Finite Group Databasebeta

D47×#1401 #26136483

order12032
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productD47×#1401

Splittings

FittingC47×#1401 ⋊ C2
SylowC47 ⋊ C2×#1401

Subgroups

subgroupG/H
centerC16D4×D47
commutatorC4×C47C22×C16
FrattiniC2×C16C22×D47
FittingC47×#1401C2
socleC2×C47C2×C22⋊C16
prime radical#41×D47C8
cosocleC2×C16×C47C23
hypercenter#1401D47
hypocenterC47C2×#1401
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C16 ◁ C2×C16 ◁ #1401

294 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 89773);