Finite Group Databasebeta

C2×#20298726 #28399499

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#20298726

Splittings

SylowC113 ⋊ C2×#446

Subgroups

subgroupG/H
centerC22×C4C22×D113
commutatorC22×C113C23×C4
FrattiniC2×C4C23×D113
FittingC2×#97×C113C2
socle, prime radicalC23×C113C22×C4
cosocleC2×C4×C113C24
hypercenterC2×#97D113
hypocenterC113C2×#446
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22×C4 ◁ C2×#97

400 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

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, 13435);