Finite Group Databasebeta

C2×#95×Dic79 #34209337

order20224
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic79

Splittings

SylowC79 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D79
commutatorC2×C79C2×C43
FrattiniC24C23×D79
FittingC22×#95×C79C2
socle, prime radicalC25×C79C23
cosocleC24×C79C24
hypercenterC22×#95D79
hypocenterC79C2×C4×#95
LCSG ▷ C2×C79 ▷ C79
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 20224

Conjugacy classes & character table

3280 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 90636);