Finite Group Databasebeta

C4×C8×Dic109 #28362713

order13952
isoclinismisoclinic class of D109
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×C8×Dic109

Splittings

derived, SylowC109 ⋊ C42×C8

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8D109
commutator, hypocenterC109C42×C8
FrattiniC22×C4C22×D109
FittingC2×C4×C8×C109C2
socle, prime radicalC23×C109C22×C4
cosocleC22×C4×C109C23
LCSG ▷ C109
UCSC1 ◁ C2×C4×C8

408 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13952

Conjugacy classes & character table

3584 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 4191);