Finite Group Databasebeta

C2×#20244690 #26244156

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#20244690

Splittings

FittingC2×C47×#343 ⋊ C2
SylowC47 ⋊ C2×#2052

Subgroups

subgroupG/H
centerC23#13093997
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC2×C47×#343C2
socleC23×C47#121
prime radicalC22×#10625350C22
hypercenterC2×#343D47
hypocenterC47C2×#2052
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#343

1362 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1064 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 197446);