Finite Group Databasebeta

C2×#20242574 #26191958

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20242574

Splittings

SylowC47 ⋊ C2×#1640

Subgroups

subgroupG/H
centerC23#13093993
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#559C2
socleC23×C47#120
prime radicalC2×#127×C47C22
hypercenterC2×#559D47
hypocenterC47C2×#1640
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#559

1042 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1202 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 145248);