Finite Group Databasebeta

← Prev (#26385259) Next (#26385261) →

C2×#20247942 #26385260

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productC2×#20247942

Splittings

FittingC2×C4×C22⋊C4×C47 ⋊ C2
SylowC47 ⋊ C2×#2510

Subgroups

subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C4×C22⋊C4×C47C2
socleC24×C47C24
prime radicalC23×C22⋊D47C22
hypercenterC2×C4×C22⋊C4D47
hypocenterC47C2×#2510
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

2658 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1916 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 338550);