Finite Group Databasebeta

C8×#88047 #15754149

order3328
isoclinismisoclinic class of #6104
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC8×#88047

Splittings

SylowC13 ⋊ C8×#107

Subgroups

subgroupG/H
centerC22×C8C22⋊D13
commutatorC4×C13C2×C4×C8
FrattiniC2×C42C22×D13
FittingC8×C13×C4⋊C4C2
socle, prime radicalC23×C13C4×D4
cosocleC2×C42×C13C23
hypercenterC8×C4⋊C4D13
hypocenterC13C8×#107
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C2×C4×C8 ◁ C8×C4⋊C4

446 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 60798);