Finite Group Databasebeta

C2×#350×D47 #26368973

order12032
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×#350×D47

Splittings

FittingC2×C47×#350 ⋊ C2
SylowC47 ⋊ C22×#350

Subgroups

subgroupG/H
centerC2×C8D4×D47
commutatorC4×C47C23×C8
FrattiniC2×C8C23×D47
FittingC2×C47×#350C2
socleC22×C47C2×C22⋊C8
prime radicalC2×#41×D47C4
cosocleC2×C8×C47C24
hypercenterC2×#350D47
hypocenterC47C22×#350
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×#350

1174 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322263);