Finite Group Databasebeta

C4×Dic218 #16812665

order3488
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC4×Dic218

Splittings

SylowC109 ⋊ C4×Q8

Subgroups

subgroupG/H
centerC2×C4C2×D109
commutatorC2×C109C22×C4
FrattiniC22C22×D109
FittingC42×C109C2
socle, prime radical, cosocleC22×C109C23
hypercenterC42D109
hypocenterC109C4×Q8
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C2×C4 ◁ C42

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3488

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3488, 112);