Finite Group Databasebeta

C2×#14521091 #16854296

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14521091

Splittings

SylowC31 ⋊ C2×#428

Subgroups

subgroupG/H
centerC23C2×D124
commutatorC4×C31C23×C4
FrattiniC2×C4C23×D31
FittingC22×M16×C31C2
socleC23×C31C2×D4
prime radicalC24×C31D4
cosocleC2×C4×C31C24
hypercenterC22×M16D31
hypocenterC31C2×#428
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×M16

536 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 13095);