Finite Group Databasebeta

C4×#16813529 #28388794

order14464
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#16813529

Splittings

SylowC113 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D113
commutatorC2×C113C43
FrattiniC24C22×D113
FittingC22×C42×C113C2
socle, prime radical, cosocleC24×C113C23
hypercenterC22×C42D113
hypocenterC113C4×#95
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C23×C4 ◁ C22×C42

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3664 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 2730);