Finite Group Databasebeta

#367×D73 #22611709

order9344
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#367×D73

Splittings

Fitting#367×C73 ⋊ C2
SylowC73 ⋊ C2×#367

Subgroups

subgroupG/H
centerC22D8×D73
commutatorC8×C73C22×C4
FrattiniC2×C8C22×D73
Fitting#367×C73C2
socleC22×C73C2×D8
hypercenter#367D73
hypocenterC73C2×#367
LCSG ▷ C8×C73 ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ #367

168 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#1418×D73, #1426×D73, C2×#367×D73, …
maximal normal subgroup of#1418×D73, #1426×D73, C2×#367×D73, …
maximal quotient of#1372×D73, #32997627, #32997667, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 6288);