Finite Group Databasebeta

C2×#14519766 #16840280

order3904
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#14519766

Splittings

FittingC22×Q8×C61 ⋊ C2
SylowC61 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D61
commutator, cosocleC22×C61C24
FrattiniC22C23×D61
FittingC22×Q8×C61C2
socleC23×C61C23
prime radicalC22×D244C2
hypercenterC22×Q8D61
hypocenterC61C2×#124
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×Q8

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 1067);