Finite Group Databasebeta

C2×Dic3046 #37567097

order24368
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3046
unambiguous semidirect product(C2×C1523)⋊Q8

Splittings

SylowC1523 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1523
commutator, cosocleC2×C1523C23
FrattiniC2C22×D1523
FittingC2×C4×C1523C2
socle, prime radicalC22×C1523C22
hypercenterC2×C4D1523
hypocenterC1523C2×Q8
LCSG ▷ C2×C1523 ▷ C1523
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 24368

Conjugacy classes & character table

6098 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24368, 38);