Finite Group Databasebeta

C4×#95×D17 #16955391

order4352
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC4×#95×D17

Splittings

FittingC4×C17×#95 ⋊ C2
SylowC17 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC23×C4C22×D17
commutatorC2×C17C2×C43
FrattiniC24C23×D17
FittingC4×C17×#95C2
socle, cosocleC24×C17C24
prime radicalC24×D17C23
hypercenterC4×#95D17
hypocenterC17C2×C4×#95
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C23×C4 ◁ C4×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

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, 90635);