Finite Group Databasebeta

C8×D244 #16839829

order3904
isoclinismisoclinic class of Dic122
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productC8×D244

Splittings

FittingC4×C8×C61 ⋊ C2
SylowC61 ⋊ C8×D4

Subgroups

subgroupG/H
centerC2×C8C2×D61
commutatorC2×C61C22×C8
FrattiniC2×C4C22×D61
FittingC4×C8×C61C2
socleC22×C61C22×C4
prime radicalC2×D244C4
cosocleC2×C4×C61C23
hypercenterC4×C8D61
hypocenterC61C8×D4
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C8 ◁ C4×C8

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

1000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 616);