Finite Group Databasebeta

C2×#11926448 #14566102

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

Aliases

direct productC2×#11926448

Splittings

SylowC19 ⋊ C2×#391

Subgroups

subgroupG/H
centerC24C22×D19
commutatorC22×C19C23×C4
FrattiniC23C23×D19
FittingC2×C19×#95C2
socle, prime radicalC24×C19C23
cosocleC23×C19C24
hypercenterC2×#95D19
hypocenterC19C2×#391
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C24 ◁ C2×#95

928 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2432

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18082576, #18082594
maximal normal subgroup of#18082576, #18082594

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 6977);