Finite Group Databasebeta

C2×#17989385 #22624676

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

Aliases

direct productC2×#17989385

Splittings

FittingC22×#41×C73 ⋊ C2
SylowC73 ⋊ C2×#575

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC22×#41×C73C2
socleC22×C73C22×D4
hypercenterC22×#41D73
hypocenterC73C2×#575
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#41

1484 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#32992752, #32992753, #32992756, …
maximal normal subgroup of#32992752, #32992753, #32992756, …
maximal quotient ofC2×#22618448, C2×#22618450, C2×#22618520, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19255);