Finite Group Databasebeta

C2×#14519865 #16840839

order3904
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14519865

Splittings

SylowC61 ⋊ C2×#131

Subgroups

subgroupG/H
centerC22C22×#6923
commutatorC2×C61C23×C4
FrattiniC2C23×#6923
FittingC2×Q8×C61C4
socleC22×C61C22×C4
prime radicalC2×#11758226C2
cosocleDic61C24
hypercenterC2×Q8#6923
hypocenterC61C2×#131
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×Q8

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

190 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 1626);