Finite Group Databasebeta

#518×D107 #28349644

order13696
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#518×D107

Splittings

Fitting#518×C107 ⋊ C2
SylowC107 ⋊ C2×#518

Subgroups

subgroupG/H
center, FrattiniC22C24×D107
commutatorC2×C107C24×C4
Fitting#518×C107C2
socle, cosocleC22×C107C25
prime radicalC22×D4×D107C2
hypercenter#518D107
hypocenterC107C2×#518
LCSG ▷ C2×C107 ▷ C107
UCSC1 ◁ C22 ◁ #518

1920 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1712

Conjugacy classes & character table

1870 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13696, 17693);