Finite Group Databasebeta

C2×#14542646 #17942396

order4352
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#14542646

Splittings

SylowC17 ⋊ C2×#3507

Subgroups

subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
Fitting, prime radicalC2×C17×#532C2
socleC23×C17C25
hypercenterC2×#532D17
hypocenterC17C2×#3507
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#532

7130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1077640);