Finite Group Databasebeta

C4×#11926265 #18071887

order4864
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×#11926265

Splittings

SylowC19 ⋊ C4×#322

Subgroups

subgroupG/H
centerC43C2×D19
commutatorC2×C19C42×C8
FrattiniC2×C42C22×D19
FittingC42×C8×C19C2
socle, prime radicalC23×C19C2×C42
cosocleC2×C42×C19C23
hypercenterC42×C8D19
hypocenterC19C4×#322
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C43 ◁ C42×C8

654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4864

Conjugacy classes & character table

1312 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4864, 58916);