Finite Group Databasebeta

C4×#11758391 #16845396

order3968
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C2×C42

Aliases

direct productC4×#11758391

Splittings

SylowC31 ⋊ C4×#97

Subgroups

subgroupG/H
centerC2×C42C2×D31
commutatorC2×C31C43
FrattiniC22×C4C22×D31
FittingC43×C31C2
socle, prime radicalC23×C31C22×C4
cosocleC22×C4×C31C23
hypercenterC43D31
hypocenterC31C4×#97
LCSG ▷ C2×C31 ▷ C31
UCSC1 ◁ C2×C42 ◁ C43

360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3968

Conjugacy classes & character table

1040 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 4195);