Finite Group Databasebeta

C4×C8×Dic107 #28336142

order13696
isoclinismisoclinic class of D107
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×C8×Dic107

Splittings

derived, SylowC107 ⋊ C42×C8

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8D107
commutator, hypocenterC107C42×C8
FrattiniC22×C4C22×D107
FittingC2×C4×C8×C107C2
socle, prime radicalC23×C107C22×C4
cosocleC22×C4×C107C23
LCSG ▷ C107
UCSC1 ◁ C2×C4×C8

408 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13696

Conjugacy classes & character table

3520 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13696, 4191);