Finite Group Databasebeta

C2×#14521097 #16854317

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

Aliases

direct productC2×#14521097

Splittings

SylowC31 ⋊ C2×#430

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D31
commutatorC4×C31C23×C4
FrattiniC2×C4C23×D31
FittingC22×M16×C31C2
socleC22×C31C2×C4⋊C4
prime radicalC24×C31Q8
cosocleC2×C4×C31C24
hypercenterC22×M16D31
hypocenterC31C2×#430
LCSG ▷ C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×M16

460 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

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, 13116);