Finite Group Databasebeta

C4×#10597397 #14572452

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×#10597397

Splittings

SylowC19 ⋊ C4×#137

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D19
commutatorC4×C19C23×C4
FrattiniC2×C4C23×D19
FittingC4×#41×C19C2
socleC22×C19C22×D4
prime radicalC2×#41×C19C22
cosocleC2×C4×C19C24
hypercenterC4×#41D19
hypocenterC19C4×#137
LCSG ▷ C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#41

484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18077154, #18077156, #18077168, …
maximal normal subgroup of#18077154, #18077156, #18077168, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13327);