Finite Group Databasebeta

#395×Dic67 #30777644

order17152
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#395×Dic67

Splittings

SylowC67 ⋊ C4×#395

Subgroups

subgroupG/H
center, FrattiniC24C23×D67
commutatorC23×C67C23×C4
FittingC2×#395×C67C2
socle, prime radical, cosocleC24×C67C24
hypercenterC2×#395D67
hypocenterC67C4×#395
LCSG ▷ C23×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#395

1942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17152

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 91381);