Finite Group Databasebeta

C2×#14530185 #17063045

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14530185

Splittings

SylowC17 ⋊ C2×#2070

Subgroups

subgroupG/H
centerC22#11762732
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC22×C17×#101C2
socleC22×C17#396
prime radicalC24×C17C2×Q8
hypercenterC22×#101D17
hypocenterC17C2×#2070
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

950 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 198289);