Finite Group Databasebeta

#95×D268 #30777302

order17152
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×D268

Splittings

FittingC4×#95×C67 ⋊ C2
SylowC67 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D67
commutatorC22×C67C22×C42
FittingC4×#95×C67C2
socle, cosocleC24×C67C24
prime radicalC23×D268C22
hypercenterC4×#95D67
hypocenterC67D4×#95
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C24 ◁ C4×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 8576

Conjugacy classes & character table

2740 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 91039);