Finite Group Databasebeta

C2×#95×Dic17 #16955392

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

Aliases

direct productC2×#95×Dic17

Splittings

SylowC17 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D17
commutatorC2×C17C2×C43
FrattiniC24C23×D17
FittingC22×C17×#95C2
socle, prime radicalC25×C17C23
cosocleC24×C17C24
hypercenterC22×#95D17
hypocenterC17C2×C4×#95
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 90636);