Finite Group Databasebeta

#410×D73 #22618385

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct product#410×D73

Splittings

Fitting#410×C73 ⋊ C2
SylowC73 ⋊ C2×#410

Subgroups

subgroupG/H
centerC4C22⋊C4×D73
commutatorC22×C73C23×C4
FrattiniC23C23×D73
Fitting#410×C73C2
socleC2×C73C22×C22⋊C4
hypercenter#410D73
hypocenterC73C2×#410
LCSG ▷ C22×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C4 ◁ C22×C4 ◁ #410

788 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#1391×D73, #33000940, #1395×D73, …
maximal normal subgroup of#1391×D73, #33000940, #1395×D73, …
maximal quotient of#1458×D73, #1460×D73, #1461×D73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 12964);