Finite Group Databasebeta

C2×#20300975 #28411997

order14656
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#20300975

Splittings

SylowC229 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D229
commutator, cosocleC22×C229C24
FrattiniC22C23×D229
Fitting, prime radicalC22×D4×C229C2
socleC23×C229C23
hypercenterC22×D4D229
hypocenterC229C2×#124
LCSG ▷ C22×C229 ▷ C229
UCSC1 ◁ C23 ◁ C22×D4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7328

Conjugacy classes & character table

2308 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1065);