FrattiniC22×C4C23×D71
FittingC71×#2038C2
socleC22×C71C2×#120
prime radicalC2×#41×D71C22
hypercenter#2038D71
hypocenterC71C2×#2038
LCSG ▷ C22×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2038

1434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2272

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 197157);