Finite Group Databasebeta

C2×Dic3158 #38760109

order25264
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3158
unambiguous semidirect product(C2×C1579)⋊Q8

Splittings

SylowC1579 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1579
commutator, cosocleC2×C1579C23
FrattiniC2C22×D1579
FittingC2×C4×C1579C2
socle, prime radicalC22×C1579C22
hypercenterC2×C4D1579
hypocenterC1579C2×Q8
LCSG ▷ C2×C1579 ▷ C1579
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25264

Conjugacy classes & character table

6322 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25264, 38);