Finite Group Databasebeta

C2×C13×Dic14 #13089892

order1456
isoclinismisoclinic class of Dic14
automorphism?
homologyAbelianization (H1) = C23×C13 · Schur multiplier (H2) = C22

Aliases

direct productC2×C13×Dic14
unambiguous semidirect product(C2×C7)⋊(Q8×C13)

Splittings

HallC7×C13 ⋊ C2×Q8
SylowC7 ⋊ C2×Q8×C13

Subgroups

subgroupG/H
centerC22×C13C2×D7
commutator, cosocleC2×C7C23×C13
FrattiniC2C22×C13×D7
FittingC2×C4×C7×C13C2
socle, prime radicalC22×C7×C13C22
hypercenterC2×C4×C13D7
hypocenterC7C2×Q8×C13
LCSG ▷ C2×C7 ▷ C7
UCSC1 ◁ C22×C13 ◁ C2×C4×C13

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1456

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1456, 146);