Finite Group Databasebeta

C2×#20298484 #28393000

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

Aliases

direct productC2×#20298484

Splittings

SylowC113 ⋊ C2×#387

Subgroups

subgroupG/H
centerC24C22×D113
commutatorC22×C113C23×C4
FrattiniC23C23×D113
FittingC22×C4⋊C4×C113C2
socle, prime radicalC24×C113C23
cosocleC23×C113C24
hypercenterC22×C4⋊C4D113
hypocenterC113C2×#387
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C24 ◁ C22×C4⋊C4

712 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, 6936);