Finite Group Databasebeta

#518×Dic47 #26374514

order12032
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct product#518×Dic47

Splittings

SylowC47 ⋊ C4×#518

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC2×C47C23×C42
FittingC2×C47×#518C2
socle, cosocleC23×C47C25
prime radicalC23×D4×C47C22
hypercenterC2×#518D47
hypocenterC47C4×#518
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#518

4186 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 327804);