Finite Group Databasebeta

C2×#20245197 #26369397

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#20245197

Splittings

SylowC47 ⋊ C2×#2165

Subgroups

subgroupG/H
centerC2×C4#13093980
commutatorC2×C4×C47C23×C4
FrattiniC2×C8C23×D47
FittingC2×C47×#349C2
socleC22×C47#432
prime radicalC24×C47M16
cosocleC2×C8×C47C24
hypercenterC2×#349D47
hypocenterC47C2×#2165
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#349

570 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1076 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322687);