Finite Group Databasebeta

C4×#10597260 #14563320

order2432
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C2×C42

Aliases

direct productC4×#10597260

Splittings

SylowC19 ⋊ C4×#97

Subgroups

subgroupG/H
centerC2×C42C2×D19
commutatorC2×C19C43
FrattiniC22×C4C22×D19
FittingC43×C19C2
socle, prime radicalC23×C19C22×C4
cosocleC22×C4×C19C23
hypercenterC43D19
hypocenterC19C4×#97
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C2×C42 ◁ C43

360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2432

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18069074, #18069103, #18069105, …
maximal normal subgroup of#18069074, #18069103, #18069105, …
maximal quotient ofC4×#11926266, C8×#10597260, #18071899, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 4195);