Finite Group Databasebeta

C2×C42×Dic94 #26374474

order12032
isoclinismisoclinic class of Dic94
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×C42×Dic94

Splittings

SylowC47 ⋊ C2×C42×Q8

Subgroups

subgroupG/H
centerC22×C42C2×D47
commutatorC2×C47C23×C42
FrattiniC23C24×D47
FittingC2×C43×C47C2
socle, prime radicalC24×C47C24
cosocleC23×C47C25
hypercenterC2×C43D47
hypocenterC47C2×C42×Q8
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C42 ◁ C2×C43

3966 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, 327764);