Finite Group Databasebeta

C8×C19⋊#95 #18087695

order4864
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct productC8×C19⋊#95

Splittings

SylowC19 ⋊ C8×#95

Subgroups

subgroupG/H
centerC23×C8C2×D19
commutatorC2×C19C42×C8
FrattiniC23×C4C22×D19
FittingC22×C4×C8×C19C2
socle, prime radicalC24×C19C22×C4
cosocleC23×C4×C19C23
hypercenterC22×C4×C8D19
hypocenterC19C8×#95
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C23×C8 ◁ C22×C4×C8

1174 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, 74724);