Finite Group Databasebeta

#103×Dic139 #31806226

order17792
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic139

Splittings

SylowC139 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D139
commutatorC4×C139C2×C42
FrattiniC22×C4C22×D139
FittingC2×#103×C139C2
socle, prime radicalC23×C139C2×D4
cosocleC22×C4×C139C23
hypercenterC2×#103D139
hypocenterC139C4×#103
LCSG ▷ C4×C139 ▷ C2×C139 ▷ C139
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17792

Conjugacy classes & character table

1988 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17792, 4332);