Finite Group Databasebeta

C2×#20299151 #28403861

order14464
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#20299151

Splittings

SylowC113 ⋊ C2×#533

Subgroups

subgroupG/H
centerC22×C4C22×D113
commutator, cosocleC22×C113C25
FrattiniC22C24×D113
FittingC2×#117×C113C2
socleC23×C113C24
prime radicalC24×C113C23
hypercenterC2×#117D113
hypocenterC113C2×#533
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22×C4 ◁ C2×#117

1168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2296 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 17797);