Finite Group Databasebeta

C2×Dic3098 #37613486

order24784
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3098
unambiguous semidirect product(C2×C1549)⋊Q8

Splittings

SylowC1549 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1549
commutator, cosocleC2×C1549C23
FrattiniC2C22×D1549
FittingC2×C4×C1549C2
socle, prime radicalC22×C1549C22
hypercenterC2×C4D1549
hypocenterC1549C2×Q8
LCSG ▷ C2×C1549 ▷ C1549
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 24784

Conjugacy classes & character table

6202 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24784, 38);