Finite Group Databasebeta

C2×Dic542 #16864652

order4336
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic542
unambiguous semidirect product(C2×C271)⋊Q8

Splittings

SylowC271 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D271
commutator, cosocleC2×C271C23
FrattiniC2C22×D271
FittingC2×C4×C271C2
socle, prime radicalC22×C271C22
hypercenterC2×C4D271
hypocenterC271C2×Q8
LCSG ▷ C2×C271 ▷ C271
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4336

Conjugacy classes & character table

1090 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4336, 38);