Finite Group Databasebeta

C2×#20299677 #28407567

order14464
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#20299677

Splittings

SylowC113 ⋊ C2×#568

Subgroups

subgroupG/H
centerC22C23×#90673
commutatorC2×C113C24×C4
FrattiniC2C24×#90673
FittingC2×#41×C113C4
socleC22×C113C23×C4
prime radicalC2×#41×D113C2
cosocleDic113C25
hypercenterC2×#41#90673
hypocenterC113C2×#568
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C22 ◁ C2×#41

1460 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21503);