Finite Group Databasebeta

D47×#2110 #26368933

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productD47×#2110

Splittings

FittingC47×#2110 ⋊ C2
SylowC47 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC8C42×D47
commutatorC4×C47C22×C42
FrattiniC2×C8C23×D47
FittingC47×#2110C2
socleC2×C47C22×#97
prime radicalC23×D47M16
cosocleC2×C8×C47C24
hypercenter#2110D47
hypocenterC47C2×#2110
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C8 ◁ #2110

738 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, 322223);