Finite Group Databasebeta

D47×#2311 #26374839

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productD47×#2311

Splittings

FittingC47×#2311 ⋊ C2
SylowC47 ⋊ C2×#2311

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2311C2
socle, cosocleC23×C47C25
prime radicalC22×#41×D47C2
hypercenter#2311D47
hypocenterC47C2×#2311
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2311

5822 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, 328129);