Finite Group Databasebeta

#467×D73 #22619501

order9344
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#467×D73

Splittings

Fitting#467×C73 ⋊ C2
SylowC73 ⋊ C2×#467

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC2×C4×C73C24
FrattiniC2×C4C23×D73
Fitting#467×C73C2
socleC22×C73C22×D4
hypercenter#467D73
hypocenterC73C2×#467
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ #467

512 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#1348×D73, #32996223, #1350×D73, …
maximal normal subgroup of#1348×D73, #32996223, #1350×D73, …
maximal quotient of#1669×D73, #1675×D73, #1683×D73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 14080);