Finite Group Databasebeta

C2×#14520900 #16848045

order3968
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#14520900

Splittings

SylowC31 ⋊ C2×C4×C4⋊C4

Subgroups

subgroupG/H
centerC24C22×D31
commutatorC2×C31C22×C42
FrattiniC23C23×D31
FittingC2×C31×#95C2
socle, prime radicalC24×C31C23
cosocleC23×C31C24
hypercenterC2×#95D31
hypocenterC31C2×C4×C4⋊C4
LCSG ▷ C2×C31 ▷ C31
UCSC1 ◁ C24 ◁ C2×#95

928 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3968

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 6844);