Finite Group Databasebeta

C2×#17989386 #22624677

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

Aliases

direct productC2×#17989386

Splittings

FittingC2×#137×C73 ⋊ C2
SylowC73 ⋊ C2×#575

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC2×#137×C73C2
socleC22×C73C22×D4
hypercenterC2×#137D73
hypocenterC73C2×#575
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#137

1484 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#33087486, #33087495, #33087853, …
maximal normal subgroup of#33087486, #33087495, #33087853, …
maximal quotient ofC2×#22618447, C2×#22618449, C2×#22618518, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19256);