Finite Group Databasebeta

D47×#2170 #26369502

order12032
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productD47×#2170

Splittings

FittingC47×#2170 ⋊ C2
SylowC47 ⋊ C2×#2170

Subgroups

subgroupG/H
centerC16D4×D47
commutatorC4×C47C23×C8
FrattiniC2×C8C23×D47
FittingC47×#2170C2
socleC2×C47C2×C8×D4
prime radical#135×D47C4
cosocleC2×C8×C47C24
hypercenter#2170D47
hypocenterC47C2×#2170
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C16 ◁ C2×C16 ◁ #2170

662 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, 322792);