Finite Group Databasebeta

#102×C22⋊D47 #26231680

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct product#102×C22⋊D47

Splittings

FittingC22×#102×C47 ⋊ C2
SylowC47 ⋊ D4×#102

Subgroups

subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#102×C47C2
socleC23×C47C22×D4
prime radicalC2×D4×C22⋊D47C2
cosocleC22×C4×C47C24
hypercenterC22×#102D47
hypocenterC47D4×#102
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#102

2014 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1358 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 184970);