Finite Group Databasebeta

C2×#17989475 #22626131

order9344
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×#17989475

Splittings

SylowC73 ⋊ C2×#346

Subgroups

subgroupG/H
centerC22×C4C2×#64408
commutatorC2×C73C2×C4×C8
FrattiniC2×C4C22×#64408
FittingC2×C42×C73C4
socleC23×C73C2×C8
hypercenterC2×C42#64408
hypocenterC73C2×#346
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×C42

200 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

656 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#34000150, #34000156, #34000235, …
maximal normal subgroup of#34000150, #34000156, #34000235, …
maximal quotient ofC2×#22624843, C2×#22624846, #34009702, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 20710);