Finite Group Databasebeta

#465×D73 #22619487

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

Aliases

direct product#465×D73

Splittings

Fitting#465×C73 ⋊ C2
SylowC73 ⋊ C2×#465

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC2×C4×C73C24
FrattiniC2×C4C23×D73
Fitting#465×C73C2
socleC22×C73C22×D4
hypercenter#465D73
hypocenterC73C2×#465
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ #465

564 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#465×D73, #3050×D73, #3055×D73, …
maximal normal subgroup ofC2×#465×D73, #3050×D73, #3055×D73, …
maximal quotient of#1665×D73, #1671×D73, #1677×D73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 14066);