Finite Group Databasebeta

C8×D109⋊C8 #28378224

order13952
automorphism?
homologyAbelianization (H1) = C2×C82 · Schur multiplier (H2) = C22×C8

Aliases

direct productC8×D109⋊C8
unambiguous semidirect productD109⋊C82

Splittings

derived, SylowC109 ⋊ C2×C82

Subgroups

subgroupG/H
center, hypercenterC4×C8#89137
commutator, hypocenterC109C2×C82
FrattiniC2×C4C22×#89137
FittingC4×C8×C109C4
socleC22×C109C2×C42
prime radicalC22×D109C42
cosocleC4×Dic109C23
LCSG ▷ C109
UCSC1 ◁ C4×C8

280 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6976

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 19702);