Finite Group Databasebeta

C2×#11926391 #14565964

order2432
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4

Aliases

direct productC2×#11926391

Splittings

FittingC2×C19×#95 ⋊ C2
SylowC19 ⋊ C2×C4×C22⋊C4

Subgroups

subgroupG/H
centerC24C22×D19
commutatorC2×C19C22×C42
FrattiniC23C23×D19
FittingC2×C19×#95C2
socleC24×C19C23
prime radicalC24×D19C22
cosocleC23×C19C24
hypercenterC2×#95D19
hypocenterC19C2×C4×C22⋊C4
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C24 ◁ C2×#95

1360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18072131, #18072143, #18072525, …
maximal normal subgroup of#18072131, #18072143, #18072525, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 6839);