Finite Group Databasebeta

C2×#103×D31 #16854199

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#103×D31

Splittings

FittingC2×C31×#103 ⋊ C2
SylowC31 ⋊ C22×#103

Subgroups

subgroupG/H
centerC23D4×D31
commutatorC4×C31C23×C4
FrattiniC2×C4C23×D31
FittingC2×C31×#103C2
socleC23×C31C2×D4
prime radicalC23×D31D4
cosocleC2×C4×C31C24
hypercenterC2×#103D31
hypocenterC31C22×#103
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

816 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 12998);