Finite Group Databasebeta

D47×#1913 #26218285

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD47×#1913

Splittings

FittingC47×#1913 ⋊ C2
SylowC47 ⋊ C2×#1913

Subgroups

subgroupG/H
centerC2#386×D47
commutatorC23×C47C23×C4
FrattiniC24C23×D47
FittingC47×#1913C2
socleC2×C47C2×#386
prime radical#534×D47C2
cosocleC24×C47C24
hypercenter#1913D47
hypocenterC47C2×#1913
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2 ◁ C24 ◁ #1913

2078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

725 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 171575);