Finite Group Databasebeta

D47×#1798 #26215633

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD47×#1798

Splittings

FittingC47×#1798 ⋊ C2
SylowC47 ⋊ C2×#1798

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1798C2
prime radicalC24×D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1798D47
hypocenterC47C2×#1798
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1798

1638 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, 168923);