Finite Group Databasebeta

C2×#17988571 #22618406

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#17988571

Splittings

SylowC73 ⋊ C2×#413

Subgroups

subgroupG/H
centerC2×C4C22⋊Dic73
commutatorC22×C73C23×C4
FrattiniC2×C4C23×D73
FittingC22×#41×C73C2
socleC22×C73C2×C22⋊C4
hypercenterC22×#41D73
hypocenterC73C2×#413
LCSG ▷ C22×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#41

756 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1484 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32991321, #32991322, #32991331, …
maximal normal subgroup of#32991321, #32991322, #32991331, …
maximal quotient ofC2×#22608245, C2×#22608249, #33051797, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 12985);