Finite Group Databasebeta

D61×#2194 #29833940

order15616
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD61×#2194

Splittings

FittingC61×#2194 ⋊ C2
SylowC61 ⋊ C2×#2194

Subgroups

subgroupG/H
centerC2#447×D61
commutator, cosocleC2×C8×C61C24
FrattiniC2×C8C23×D61
FittingC61×#2194C2
socleC2×C61C2×#447
prime radical#576×D61C2
hypercenter#2194D61
hypocenterC61C2×#2194
LCSG ▷ C2×C8×C61 ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C2×C4 ◁ #131 ◁ #2194

1130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 323495);