Finite Group Databasebeta

C2×#137×D73 #22624667

order9344
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#137×D73

Splittings

FittingC2×#137×C73 ⋊ C2
SylowC73 ⋊ C22×#137

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC2×#137×C73C2
socleC22×C73C22×D4
hypercenterC2×#137D73
hypocenterC73C22×#137
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#137

1464 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#1882×D73, #33087504, #1902×D73, …
maximal normal subgroup of#1882×D73, #33087504, #1902×D73, …
maximal quotient ofC2×#419×D73, C2×#417×D73, C2×#428×D73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19246);