Finite Group Databasebeta

D47×#2381 #26378909

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD47×#2381

Splittings

FittingC47×#2381 ⋊ C2
SylowC47 ⋊ C2×#2381

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2381C2
socle, cosocleC23×C47C25
prime radicalC23×D47C24
hypercenter#2381D47
hypocenterC47C2×#2381
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2381

2326 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 332199);