Finite Group Databasebeta

C2×Dic3754 #44473398

order30032
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3754
unambiguous semidirect product(C2×C1877)⋊Q8

Splittings

SylowC1877 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1877
commutator, cosocleC2×C1877C23
FrattiniC2C22×D1877
FittingC2×C4×C1877C2
socle, prime radicalC22×C1877C22
hypercenterC2×C4D1877
hypocenterC1877C2×Q8
LCSG ▷ C2×C1877 ▷ C1877
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30032

Conjugacy classes & character table

7514 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30032, 38);