Finite Group Databasebeta

#95×#3622 #16939481

order4352
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#95×#3622

Splittings

SylowC17 ⋊ C8×#95

Subgroups

subgroupG/H
center, FrattiniC23×C4C22×D17
commutatorC2×C17C42×C8
FittingC4×C17×#95C2
socle, prime radicalC24×C17C22×C4
cosocleC23×C4×C17C23
hypercenterC4×#95D17
hypocenterC17C8×#95
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C23×C4 ◁ C4×#95

1174 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 74725);