Finite Group Databasebeta

#520×D107 #28349653

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

Aliases

direct product#520×D107

Splittings

Fitting#520×C107 ⋊ C2
SylowC107 ⋊ C2×#520

Subgroups

subgroupG/H
center, FrattiniC22C24×D107
commutatorC2×C107C24×C4
Fitting#520×C107C2
socle, cosocleC22×C107C25
prime radicalC2×#41×D107C2
hypercenter#520D107
hypocenterC107C2×#520
LCSG ▷ C2×C107 ▷ C107
UCSC1 ◁ C22 ◁ #520

1640 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3424

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, 17702);