Finite Group Databasebeta

C22×#10597315 #14576911

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC22×#10597315

Splittings

SylowC19 ⋊ C22×C4⋊Q8

Subgroups

subgroupG/H
centerC24C22×D19
commutator, cosocleC22×C19C25
FrattiniC22C24×D19
FittingC22×C42×C19C2
socle, prime radicalC24×C19C23
hypercenterC22×C42D19
hypocenterC19C22×C4⋊Q8
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C24 ◁ C22×C42

1624 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2432

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18074025, #18074027, #18074034, …
maximal normal subgroup of#18074025, #18074027, #18074034, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 17786);