Finite Group Databasebeta

#2058×D71 #32025475

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

Aliases

direct product#2058×D71

Splittings

FittingC71×#2058 ⋊ C2
SylowC71 ⋊ C2×#2058

Subgroups

subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC22×C4×C71C24
FrattiniC22×C4C23×D71
FittingC71×#2058C2
socleC23×C71C22×D4
prime radicalC23×D71C2×D4
hypercenter#2058D71
hypocenterC71C2×#2058
LCSG ▷ C22×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2058

1454 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9088

Conjugacy classes & character table

1184 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 197591);