Finite Group Databasebeta

C2×#17988355 #22609666

order9344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#17988355

Splittings

SylowC73 ⋊ C2×#343

Subgroups

subgroupG/H
centerC23#11924005
commutatorC22×C73C2×C42
FrattiniC22×C4C22×D73
FittingC22×M16×C73C2
socleC23×C73C22⋊C4
hypercenterC22×M16D73
hypocenterC73C2×#343
LCSG ▷ C22×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×M16

432 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#343×Dic73, C4×#17988355, #32991250, …
maximal normal subgroup of#343×Dic73, C4×#17988355, #32991250, …
maximal quotient ofC2×#22607773, #32975580, #32975583, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 4245);