Finite Group Databasebeta

#534×Dic47 #26375295

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#534×Dic47

Splittings

SylowC47 ⋊ C4×#534

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
Fitting, prime radicalC2×C47×#534C2
socle, cosocleC23×C47C25
hypercenterC2×#534D47
hypocenterC47C4×#534
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#534

3770 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, 328585);