Finite Group Databasebeta

C2×C49×D197 #50311007

order38612
isoclinismisoclinic class of D197
automorphism?
homologyAbelianization (H1) = C22×C49 · Schur multiplier (H2) = C2

Aliases

direct productC2×C49×D197

Splittings

FittingC2×C49×C197 ⋊ C2
derived, SylowC197 ⋊ C22×C49
HallC49×C197 ⋊ C22

Subgroups

subgroupG/H
center, hypercenterC2×C49D197
commutator, hypocenterC197C22×C49
FrattiniC7C2×C7×D197
FittingC2×C49×C197C2
socleC2×C7×C197C2×C7
prime radicalC2×C7×D197C7
cosocleC7×C197C22×C7
LCSG ▷ C197
UCSC1 ◁ C2×C49

30 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38612, 16);