Finite Group Databasebeta

C2×C22⋊Dic787 #38737919

order25184
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊Dic787

Splittings

SylowC787 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D787
commutatorC2×C787C22×C4
FrattiniC22C22×D787
Fitting, prime radicalC24×C787C2
socleC23×C787C22
cosocleC22×C787C23
hypercenterC24D787
hypocenterC787C2×C22⋊C4
LCSG ▷ C2×C787 ▷ C787
UCSC1 ◁ C23 ◁ C24

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12592

Conjugacy classes & character table

6308 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25184, 98);