Finite Group Databasebeta

C2×Dic2974 #37558266

order23792
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic2974
unambiguous semidirect product(C2×C1487)⋊Q8

Splittings

SylowC1487 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1487
commutator, cosocleC2×C1487C23
FrattiniC2C22×D1487
FittingC2×C4×C1487C2
socle, prime radicalC22×C1487C22
hypercenterC2×C4D1487
hypocenterC1487C2×Q8
LCSG ▷ C2×C1487 ▷ C1487
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 23792

Conjugacy classes & character table

5954 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23792, 38);