Finite Group Databasebeta

#413×D73 #22618402

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#413×D73

Splittings

Fitting#413×C73 ⋊ C2
SylowC73 ⋊ C2×#413

Subgroups

subgroupG/H
centerC4C22⋊C4×D73
commutatorC22×C73C23×C4
FrattiniC2×C4C23×D73
Fitting#413×C73C2
socleC2×C73C22×C22⋊C4
hypercenter#413D73
hypocenterC73C2×#413
LCSG ▷ C22×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C4 ◁ C22×C4 ◁ #413

756 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#1392×D73, #33000946, #1395×D73, …
maximal normal subgroup of#1392×D73, #33000946, #1395×D73, …
maximal quotient of#1458×D73, #1459×D73, #33051792, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 12981);