Finite Group Databasebeta

C2×#14519834 #16840731

order3904
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C24

Aliases

direct productC2×#14519834

Splittings

SylowC61 ⋊ C2×C22⋊C8

Subgroups

subgroupG/H
centerC23C2×#6923
commutatorC2×C61C22×C8
FrattiniC22C22×#6923
FittingC22×C4×C61C4
socleC23×C61C2×C4
prime radicalC23×D61C4
cosocleC2×Dic61C23
hypercenterC22×C4#6923
hypocenterC61C2×C22⋊C8
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C4

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 1518);