Finite Group Databasebeta

C2×#20298466 #28392964

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#20298466

Splittings

SylowC113 ⋊ C2×#383

Subgroups

subgroupG/H
centerC24C22×D113
commutatorC22×C113C23×C4
FrattiniC23C23×D113
FittingC22×C42×C113C2
socle, prime radicalC24×C113C23
cosocleC23×C113C24
hypercenterC22×C42D113
hypocenterC113C2×#383
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C24 ◁ C22×C42

624 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3640 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 6900);