Finite Group Databasebeta

C2×#20245780 #26374559

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#20245780

Splittings

FittingC2×C47×#376 ⋊ C2
SylowC47 ⋊ C2×#2283

Subgroups

subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#376C2
socleC24×C47C24
prime radicalC24×D47C23
cosocleC23×C47C25
hypercenterC2×#376D47
hypocenterC47C2×#2283
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C2×#376

3246 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1952 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 327849);