Finite Group Databasebeta

C2×#336×D47 #26213627

order12032
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C28

Aliases

direct productC2×#336×D47

Splittings

FittingC2×C47×#336 ⋊ C2
SylowC47 ⋊ C22×#336

Subgroups

subgroupG/H
centerC23×C4C22×D47
commutatorC2×C47C22×C4×C8
FrattiniC22×C4C23×D47
FittingC2×C47×#336C2
socleC24×C47C22×C4
prime radicalC24×D47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×#336D47
hypocenterC47C22×#336
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C2×#336

3086 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 166917);