Finite Group Databasebeta

C2×#95×Dic73 #33007052

order18688
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic73

Splittings

SylowC73 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D73
commutatorC2×C73C2×C43
FrattiniC24C23×D73
FittingC22×#95×C73C2
socle, prime radicalC25×C73C23
cosocleC24×C73C24
hypercenterC22×#95D73
hypocenterC73C2×C4×#95
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 18688

Conjugacy classes & character table

3040 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 90636);