Finite Group Databasebeta

C2×#17989402 #22624696

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

Aliases

direct productC2×#17989402

Splittings

FittingC2×2−1+4×C73 ⋊ C2
SylowC73 ⋊ C2×#578

Subgroups

subgroupG/H
centerC22C22×C22⋊D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC2×2−1+4×C73C2
socleC22×C73C22×D4
hypercenterC2×2−1+4D73
hypocenterC73C2×#578
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×2−1+4

1408 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1268 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#33101902, #33101905, #33101929, …
maximal normal subgroup of#33101902, #33101905, #33101929, …
maximal quotient ofC2×#22618461, C2×#22618464, C2×#22618529, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19275);