Finite Group Databasebeta

#103×Dic107 #28336283

order13696
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic107

Splittings

SylowC107 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D107
commutatorC4×C107C2×C42
FrattiniC22×C4C22×D107
FittingC2×#103×C107C2
socle, prime radicalC23×C107C2×D4
cosocleC22×C4×C107C23
hypercenterC2×#103D107
hypocenterC107C4×#103
LCSG ▷ C4×C107 ▷ C2×C107 ▷ C107
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13696

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13696, 4332);