Finite Group Databasebeta

C2×#347×D47 #26368930

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#347×D47

Splittings

FittingC2×C47×#347 ⋊ C2
SylowC47 ⋊ C22×#347

Subgroups

subgroupG/H
centerC2×C4C42×D47
commutatorC4×C47C22×C42
FrattiniC2×C8C23×D47
FittingC2×C47×#347C2
socleC22×C47C2×#97
prime radicalC23×D47M16
cosocleC2×C8×C47C24
hypercenterC2×#347D47
hypocenterC47C22×#347
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×#347

782 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322220);