Finite Group Databasebeta

C8×#13093934 #26105628

order12032
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42

Aliases

direct productC8×#13093934

Splittings

SylowC47 ⋊ C8×#97

Subgroups

subgroupG/H
centerC2×C4×C8C2×D47
commutatorC2×C47C42×C8
FrattiniC2×C42C22×D47
FittingC2×C82×C47C2
socle, prime radicalC23×C47C2×C42
cosocleC2×C42×C47C23
hypercenterC2×C82D47
hypocenterC47C8×#97
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4×C8 ◁ C2×C82

606 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, 58918);