Finite Group Databasebeta

C2×C4×C47⋊#95 #26137347

order12032
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×C4×C47⋊#95

Splittings

SylowC47 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC24×C4C2×D47
commutatorC2×C47C2×C43
FrattiniC24C23×D47
FittingC23×C42×C47C2
socle, prime radicalC25×C47C23
cosocleC24×C47C24
hypercenterC23×C42D47
hypocenterC47C2×C4×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C24×C4 ◁ C23×C42

4462 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90637);