Finite Group Databasebeta

#452×D73 #22619136

order9344
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct product#452×D73

Splittings

Fitting#452×C73 ⋊ C2
SylowC73 ⋊ C2×#452

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC2×C4×C73C24
FrattiniC2×C4C23×D73
Fitting#452×C73C2
socleC22×C73C22×D4
hypercenter#452D73
hypocenterC73C2×#452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ #452

760 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#452×D73, #3002×D73, #3005×D73, …
maximal normal subgroup ofC2×#452×D73, #3002×D73, #3005×D73, …
maximal quotient of#1603×D73, #1615×D73, #1606×D73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13715);