Finite Group Databasebeta

C2×#13070017 #14782494

order2816
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13070017

Splittings

SylowC11 ⋊ C2×#2070

Subgroups

subgroupG/H
centerC22#10622561
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#101C2
socleC22×C11#396
prime radicalC24×C11C2×Q8
hypercenterC22×#101D11
hypocenterC11C2×#2070
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

950 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 198289);