Finite Group Databasebeta

C2×#14526994 #16955360

order4352
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14526994

Splittings

FittingC2×C17×C64 ⋊ C2
SylowC17 ⋊ C2×M128

Subgroups

subgroupG/H
centerC2×C32C2×D17
commutatorC2×C17C22×C32
FrattiniC32C22×D17
FittingC2×C17×C64C2
socleC22×C17C2×C32
prime radicalC22×D17C32
cosocleC17×C32C23
hypercenterC2×C64D17
hypocenterC17C2×M128
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C32 ◁ C2×C64

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

1184 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 90604);