Finite Group Databasebeta

C4×#95×D47 #26137345

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

Aliases

direct productC4×#95×D47

Splittings

FittingC4×#95×C47 ⋊ C2
SylowC47 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC23×C4C22×D47
commutatorC2×C47C2×C43
FrattiniC24C23×D47
FittingC4×#95×C47C2
socle, cosocleC24×C47C24
prime radicalC24×D47C23
hypercenterC4×#95D47
hypocenterC47C2×C4×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C4×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90635);