Finite Group Databasebeta

C2×Dic3866 #44525781

order30928
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3866
unambiguous semidirect product(C2×C1933)⋊Q8

Splittings

SylowC1933 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1933
commutator, cosocleC2×C1933C23
FrattiniC2C22×D1933
FittingC2×C4×C1933C2
socle, prime radicalC22×C1933C22
hypercenterC2×C4D1933
hypocenterC1933C2×Q8
LCSG ▷ C2×C1933 ▷ C1933
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30928

Conjugacy classes & character table

7738 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30928, 38);