Finite Group Databasebeta

C2×#13068021 #14736136

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

Aliases

direct productC2×#13068021

Splittings

SylowC11 ⋊ C2×#1676

Subgroups

subgroupG/H
centerC23#66948
commutator, cosocleC42×C11C24
FrattiniC42C23×D11
FittingC2×C11×#335C2
socle, prime radicalC23×C11#121
hypercenterC2×#335D11
hypocenterC11C2×#1676
LCSG ▷ C42×C11 ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#335

638 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 151931);