Finite Group Databasebeta

C2×#20298476 #28392991

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#20298476

Splittings

FittingC2×#95×C113 ⋊ C2
SylowC113 ⋊ C2×#386

Subgroups

subgroupG/H
centerC24C22×D113
commutatorC22×C113C23×C4
FrattiniC23C23×D113
FittingC2×#95×C113C2
socleC24×C113C23
prime radicalC23×D452C2
cosocleC23×C113C24
hypercenterC2×#95D113
hypocenterC113C2×#386
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C24 ◁ C2×#95

1576 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, 6927);