Finite Group Databasebeta

C2×#95×#595 #17962908

order4352
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×#595

Splittings

FittingC2×C17×#95 ⋊ C4
SylowC17 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC24C22×#595
commutatorC2×C17C2×C43
FrattiniC23C23×#595
FittingC2×C17×#95C4
socleC24×C17C22×C4
prime radicalC24×D17C23
cosocleC23×D17C24
hypercenterC2×#95#595
hypocenterC17C2×C4×#95
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1098152);