Finite Group Databasebeta

C2×Dic2026 #30633812

order16208
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic2026
unambiguous semidirect product(C2×C1013)⋊Q8

Splittings

SylowC1013 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D1013
commutator, cosocleC2×C1013C23
FrattiniC2C22×D1013
FittingC2×C4×C1013C2
socle, prime radicalC22×C1013C22
hypercenterC2×C4D1013
hypocenterC1013C2×Q8
LCSG ▷ C2×C1013 ▷ C1013
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16208

Conjugacy classes & character table

4058 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#44569570, #44569575, #44569577, …
maximal normal subgroup of#44569570, #44569575, #44569577, …
maximal quotient ofC2×#30633793, C2×C4⋊Dic1013, C4×Dic2026, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16208, 38);