Finite Group Databasebeta

← Prev (#26131584) Next (#26131586) →

C4⋊C16×Dic47 #26131585

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4

Aliases

direct productC4⋊C16×Dic47

Splittings

SylowC47 ⋊ C4×C4⋊C16

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D47
commutatorC2×C47C2×C4×C16
FittingC2×C47×C4⋊C16C2
socle, prime radicalC23×C47C22×C8
cosocleC22×C8×C47C23
hypercenterC2×C4⋊C16D47
hypocenterC47C4×C4⋊C16
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C8 ◁ C2×C4⋊C16

438 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, 84875);