Finite Group Databasebeta

C2×#17989537 #22626384

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#17989537
unambiguous semidirect productD73⋊#388

Splittings

FittingC2×C22⋊C4×C73 ⋊ C4
SylowC73 ⋊ C2×#388

Subgroups

subgroupG/H
centerC23C22×#64408
commutatorC22×C73C23×C4
FrattiniC22C23×#64408
FittingC2×C22⋊C4×C73C4
socleC23×C73C22×C4
hypercenterC2×C22⋊C4#64408
hypocenterC73C2×#388
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C22⋊C4

928 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

416 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#34003443, C4×#17989537, #388×#64408, …
maximal normal subgroup of#34003443, C4×#17989537, #388×#64408, …
maximal quotient ofC2×#22625106, C2×#22625111, C2×#22625112, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 20963);