Finite Group Databasebeta

C2×Dic2866 #37524034

order22928
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic2866
unambiguous semidirect product(C2×C1433)⋊Q8

Splittings

SylowC1433 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1433
commutator, cosocleC2×C1433C23
FrattiniC2C22×D1433
FittingC2×C4×C1433C2
socle, prime radicalC22×C1433C22
hypercenterC2×C4D1433
hypocenterC1433C2×Q8
LCSG ▷ C2×C1433 ▷ C1433
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 22928

Conjugacy classes & character table

5738 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22928, 38);