Finite Group Databasebeta

C2×C42×Dic86 #25254793

order11008
isoclinismisoclinic class of Dic86
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×C42×Dic86

Splittings

SylowC43 ⋊ C2×C42×Q8

Subgroups

subgroupG/H
centerC22×C42C2×D43
commutatorC2×C43C23×C42
FrattiniC23C24×D43
FittingC2×C43×C43C2
socle, prime radicalC24×C43C24
cosocleC23×C43C25
hypercenterC2×C43D43
hypocenterC43C2×C42×Q8
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C42 ◁ C2×C43

3966 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327764);