Finite Group Databasebeta

C2×#20244287 #26220253

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#20244287

Splittings

SylowC47 ⋊ C2×#1976

Subgroups

subgroupG/H
centerC2×C4#13093995
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC22×#135×C47C2
socleC22×C47#390
cosocleC22×C4×C47C24
hypercenterC22×#135D47
hypocenterC47C2×#1976
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#135

1474 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 173543);