Finite Group Databasebeta

C4×#16813533 #28390259

order14464
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C2×C42

Aliases

direct productC4×#16813533

Splittings

SylowC113 ⋊ C4×#97

Subgroups

subgroupG/H
centerC2×C42C2×D113
commutatorC2×C113C43
FrattiniC22×C4C22×D113
FittingC43×C113C2
socle, prime radicalC23×C113C22×C4
cosocleC22×C4×C113C23
hypercenterC43D113
hypocenterC113C4×#97
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C42 ◁ C43

360 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, 4195);