Finite Group Databasebeta

#101×C22⋊D47 #26231645

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#101×C22⋊D47

Splittings

FittingC22×#101×C47 ⋊ C2
SylowC47 ⋊ D4×#101

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#101×C47C2
socleC22×C47C22×C22⋊C4
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenterC22×#101D47
hypocenterC47D4×#101
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

1378 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1067 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 184935);