Finite Group Databasebeta

C8×#88102 #16780941

order3328
isoclinismisoclinic class of #88101
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC8×#88102

Splittings

FittingC82×C13 ⋊ C4
SylowC13 ⋊ C8×#107

Subgroups

subgroupG/H
centerC2×C8C4⋊#261
commutatorC4×C13C2×C4×C8
FrattiniC42C22×#261
FittingC82×C13C4
socleC22×C13C4×C4⋊C4
prime radicalC22×D13C4×D4
cosocleC42×D13C23
hypercenterC82#261
hypocenterC13C8×#107
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ C82

446 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1087590);