Finite Group Databasebeta

C4×#16813601 #28393109

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×#16813601

Splittings

SylowC113 ⋊ C4×C22⋊Q8

Subgroups

subgroupG/H
centerC22×C4C22×D113
commutatorC22×C113C23×C4
FrattiniC23C23×D113
FittingC22×C42×C113C2
socle, cosocleC23×C113C24
prime radicalC24×C113C23
hypercenterC22×C42D113
hypocenterC113C4×C22⋊Q8
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22×C4 ◁ C22×C42

656 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

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, 7045);