Finite Group Databasebeta

D61×#2965 #30544448

order15616
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD61×#2965

Splittings

FittingC61×#2965 ⋊ C2
SylowC61 ⋊ C2×#2965

Subgroups

subgroupG/H
centerC42C23×D61
commutator, socleC22×C61C24×C4
FrattiniC2×C4C24×D61
FittingC61×#2965C2
prime radicalC2×#41×D61C4
cosocleC2×C4×C61C25
hypercenter#2965D61
hypocenterC61C2×#2965
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C42 ◁ #2965

2286 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3904

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1034003);