Finite Group Databasebeta

C4×Dic206 #15692987

order3296
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC4×Dic206

Splittings

SylowC103 ⋊ C4×Q8

Subgroups

subgroupG/H
centerC2×C4C2×D103
commutatorC2×C103C22×C4
FrattiniC22C22×D103
FittingC42×C103C2
socle, prime radical, cosocleC22×C103C23
hypercenterC42D103
hypocenterC103C4×Q8
LCSG ▷ C2×C103 ▷ C103
UCSC1 ◁ C2×C4 ◁ C42

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3296

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3296, 112);