Finite Group Databasebeta

C4×#16813652 #28399391

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

Aliases

direct productC4×#16813652

Splittings

SylowC113 ⋊ C4×#137

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D113
commutatorC4×C113C23×C4
FrattiniC2×C4C23×D113
FittingC4×#41×C113C2
socleC22×C113C22×D4
prime radicalC2×#41×C113C22
cosocleC2×C4×C113C24
hypercenterC4×#41D113
hypocenterC113C4×#137
LCSG ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#41

484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2284 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13327);