Finite Group Databasebeta

C2×#20299705 #28407803

order14464
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C23

Aliases

direct productC2×#20299705

Splittings

derived, SylowC113 ⋊ C22×C32

Subgroups

subgroupG/H
center, hypercenterC2×C8#11744762
commutator, hypocenterC113C22×C32
FrattiniC4C22×#11744762
FittingC2×C8×C113C8
socleC22×C113C2×C16
prime radicalC22×D113C16
cosocle#14268650C23
LCSG ▷ C113
UCSC1 ◁ C2×C8

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21739);