Finite Group Databasebeta

C2×#20298527 #28393802

order14464
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#20298527

Splittings

FittingC2×#95×C113 ⋊ C2
SylowC113 ⋊ C2×#397

Subgroups

subgroupG/H
centerC24C22×D113
commutator, cosocleC23×C113C24
FrattiniC23C23×D113
FittingC2×#95×C113C2
socleC24×C113C23
prime radicalC24×D113C22
hypercenterC2×#95D113
hypocenterC113C2×#397
LCSG ▷ C23×C113 ▷ C113
UCSC1 ◁ C24 ◁ C2×#95

820 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2284 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 7738);