Finite Group Databasebeta

C2×#22587835 #31980059

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

Aliases

direct productC2×#22587835

Splittings

SylowC71 ⋊ C2×#1690

Subgroups

subgroupG/H
centerC23#14556103
commutator, cosocleC42×C71C24
FrattiniC42C23×D71
FittingC2×#334×C71C2
socle, prime radicalC23×C71#121
hypercenterC2×#334D71
hypocenterC71C2×#1690
LCSG ▷ C42×C71 ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#334

682 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 18176

Conjugacy classes & character table

2006 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 152175);