Finite Group Databasebeta

#479×D139 #31816177

order17792
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct product#479×D139

Splittings

Fitting#479×C139 ⋊ C2
SylowC139 ⋊ C2×#479

Subgroups

subgroupG/H
centerC22C2×D4×D139
commutator, cosocleC2×C4×C139C24
FrattiniC2×C4C23×D139
Fitting#479×C139C2
socleC22×C139C22×D4
prime radicalC22×D139C2×D4
hypercenter#479D139
hypocenterC139C2×#479
LCSG ▷ C2×C4×C139 ▷ C2×C139 ▷ C139
UCSC1 ◁ C22 ◁ C42 ◁ #479

384 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 8896

Conjugacy classes & character table

1349 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17792, 14283);