Finite Group Databasebeta

C2×#11926675 #14572563

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#11926675

Splittings

SylowC19 ⋊ C2×#446

Subgroups

subgroupG/H
centerC22×C4C22×D19
commutatorC22×C19C23×C4
FrattiniC2×C4C23×D19
FittingC2×C4×Q8×C19C2
socle, prime radicalC23×C19C22×C4
cosocleC2×C4×C19C24
hypercenterC2×C4×Q8D19
hypocenterC19C2×#446
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22×C4 ◁ C2×C4×Q8

400 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#18073127, #18073129, #18073367, …
maximal normal subgroup of#18073127, #18073129, #18073367, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13438);