Finite Group Databasebeta

#41×C47⋊C16 #26369797

order12032
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct product#41×C47⋊C16

Splittings

SylowC47 ⋊ C16×#41

Subgroups

subgroupG/H
centerC4×C8C22×D47
commutatorC2×C47C23×C16
FrattiniC2×C8C23×D47
FittingC8×#41×C47C2
socleC22×C47C23×C8
prime radicalC2×#41×C47C8
cosocleC2×C8×C47C24
hypercenterC8×#41D47
hypocenterC47C16×#41
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C4×C8 ◁ C8×#41

602 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 323087);