Finite Group Databasebeta

C2×#95×Dic89 #36475496

order22784
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic89

Splittings

SylowC89 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D89
commutatorC2×C89C2×C43
FrattiniC24C23×D89
FittingC22×#95×C89C2
socle, prime radicalC25×C89C23
cosocleC24×C89C24
hypercenterC22×#95D89
hypocenterC89C2×C4×#95
LCSG ▷ C2×C89 ▷ C89
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 22784

Conjugacy classes & character table

3680 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 90636);